# Quiz 23: Circuits

Physics & Astronomy

Q 1Q 1

When two or more different capacitors are connected in series across a potential source, which of the following statements must be true? (There could be more than one correct choice.)
A)The total voltage across the combination is the algebraic sum of the voltages across the individual capacitors.
B)Each capacitor carries the same amount of charge.
C)The equivalent capacitance of the combination is less than the capacitance of any of the capacitors.
D)The potential difference across each capacitor is the same.
E)The capacitor with the largest capacitance has the most charge.

Free

Multiple Choice

A, B, C

Q 2Q 2

Three identical capacitors are connected in series across a potential source (battery). If a charge of Q flows into this combination of capacitors, how much charge does each capacitor carry?
A)3Q
B)Q
C)Q/3
D)Q/9

Free

Multiple Choice

B

Q 3Q 3

Three identical capacitors are connected in parallel to a potential source (battery). If a charge of Q flows into this combination, how much charge does each capacitor carry?
A)3Q
B)Q
C)Q/3
D)Q/9

Free

Multiple Choice

C

Q 4Q 4

When two or more different capacitors are connected in parallel across a potential source (battery), which of the following statements must be true? (There could be more than one correct choice.)
A)The potential difference across each capacitor is the same.
B)Each capacitor carries the same amount of charge.
C)The equivalent capacitance of the combination is less than the capacitance of any one of the capacitors.
D)The capacitor with the largest capacitance has the largest potential difference across it.
E)The capacitor with the largest capacitance has the most charge.

Free

Multiple Choice

Q 5Q 5

A 5-µF, a 7-µF, and an unknown capacitor C

_{X}are connected in series between points a and b. What do you know about the equivalent capacitance C_{ab}between a and b? (There could be more than one correct choice.) A)C_{ab}> 12 µF B)5 µF < C_{ab}< 7 µF C)5 µF < C_{ab}< 12 µF D)C_{ab}< 5 µF E)C_{ab}< C_{X}Free

Multiple Choice

Q 6Q 6

A 5-µF, a 7-µF, and an unknown capacitor C

_{X}are connected in parallel between points a and b as shown in the figure. What do you know about the equivalent capacitance C_{ab}between a and b? (There could be more than one correct choice.) A)C_{ab}> 12 µF B)C_{ab}> C_{X}C)5 µF < C_{ab}< 12 µF D)C_{ab}< 5 µF E)C_{ab}< C_{X}Free

Multiple Choice

Q 7Q 7

Suppose you have two capacitors and want to use them to store the maximum amount of energy by connecting them across a voltage source. You should connect them
A)in series across the source.
B)in parallel across the source.
C)It doesn't matter because the stored energy is the same either way.

Free

Multiple Choice

Q 8Q 8

Four unequal resistors are connected in series with each other. Which one of the following statements is correct about this combination?
A)The equivalent resistance is equal to that of any one of the resistors.
B)The equivalent resistance is equal to average of the four resistances.
C)The equivalent resistance is less than that of the smallest resistor.
D)The equivalent resistance is less than that of the largest resistor.
E)The equivalent resistance is more than the largest resistance.

Free

Multiple Choice

Q 9Q 9

Four unequal resistors are connected in a parallel with each other. Which one of the following statements is correct about this combination?
A)The equivalent resistance is less than that of the smallest resistor.
B)The equivalent resistance is equal to the average of the four resistances.
C)The equivalent resistance is midway between the largest and smallest resistance.
D)The equivalent resistance is more than the largest resistance.
E)None of the other choices is correct.

Free

Multiple Choice

Q 10Q 10

When unequal resistors are connected in parallel in a circuit,
A)the same current always runs through each resistor.
B)the potential drop is always the same across each resistor.
C)the largest resistance has the largest current through it.
D)the power generated in each resistor is the same.

Free

Multiple Choice

Q 11Q 11

When unequal resistors are connected in series across an ideal battery,
A)the same power is dissipated in each one.
B)the potential difference across each is the same.
C)the current flowing in each is the same.
D)the equivalent resistance of the circuit is less than that of the smallest resistor.
E)the equivalent resistance of the circuit is equal to the average of all the resistances.

Free

Multiple Choice

Q 12Q 12

You obtain a 100-W light bulb and a 50-W light bulb. Instead of connecting them in the normal way, you devise a circuit that places them in series across normal household voltage. If each one is an incandescent bulb of fixed resistance, which statement about these bulbs is correct?
A)Both bulbs glow with the same brightness, but less than their normal brightness.
B)Both bulbs glow with the same brightness, but more than their normal brightness.
C)The 100-W bulb glows brighter than the 50-W bulb.
D)The 50-W bulb glows more brightly than the 100-W bulb.

Free

Multiple Choice

Q 13Q 13

As more resistors are added in series to a constant voltage source, the power supplied by the source
A)increases.
B)decreases.
C)does not change.
D)increases for a time and then starts to decrease.

Free

Multiple Choice

Q 14Q 14

As more resistors are added in parallel across a constant voltage source, the power supplied by the source
A)increases.
B)decreases.
C)does not change.
D)increases for a time and then starts to decrease.

Free

Multiple Choice

Q 15Q 15

When different resistors are connected in parallel across an ideal battery, we can be certain that
A)the same current flows in each one.
B)the potential difference across each is the same.
C)the power dissipated in each is the same.
D)their equivalent resistance is greater than the resistance of any one of the individual resistances.
E)their equivalent resistance is equal to the average of the individual resistances.

Free

Multiple Choice

Q 16Q 16

The lamps in a string of decorative lights are connected in parallel across a constant-voltage power source. What happens if one lamp burns out? (Assume negligible resistance in the wires leading to the lamps.)
A)The brightness of the lamps will not change appreciably.
B)The other lamps get brighter equally.
C)The other lamps get brighter, but some get brighter than others.
D)The other lamps get dimmer equally.
E)The other lamps get dimmer, but some get dimmer than others.

Free

Multiple Choice

Q 17Q 17

A 9-V battery is hooked up to two resistors in series using wires of negligible resistance. One has a resistance of 5 Ω, and the other has a resistance of 10 Ω. Several locations along the circuit are marked with letters, as shown in the figure. Which statements about this circuit are true? (There could be more than one correct choice.)
A)The current is exactly the same at points A, B, C, and D.
B)The current at A is greater than the current at B, which is equal to the current at C, which is greater than the current at D.
C)The current at A is greater than the current at B, which is greater than the current at C, which is greater than the current at D.
D)The potential at B is equal to the potential at C.
E)The potential at D is equal to the potential at C.

Free

Multiple Choice

Q 18Q 18

A 9-V battery is hooked up to two resistors in series. One has a resistance of 5 Ω, and the other has a resistance of 10 Ω. Several locations along the circuit are marked with letters, as shown in the figure. Through which resistor is energy being dissipated at the higher rate?
A)the 10-Ω resistor
B)the 5-Ω resistor
C)Energy is being dissipated by both resistors at the same rate.

Free

Multiple Choice

Q 19Q 19

Identical ideal batteries are connected in different arrangements to the same light bulb, as shown in the figure. For which arrangement will the bulb shine the brightest?
A)A
B)B
C)C

Free

Multiple Choice

Q 20Q 20

A resistor is made out of a wire having a length L. When the ends of the wire are attached across the terminals of an ideal battery having a constant voltage V

_{0}across its terminals, a current I flows through the wire. If the wire were cut in half, making two wires of length L/2, and both wires were attached across the terminals of the battery (the right ends of both wires attached to one terminal, and the left ends attached to the other terminal), how much current would the battery put out? A)4I B)2I C)I D)I/2 E)I/4Free

Multiple Choice

Q 21Q 21

In the circuit shown in the figure, the resistor R has a variable resistance. As R is decreased, what happens to the currents?
A)I

_{1}remains unchanged and I_{2}increases. B)I_{1}decreases and I_{2}decreases. C)I_{1}decreases and I_{2}increases. D)I_{1}increases and I_{2}decreases. E)I_{1}increases and I_{2}increases.Free

Multiple Choice

Q 22Q 22

Kirchhoff's junction rule is a statement of
A)the law of conservation of momentum.
B)the law of conservation of charge.
C)the law of conservation of energy.
D)the law of conservation of angular momentum.
E)Newton's second law.

Free

Multiple Choice

Q 23Q 23

Kirchhoff's loop rule is a statement of
A)the law of conservation of momentum.
B)the law of conservation of charge.
C)the law of conservation of energy.
D)the law of conservation of angular momentum.
E)Newton's second law.

Free

Multiple Choice

Q 24Q 24

For the circuit shown in the figure, write the Kirchhoff current equation for the node labeled A. Notice the directions of the currents!

Free

Essay

Q 25Q 25

For the circuit shown in the figure, write the Kirchhoff loop equation for the entire outside loop. Notice the directions of the currents!

Free

Essay

Q 26Q 26

A resistor, an uncharged capacitor, a dc voltage source, and an open switch are all connected in series. The switch is closed at time t = 0 s. Which one of the following is a correct statement about this circuit?
A)The charge on the capacitor after four time constants is about 98% of the maximum value.
B)The charge on the capacitor after one time constant is 50% of its maximum value.
C)The charge on the capacitor after one time constant is 1/e of its maximum value.
D)The voltage on the capacitor after one time constant is 1/e of the maximum value.
E)The voltage on this capacitor after one time constant is 100% of its maximum value.

Free

Multiple Choice

Q 27Q 27

A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in parallel with the first one, the time constant of the new RC circuit will be
A)the same as before.
B)twice as large as before.
C)three times a large as before.
D)one-half as large as before.
E)one-fourth as large as before.

Free

Multiple Choice

Q 28Q 28

A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in series with the first one, the time constant of the new RC circuit will be
A)the same as before.
B)larger than before.
C)smaller than before.
D)variable.

Free

Multiple Choice

Q 29Q 29

A resistor, an uncharged capacitor, a dc voltage source, and an open switch are all connected in series. The switch is closed at time t = 0 s. Which one of the following is a correct statement about the circuit?
A)The capacitor charges to its maximum value in one time constant.
B)The capacitor charges to its maximum value in two time constants.
C)The potential difference across the resistor is always equal to the potential difference across the capacitor.
D)Current flows through the circuit even after the capacitor is essentially fully charged.
E)Once the capacitor is essentially fully charged, there is no current in the circuit.

Free

Multiple Choice

Q 30Q 30

A 4.0-µF capacitor and an 8.0-µF capacitor are connected together. What is the equivalent capacitance of the combination if they are connected (a)in series or (b)in parallel?

Free

Essay

Q 31Q 31

You have three capacitors with capacitances of 4.00 μF, 7.00 μF, and 9.00 μF. What is the equivalent capacitance if they are connected (a)in series and (b)in parallel?

Free

Essay

Q 32Q 32

A network of capacitors is connected across a potential difference V

_{0}as shown in the figure. (a)What should V_{0}be so that the 60.0-µF capacitor will have 18.0 µC of charge on each of its plates? (b)Under the conditions of part (a), how much total energy is stored in this network of capacitors?Free

Essay

Q 33Q 33

A network of capacitors is mostly inside a sealed box, but one capacitor C

_{X}is sticking out, as shown in the figure. When you connect a multimeter across points a and b, it reads 27.0 µF. What is C_{X}? A)27.0 µF B)23.0 µF C)4.0 µF D)2.4 µF E)2.2 µFFree

Multiple Choice

Q 34Q 34

A 5.0-μF capacitor and a 7.0-μF capacitor are connected in series across an 8.0-V potential source. What is the potential difference across the 5.0-μF capacitor?
A)0 V
B)8.0 V
C)2.7 V
D)3.6 V
E)4.7 V

Free

Multiple Choice

Q 35Q 35

A 2.0-μF capacitor and a 4.0-μF capacitor are connected in series across an 8.0-V potential source. What is the charge on the 2.0-μF capacitor?
A)2.0 μC
B)4.0 μC
C)12 μC
D)11 μC
E)25 μC

Free

Multiple Choice

Q 36Q 36

Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?
A)12 μF
B)4.0 μC
C)7.1 μF
D)1.7 μF
E)8.0 μF

Free

Multiple Choice

Q 37Q 37

A system of four capacitors is connected across a 90-V voltage source as shown in the figure. What is the equivalent capacitance of this system?
A)1.5 μF
B)15 μF
C)3.6 μF
D)3.3 μF

Free

Multiple Choice

Q 38Q 38

A system of four capacitors is connected across a 90-V voltage source as shown in the figure.
(a)What is the charge on the 4.0-µF capacitor?
(b)What is the charge on the 2.0-µF capacitor?

Free

Essay

Q 39Q 39

A system of four capacitors is connected across a 90-V voltage source as shown in the figure.
(a)What is the potential difference across the plates of the 6.0-µF capacitor?
(b)What is the charge on the 3.0-µF capacitor?

Free

Essay

Q 40Q 40

A 5.0-μF, a 14-μF, and a capacitor are connected in parallel. How much capacitance would a single capacitor need to have to replace the three capacitors?
A)40 μF
B)
C)5.0 μF
D)14 μF

Free

Multiple Choice

Q 41Q 41

A 5.0-μF, a 14-μF, and a 21-μF capacitor are connected in series. How much capacitance would a single capacitor need to have to replace the three capacitors?
A)40 μF
B)3.6 μF
C)2.0 μF
D)3.1 μF

Free

Multiple Choice

Q 42Q 42

A 5.0-μF and a 12.0-μF capacitor are connected in series, and the series arrangement is connected in parallel to a capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?
A)33 μF
B)13 μF
C)16 μF
D)38 μF

Free

Multiple Choice

Q 43Q 43

Four 16-μF capacitors are connected in combination. What is the equivalent capacitance of this combination if they are connected
(a)in series?
(b)in parallel?
(c)such that two of them are in parallel with each other and that combination is in series with the remaining two capacitors?

Free

Essay

Q 44Q 44

Three capacitors of capacitance 5.00 μF, 10.0 μF, and 50.0 μF are connected in series across a 12.0-V potential difference (a battery).
(a)How much charge is stored in the 5.00-μF capacitor?
(b)What is the potential difference across the 10.0-µF capacitor?

Free

Essay

Q 45Q 45

A 1.0-µF capacitor and a 2.0-µF capacitor are connected together, and then that combination is connected across a 3.0-V potential source (a battery). What is the potential difference across the 2.0-µF capacitor if the capacitors are connected (a)in series or (b)in parallel?

Free

Essay

Q 46Q 46

Two capacitors are connected as shown in the figure, with C

_{1}= 4.0 µF and C_{2}= 7.0 µF. If a voltage source V = 90 V is applied across the combination, find the potential difference across C_{1}. A)57 V B)36 V C)60 V D)9.0 VFree

Multiple Choice

Q 47Q 47

A potential difference of V = 100 V is applied across two capacitors in series, as shown in the figure. If = and the voltage drop across it is 75 V, what is the capacitance of C

_{2}? A)30 μF B)2.5 μF C)7.5 μF D)3.3 μFFree

Multiple Choice

Q 48Q 48

Three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. If the voltage drop across C

_{1}is what is the voltage drop across A)20 V B)10.0 V C)40 V D)30 VFree

Multiple Choice

Q 49Q 49

Three capacitors are arranged as shown in the figure, with a voltage source connected across the combination. C

_{1}has a capacitance of has a capacitance of and has a capacitance of Find the potential drop across the entire arrangement if the potential drop across C_{2}is A)1500 V B)1000 V C)470 V D)430 VFree

Multiple Choice

Q 50Q 50

The capacitive network shown in the figure is assembled with initially uncharged capacitors. Assume that all the quantities in the figure are accurate to two significant figures. The switch S in the network is kept open throughout. What is the total energy stored in the seven capacitors?
A)48 mJ
B)72 mJ
C)96 mJ
D)120 mJ
E)144 mJ

Free

Multiple Choice

Q 51Q 51

The network shown is assembled with uncharged capacitors X , Y, and Z, with and The switches S

_{1}and S_{2}are initially open, and a potential difference V_{ab}= 120 V is applied between points a and b. After the network is assembled, switch S_{1}is then closed, but switch S_{2}is kept open. How much energy is finally stored in capacitor X? A)29 mJ B)0.48 mJ C)0.24 mJ D)58 mJ E)0.96 mJFree

Multiple Choice

Q 52Q 52

The network shown is assembled with uncharged capacitors X , Y, and Z, with and The switches S

_{1}and S_{2}are initially open, and a potential difference V_{ab}= 120 V is applied between points a and b. After the network is assembled, switch S_{1}is then closed, but switch S_{2}is kept open. How much charge is finally stored in capacitor Y? A)110 µC B)54 µC C)81 µC D)140 µC E)160 µCFree

Multiple Choice

Q 53Q 53

The network shown is assembled with uncharged capacitors X , Y, and Z, with and The switches S

_{1}and S_{2}are initially open, and a potential difference V_{ab}= 120 V is applied between points a and b. After the network is assembled, switch S_{1}is then closed, but switch S_{2}is kept open. What is the final potential difference across capacitor Z? A)100 V B)600 V C)55 V D)38 V E)29 VFree

Multiple Choice

Q 54Q 54

The network shown is assembled with uncharged capacitors X , Y, and Z, with C

_{X}= 4.0 μF, C_{Y}= 6.0 μF, and C_{Z}= 5.0 μF. The switches S_{1}and S_{2}are initially open, and a potential difference V_{ab}= 120 V is applied between points a and b. After the network is assembled, switch S_{1}is then closed, but switch S_{2}is kept open. What is the final potential difference across capacitor X? A)120 V B)82 V C)75 V D)67 V E)60 VFree

Multiple Choice

Q 55Q 55

A group of 1.0-μF, 2.0-μF, and 3.0-μF capacitors is connected in parallel across a 24-V potential difference (a battery). How much energy is stored in this three-capacitor combination when the capacitors are fully charged?
A)1.7 mJ
B)2.1 mJ
C)4.8 mJ
D)7.1 mJ

Free

Multiple Choice

Q 56Q 56

A 9.00-µF and a 12.0-µF capacitor are connected together, and this combination is connected across a 25.0-V potential difference. How much electric energy is stored in the combination if they are connected (a)in parallel or (b)in series?

Free

Essay

Q 57Q 57

What different resistances can be obtained by using two 2.0-Ω resistors and one 4.0-Ω resistor? You must use all three of them in each possible combination.

Free

Essay

Q 58Q 58

Two resistors in series are equivalent to 9.0 Ω, and in parallel they are equivalent to 2.0 Ω. What are the resistances of these two resistors?

Free

Essay

Q 59Q 59

What resistance must be connected in parallel with a 633-Ω resistor to produce an equivalent resistance of 205 Ω?

Free

Essay

Q 60Q 60

What is the equivalent resistance between points A and B of the network shown in the figure?

Free

Essay

Q 61Q 61

A combination of a 2.0-Ω resistor in series with 4.0-Ω resistor is connected in parallel with a 3.0-Ω resistor. What is the equivalent resistance of this system?
A)2.0 Ω
B)3.0 Ω
C)4.0 Ω
D)9.0 Ω

Free

Multiple Choice

Q 62Q 62

Two 4.0-Ω resistors are connected in parallel, and this combination is connected in series with 3.0 Ω. What is the equivalent resistance of this system?
A)1.2 Ω
B)5.0 Ω
C)7.0 Ω
D)11 Ω

Free

Multiple Choice

Q 63Q 63

A 2.0-Ω resistor is in series with a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What is the equivalent resistance of this system?
A)24 Ω
B)4.0 Ω
C)1.8 Ω
D)2.7 Ω

Free

Multiple Choice

Q 64Q 64

What is the equivalent resistance in the circuit shown in the figure?
A)80 Ω
B)55 Ω
C)50 Ω
D)35 Ω

Free

Multiple Choice

Q 65Q 65

Each of the resistors shown in the figure has a resistance of What is the equivalent resistance between points a and b of this combination?
A)450.0 Ω
B)720.0 Ω
C)540.0 Ω
D)180.0 Ω

Free

Multiple Choice

Q 66Q 66

The resistors in the circuit shown in the figure each have a resistance of What is the equivalent resistance between points a and b of this combination?
A)700 Ω
B)2800 Ω
C)175 Ω
D)1400 Ω

Free

Multiple Choice

Q 67Q 67

Three 2.0-Ω resistors are connected to form the sides of an equilateral triangle ABC as shown in the figure. What is the equivalent resistance between any two points, AB, BC, or AC, of this circuit?
A)2.0 Ω
B)6.0 Ω
C)4.3 Ω
D)3.3 Ω
E)1.3 Ω

Free

Multiple Choice

Q 68Q 68

Five 2.0-Ω resistors are connected as shown in the figure. What is the equivalent resistance of this combination between points a and b?
A)1.0 Ω
B)10.0 Ω
C)2.0 Ω
D)6.0 Ω
E)0.40 Ω

Free

Multiple Choice

Q 69Q 69

A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?
A)4 Ω
B)6 Ω
C)8 Ω
D)10 Ω
E)12 Ω

Free

Multiple Choice

Q 70Q 70

A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?
A)4 Ω
B)6 Ω
C)8 Ω
D)10 Ω
E)12 Ω

Free

Multiple Choice

Q 71Q 71

What is the equivalent resistance of the circuit shown in the figure? The battery is ideal and all resistances are accurate to 3 significant figures.
A)950 Ω
B)450 Ω
C)392 Ω
D)257 Ω

Free

Multiple Choice

Q 72Q 72

Three light bulbs, A, B, and C, have electrical ratings as follows: Bulb A: 96.0 W, 1.70 A
Bulb B: 80.0 V, 205 W
Bulb C: 120 V, 0.400 A
These three bulbs are connected in a circuit across a 150-V voltage power source, as shown in the figure. Assume that the filament resistances of the light bulbs are constant and independent of operating conditions. What is the equivalent resistance of this combination of bulbs between the terminals of the power source?
A)61.5 Ω
B)15.3 Ω
C)74.0 Ω
D)86.2 Ω
E)364 Ω

Free

Multiple Choice

Q 73Q 73

Three resistors of 12 Ω, 12 Ω, and 6.0 Ω are connected together, and an ideal 12-V battery is connected across the combination. What is the current from the battery if they are connected (a)in series or (b)in parallel?

Free

Essay

Q 74Q 74

Two resistors with resistances of 5.0 Ω and 9.0 Ω are connected in parallel. A 4.0-Ω resistor is then connected in series with this parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through (a)the 4.0-Ω resistor and (b)the 5.0-Ω resistor?

Free

Essay

Q 75Q 75

Two 100-W light bulbs of fixed resistance are to be connected to an ideal 120-V source. What are the current, potential difference, and dissipated power for each bulb when they are connected
(a)in parallel (the normal arrangement)?
(b)in series?

Free

Essay

Q 76Q 76

For the circuit shown in the figure, R

_{1}= 5.6 Ω, R_{2}= 5.6 Ω, R_{3}= 14 Ω, and ε = 6.0 V, and the battery is ideal. (a)What is the equivalent resistance across the battery? (b)Find the current through each resistor.Free

Essay

Q 77Q 77

A 22-A current flows into a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What current flows through the 12-Ω resistor?
A)18 A
B)11 A
C)7.3 A
D)3.7 A

Free

Multiple Choice

Q 78Q 78

A 6.0-Ω and a 12-Ω resistor are connected in parallel across an ideal 36-V battery. What power is dissipated by the 6.0-Ω resistor?
A)220 W
B)48 W
C)490 W
D)24 W

Free

Multiple Choice

Q 79Q 79

The following three appliances are connected in parallel across an ideal 120-V dc power source: 1200-W toaster, 650-W coffee pot, and 600-W microwave. If all were operated at the same time what total current would they draw from the source?
A)4.0 A
B)5.0 A
C)10 A
D)20 A

Free

Multiple Choice

Q 80Q 80

A certain 20-A circuit breaker trips when the current in it equals 20 A. What is the maximum number of 100-W light bulbs you can connect in parallel in an ideal 120-V dc circuit without tripping this circuit breaker?
A)11
B)17
C)23
D)27

Free

Multiple Choice

Q 81Q 81

A15-Ω resistor is connected in parallel with a 30-Ω resistor. If this combination is now connected in series with an ideal 9.0-V battery and a 20-Ω resistor, what is the current through the 15-Ω resistor?
A)0.10 A
B)0.13 A
C)0.20 A
D)0.26 A

Free

Multiple Choice

Q 82Q 82

Three resistors of resistances 4.0 Ω, 6.0 Ω, and 10 Ω are connected in parallel. If this combination is now connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10-Ω resistor?
A)0.59 A
B)2.7 A
C)11 A
D)16 A

Free

Multiple Choice

Q 83Q 83

Two resistors having resistances of 5.0 Ω and 9.0 Ω are connected in parallel. A 4.0-Ω resistor is then connected in series with the parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through the 9.0-Ω resistor?
A)0.35 A
B)0.53 A
C)0.83 A
D)0.30 A
E)0.67 A

Free

Multiple Choice

Q 84Q 84

A 3.0-Ω resistor is connected in parallel with a 6.0-Ω resistor. This combination is then connected in series with a 4.0-Ω resistor. The resistors are connected across an ideal 12-volt battery. How much power is dissipated in the 3.0-Ω resistor?
A)2.7 W
B)5.3 W
C)6.0 W
D)12 W

Free

Multiple Choice

Q 85Q 85

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal dc voltage source. If the current through this circuit is 0.50 A, what is the voltage of the voltage source?
A)20 V
B)40 V
C)60 V
D)80 V
E)100 V

Free

Multiple Choice

Q 86Q 86

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal 50-V dc source. What is the current through each resistor?
A)0.25 A
B)0.50 A
C)0.75 A
D)2.0 A
E)4.0 A

Free

Multiple Choice

Q 87Q 87

If V = 40 V and the battery is ideal, what is the potential difference across R

_{1}in the figure? A)6.7 V B)8.0 V C)10 V D)20 VFree

Multiple Choice

Q 88Q 88

If V = 20 V and the battery is ideal, what is the current through R

_{3}in the figure? A)0.050 A B)0.20 A C)1.0 A D)4.0 AFree

Multiple Choice

Q 89Q 89

If 1.5 A flows through R

_{2}, what is the emf V of the ideal battery in the figure? A)150 V B)75 V C)60 V D)30 VFree

Multiple Choice

Q 90Q 90

If emf of the ideal battery is V = 100 V, what is the potential difference across R

_{5}for the circuit shown in the figure? A)19 V B)40 V C)75 V D)77 VFree

Multiple Choice

Q 91Q 91

If emf of the ideal battery is V = 4.0 V, what is the current through R

_{6}for the circuit shown in the figure? A)0.0077 A B)0.017 A C)0.040 A D)4.0 AFree

Multiple Choice

Q 92Q 92

What is the magnitude of the potential difference between points A and C for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.
A)6.0 V
B)4.0 V
C)3.0 V
D)2.0 V

Free

Multiple Choice

Q 93Q 93

What is the magnitude of the potential difference between points B and C for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.
A)6.0 V
B)4.0 V
C)3.0 V
D)2.0 V

Free

Multiple Choice

Q 94Q 94

What is the magnitude of the potential difference between points C and D for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.
A)6.0 V
B)4.0 V
C)3.0 V
D)2.0 V

Free

Multiple Choice

Q 95Q 95

What current flows from the battery in the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.
A)0.35 A
B)2.0 A
C)2.5 A
D)3.0 A

Free

Multiple Choice

Q 96Q 96

What is the potential drop from point A to point B for the circuit shown in the figure? The battery is ideal, and all the numbers are accurate to two significant figures.
A)0.35 V
B)2.0 V
C)2.5 V
D)3.0 V

Free

Multiple Choice

Q 97Q 97

A 4.0-Ω resistor is connected to a 12-Ω resistor and this combination is connected to an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the value of voltage V?
A)2.0 V
B)3.0 V
C)6.0 V
D)1.5 V
E)8.0 V

Free

Multiple Choice

Q 98Q 98

A 4.0-Ω resistor is connected with a 12-Ω resistor and both of these are connected across an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor?
A)2.0 A
B)2.5 A
C)0.5 A
D)3.0 A
E)1.5 A

Free

Multiple Choice

Q 99Q 99

A 4.0-Ω resistor is connected with a 12-Ω resistor and this combination is connected across an ideal dc power supply with V = 6.0 V, as shown in the figure. When a total current I flows from the power supply, what is the current through the 12-Ω resistor?
A)1.5 A
B)2.0 A
C)2.5 A
D)3.0 A
E)0.50 A

Free

Multiple Choice

Q 100Q 100

Four resistors are connected across an ideal dc battery with voltage V, as shown in the figure. If the total current in this circuit is I = 1 A, what is the value of the voltage V?
A)2 V
B)4 V
C)6 V
D)8 V
E)10 V

Free

Multiple Choice

Q 101Q 101

Four resistors are connected across an ideal dc battery with voltage V as shown in the figure. Assume that all quantities shown are accurate to two significant figures. If the total current through this circuit is I = 2.0 A, what is the current through the 4.0-Ω resistor?
A)1.0 A
B)2.0 A
C)3.0 A
D)1.3 A
E)2.4 A

Free

Multiple Choice

Q 102Q 102

An ideal 100-V dc battery is applied across a series combination of four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω. What is the potential difference across the 40-Ω resistor?
A)20 V
B)40 V
C)60 V
D)80 V
E)100 V

Free

Multiple Choice

Q 103Q 103

Four resistors are connected across an ideal dc source of V = 8.0 V, as shown in the figure. Assume all resistances shown are accurate to two significant figures. What is the current through the 9.0-Ω resistor?
A)1.0 A
B)0.67 A
C)0.50 A
D)0.90 A
E)2.0 A

Free

Multiple Choice

Q 104Q 104

Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V as shown in the figure. If the total current through the circuit is I = 2.0 A, what is the applied voltage V?
A)6.0 V
B)3.0 V
C)2.0 V
D)2.7 V
E)1.5 V

Free

Multiple Choice

Q 105Q 105

Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V = 2.0 V, as shown in the figure. What is the total current I in this circuit?
A)0.70 A
B)1.5 A
C)2.0 A
D)3.0 A
E)6.0 A

Free

Multiple Choice

Q 106Q 106

Three resistors with resistances of 2.0 Ω, 6.0 Ω, and 12 Ω are connected across an ideal dc voltage source V, as shown in the figure. If the total current in the circuit is I = 5.0 A, what is the current through the 12-Ω resistor?
A)1.7 A
B)2.5 A
C)0.56 A
D)5.0 A
E)0.75 A

Free

Multiple Choice

Q 107Q 107

For the circuit shown in the figure, the ideal battery has an emf ε = 80 V. The four resistors have resistances of and Calculate the rate at which heat is being generated in the resistor R

_{4}.Free

Essay

Q 108Q 108

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference V

_{A }- V_{B}if I = 5.0 A? A)63 V B)35 V C)55 V D)45 V E)71 VFree

Multiple Choice

Q 109Q 109

An ideal 10.0-V dc is connected across a resistor in series with an resistor. What is the potential drop across the resistor?
A)4.1 V
B)5.9 V
C)14 V
D)7.0 V

Free

Multiple Choice

Q 110Q 110

For the circuit shown in the figure, the current in the 8.0-Ω resistor is 0.50A. What is the current in the 2.0-Ω resistor? All the numbers shown are accurate to two significant figures.
A)2.25 A
B)0.75 A
C)4.5 A
D)9.5 A
E)6.4 A

Free

Multiple Choice

Q 111Q 111

For the circuit shown in the figure, what is the power dissipated in the 2.0-Ω resistor? All the numbers shown are accurate to three significant figures.
A)5.33 W
B)8.00 W
C)6.67 W
D)2.67 W
E)3.56 W

Free

Multiple Choice

Q 112Q 112

For the circuit shown in the figure, calculate the emf's ε

_{1}and ε_{3}, assuming that the batteries are ideal. Note that two currents are shown.Free

Essay

Q 113Q 113

In the circuit shown in the figure, R

_{1}= R_{2}= 90.0 Ω, R_{3}= R_{4}= 20.0 Ω, V_{1}= 7.0 V, V_{2}= 8.0 V, and the batteries are both ideal. What current does the ammeter read? A)0.40 A B)0.050 A C)0.83 A D)0.056 AFree

Multiple Choice

Q 114Q 114

In the circuit shown in the figure, R

_{1}= 60 Ω, R_{2}= 120 Ω, R_{3}= 180 Ω, V_{1}= 3.0 V, V_{2}= 6.0 V, and the batteries are both ideal. What is the current through R_{1}? A)0.050 A B)0.030 A C)0.00 A D)2.68 AFree

Multiple Choice

Q 115Q 115

In the circuit shown in the figure, R

_{1}= 10 Ω, R_{2}= 12 Ω, R_{3}= 20 Ω, V_{1}= 1.0 V, V_{2}= 7.0 V, and the batteries are both ideal. What is the current through R_{1}? A)0.60 A B)0.80 A C)0.18 A D)0.13 AFree

Multiple Choice

Q 116Q 116

For the circuit shown in the figure, R

_{1}= 18 Ω, R_{2}= 44 Ω, R_{3}= 33 Ω, R_{4}= 14 Ω, R_{5}= 12 Ω, V_{1 }= 18_{ }V, V_{2}= 12 V, and the batteries are ideal. Determine I_{1}and I_{2}.Free

Essay

Q 117Q 117

For the circuit shown in the figure, R

_{1}= 50 Ω, R_{2}= 20 Ω, R_{3}= 35 Ω, R_{4}= 10 Ω, R_{5}= 68 Ω, I_{1 }= 0.111 A, I_{2}= 0.142 A, and the batteries are ideal. (a)Determine V_{1}and V_{2}. (b)What is the potential difference across R_{4}?Free

Essay

Q 118Q 118

Determine the current in the 7.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.
A)0.28 A
B)1.3 A
C)1.6 A
D)2.1 A

Free

Multiple Choice

Q 119Q 119

Determine the current in the 8.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.
A)0.28 A
B)1.3 A
C)1.6 A
D)2.1 A

Free

Multiple Choice

Q 120Q 120

Determine the current in the 4.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.
A)0.28 A
B)1.3 A
C)1.6 A
D)2.1 A

Free

Multiple Choice

Q 121Q 121

Determine the current in the 12-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.
A)0.25 A
B)0.50 A
C)0.75 A
D)1.0 A

Free

Multiple Choice

Q 122Q 122

Determine the current in the 18-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.
A)0.25 A
B)0.50 A
C)0.75 A
D)1.0 A

Free

Multiple Choice

Q 123Q 123

For the circuit shown in the figure, both batteries are ideal. What current flows in the solid wire connecting the upper left and lower left corners of the circuit?
A)0.25 A
B)0.50 A
C)0.75 A
D)1.0 A

Free

Multiple Choice

Q 124Q 124

A multiloop circuit is shown in the figure. Find the current I

_{1}if the batteries are ideal. (It is not necessary to solve the entire circuit.) A)-2 A B)2 A C)6 A D)-5 A E)0 AFree

Multiple Choice

Q 125Q 125

A multiloop circuit is shown in the figure. Find the current I

_{2}^{ }if the batteries are ideal. (It is not necessary to solve the entire circuit.) A)-3 A B)3 A C)7 A D)-7 A E)0 AFree

Multiple Choice

Q 126Q 126

A multiloop circuit is shown in the figure. Find the emf ε

_{1}if the batteries are ideal. (It is not necessary to solve the entire circuit.) A)-4 V B)4 V C)44 V D)52 V E)-52 VFree

Multiple Choice

Q 127Q 127

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the emf ε if the batteries are ideal. (It is not necessary to solve the entire circuit.)
A)+3 V
B)+19 V
C)-3 V
D)-10 V
E)-19 V

Free

Multiple Choice

Q 128Q 128

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I

_{1}if the batteries are ideal. (It is not necessary to solve the entire circuit.) A)0 A B)+0.2 A C)+0.4 A D)-0.2 A E)-0.4 AFree

Multiple Choice

Q 129Q 129

A multiloop circuit is shown in the figure, but some quantities are not labeled. Find the current I

_{2}if the batteries are ideal. (It is not necessary to solve the entire circuit.) A)+0.1 A B)+0.3 A C)+0.5 A D)-0.1 A E)-0.3 AFree

Multiple Choice

Q 130Q 130

A 8.0-μF uncharged capacitor is connected in series with a 6.0-kΩ resistor, an ideal 20-V dc source, and an open switch. If the switch is closed at time t = 0.0 s, what is the charge on the capacitor at t = 9.0 ms?
A)0 C
B)37% of the minimum charge
C)17% of the maximum charge
D)68% of the minimum charge
E)96% of the maximum charge

Free

Multiple Choice

Q 131Q 131

A 2.0-μF capacitor that is initially uncharged is charged through a 50-kΩ resistor. How long does it take for the capacitor to reach 90% of its full charge?
A)0.90 s
B)0.23 s
C)2.2 s
D)2.3 s

Free

Multiple Choice

Q 132Q 132

A fully charged 37-µF capacitor is discharged through a 1.0-kΩ resistor. If the voltage across the capacitor is reduced to 7.6 volts after just 20 ms, what was the original potential across the capacitor?
A)16 V
B)13 V
C)11 V
D)9.0 V
E)8.0 V

Free

Multiple Choice

Q 133Q 133

When an initially uncharged capacitor is charged through a 25-kΩ resistor by a 75-V dc ideal power source, it takes 0.23 ms for the capacitor to reach 50% of its maximum charge? What is the capacitance of this capacitor?

Free

Essay

Q 134Q 134

A 2.0-μF capacitor is charged to 12 V and then discharged through a 4.0-MΩ resistor. How long will it take for the voltage across the capacitor to drop to 3.0 V?
A)8.0 s
B)11 s
C)22 s
D)24 s

Free

Multiple Choice

Q 135Q 135

For the circuit shown in the figure, V = 60 V, C = 20 µF, R = 0.10 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 8.0 s after closing the switch?
A)1200 µC
B)940 µC
C)1400 µC
D)1600 µC
E)1900 µC

Free

Multiple Choice

Q 136Q 136

For the circuit shown in the figure, V = 20 V, C = 10 µF, R = 0.80 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the potential difference across the resistor 20 s after closing the switch?
A)1.6 V
B)2.0 V
C)2.3 V
D)2.6 V
E)3.0 V

Free

Multiple Choice

Q 137Q 137

For the circuit shown in the figure, V = 60 V, C = 40 µF, R = 0.90 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. At a given instant after closing the switch, the potential difference across the capacitor is twice the potential difference across the resistor. At that instant, what is the charge on the capacitor?
A)1600 µC
B)1400 µC
C)1200 µC
D)890 µC
E)600 µC

Free

Multiple Choice

Q 138Q 138

For the circuit shown in the figure, C = 12 µF and R = 8.5 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor, when the current in the circuit is 3.3 µA?
A)350 µC
B)340 µC
C)480 µC
D)620 µC
E)700 µC

Free

Multiple Choice

Q 139Q 139

For the circuit shown in the figure, C = 13 µF and R = 7.6 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 40 s after closing the switch?
A)3300 µC
B)3100 µC
C)2900 µC
D)2700 µC
E)2500 µC

Free

Multiple Choice

Q 140Q 140

A 1.0-μF capacitor is charged until it acquires a potential difference of across its plates, and then the emf source is removed. If the capacitor is then discharged through a resistance, what is the voltage drop across the capacitor after beginning the discharge?
A)880 V
B)920 V
C)16 V
D)-16 V

Free

Multiple Choice

Q 141Q 141

The capacitor shown in the circuit in the figure is initially uncharged when the switch S is suddenly closed, and the battery is ideal. After one time constant has gone by, find (a)the current through the resistor and (b)the charge on the capacitor. Assume that the numbers shown are all accurate to two significant figures.

Free

Essay

Q 142Q 142

A circuit contains a 2.0-MΩ resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25% of its maximum charge in 1.5 s. What is its capacitance?

Free

Essay

Q 143Q 143

A series circuit consists of a 2.5-μF capacitor, a 7.6-MΩ resistor, and an ideal 6.0-V dc power source.
(a)What is the time constant for charging the capacitor?
(b)What is the potential difference across the capacitor 25 s after charging begins?

Free

Essay

Q 144Q 144

A resistor with a resistance of 360 Ω is in a series circuit with a capacitor of capacitance 7.3 × 10

^{-6}F. What capacitance must be placed in parallel with the original capacitance to change the capacitive time constant of the combination to three times its original value?Free

Essay

Q 145Q 145

In the circuit shown in the figure, all the capacitors are initially uncharged when the switch S is suddenly closed, and the battery is ideal. Find (a)the maximum reading of the ammeter and (b)the maximum charge on the 5.00-µF capacitor.

Free

Essay