Deck 6: Series-Parallel Circuits

Question 1

Maximum power is achievedW hen the load resistance is approximately two times the source resistance.

Answer 1

False

Question 2

A voltmeter,W hen connected across a component, can be viewed as being a resistor in seriesW ith that component.

Answer 2

False

Question 3

$\text { Figure } 6 \text { '1 }$

-If R₁=4.7 $k \Omega$ , R₂=3.3 $\mathrm { k } \Omega$ and R₃=1 $\mathrm { k } \Omega$ in Figure 6-1 , the total resistance equals________

A) 660 $\Omega$
B) 5700 $\Omega$
C) 4125 $\Omega$
D) 5467 $\Omega$

Answer 3

5467 $\Omega$

Question 4

R₁ is in series with R₃ in Figure 6-1.

Question 5

A series-parallel circuit consists of resistors in both series and parallel.

Question 6

$\text { Figure } 6 \text { '1 }$

-If V_S=20 V, R₁=10 $\mathrm { k } \Omega$ , R₂=50 $\mathrm { k } \Omega$ and R3=15 $\mathrm { k } \Omega$ in Figure 6-1, P_R2 equals________

A) 7.64 mW
B) 2.30 mW
C) 8.63 mW
D) 18.6 mW

Question 7

A bridge circuitʹs resistances must all be of the same value to be in a balanced condition.

Question 8

Thevinizing a circuit creates an equivalent series circuit.

Question 9

R₁ is in series with the parallel combination R₂ and R₃ in Figure 6-1.

Question 10

$\text { Figure } 6 \text { '1 }$

-In Figure 6-1, R₁ is connected in________

A) series with R₂
B) parallel with R₂
C) parallel with R₃
D) series with R₃
E) none of the above

Question 11

R₁ is in series with the series combination R₂ and R₃ in Figure 6-1.

Question 12

If two resistors are in parallel, they carry the same current.

Question 13

R₂ is in parallel with R₃ in Figure 6-1.

Question 14

$\text { Figure } 6 \text { '1 }$

-If R₃ opens in Figure 6-1,V_R1_____

A) decreases
B) remains the same
C) decreases to zero
D) increases

Question 15

Two or more resistors connected in series form a circuit known as a voltage divider

Question 16

No problems could occur if a 10 V source and a 20 V sourceW ere connected in parallel.

Question 17

A loaded voltage divider is a series-parallel circuit.

Question 18

The voltage across any open in a series-parallel circuitW ill be the source Voltage.

Question 19

$\text { Figure } 6 \text { '1 }$

-In Figure 6-1, R₂ is connected in______

A) series with R₃
B) parallel with R₁
C) parallel with R₃
D) series with R₁

Question 20

If two resistors are in parallel, they drop the same Voltage.

Question 21

If all resistors equal 4.7 and VS equals 20 V in Figure 6-2 , what is the value of I_R3 ?

A) 1.06 mA
B) 0.53 mA
C) 11.99 mA
D) 12.5 mA

Question 22

If V_R4=10 V in Figure 6-3 , what is the value of V_AD ?

A) 10 V
B) 30 V
C) 40 V
D) 20 V

Question 23

$\text { Figure } 6 \text { '1 }$

-If V_S=25 V, R₁=10 $\mathrm { k } \Omega$ , R₂=15 $k \Omega$ and R₃=50 $\mathrm { k } \Omega$ in Figure 6-1 , I_T equals_______

A) 1.16 mA
B) 1.58 mA
C) 2.17 mA
D) 2.5 mA

Question 24

$$\text { Figure } 6 ^ { \prime } 2$$

-If R₄ shorts in Figure 6-2, V_R5 _________

A) decreases to zero
B) decreases
C) increases
D) remains the same

Question 25

If V_S=12 V in Figure 6-3 , what is the value of V_EB if R₃ shorts?

A) -3 V
B) 8 V
C) 6 V
D) -8 V

Question 26

If a 10 resistor is placed in parallel with R₄ in Figure 6-3, how will V_R4 change?

A) V_R4 will remain the same.
B) V_R4 will decrease.
C) V_V4 will increase.
D) V_R4 will change to 4 volts.

Question 27

What is the resistance between points B and E in Figure 6-3 ?

A) 30
B) 20
C) 40
D) 10

Question 28

$$\text { Figure } 6 ^ { \prime } 2$$

-If R₁=50 $\mathrm { k } \Omega$ , R₂=10 $\mathrm { k } \Omega$ , R₃=10 $\mathrm { k } \Omega$ , R₄=50 $\mathrm { k } \Omega$ and R₅=10 $\mathrm { k } \Omega$ in Figure 6-2 , what is the value of RT?

A) 8.57 $\mathrm { k } \Omega$
B) 68.6 $\mathrm { k } \Omega$
C) 85.7 $\mathrm { k } \Omega$
D) 130 $\mathrm { k } \Omega$

Question 29

$$\text { Figure } 6 ^ { \prime } 2$$

-If R₁ shorts in Figure 6-2, V_R4______

A) equals V_R2
B) remains the same
C) increases
D) decreases

Question 30

$$\text { Figure } 6 ^ { \prime } 2$$

-If R₃ shorts in Figure 6-2, V_R5 ______

A) remains the same
B) decreases
C) increases

Question 31

$\text { Figure } 6 \text { '1 }$

-If R₁=10 $\mathrm { k } \Omega$ , R₂=15 $\mathrm { k } \Omega$ and R₃=50 $\mathrm { k } \Omega$ in Figure 6-1, RT equals_____

A) 11.5 $\mathrm { k } \Omega$
B) 10 $\mathrm { k } \Omega$
C) 21.5 $\mathrm { k } \Omega$
D) 9.5 $\mathrm { k } \Omega$

Question 32

If V_S=15 V and every resistor equals 2.2 in Figure 6-2, what is the value of IR₄ ?

A) 5.11 mA
B) 2.55 mA
C) 0.85 mA
D) 0.42 mA

Question 33

$\text { Figure } 6 \text { '1 }$

-If R₁=4.7 $\mathrm { k } \Omega$ , R₂=3.3 $\mathrm { k } \Omega$ , R₃=1 $\mathrm { k } \Omega$ and V_S=50 V in Figure 6-1,I_T equals_____

A) 75.7 mA
B) 9.15 mA
C) 12.1 mA
D) 8.8 mA

Question 34

If all of the resistors in Figure 6-2 are 4.7 , what is the value of R_T?

A) 12.5
B) 4.7
C) 18.8
D) 9.4

Question 35

If V_S=15 V and every resistor equals 2.2 in Figure 6-2, what is the value of I_R4 ?

A) 5.11 mA
B) 2.55 mA
C) 0.85 mA
D) 0.42 mA

Question 36

$$\text { Figure } 6 ^ { \prime } 2$$

-In Figure 6-2, R₃ and R₄ are connected in________

A) series with each other and R₅
B) series with each other
C) series with each other and R₁ and R₂
D) parallel with R₁ and R₂

Question 37

If V_S=22 V in Figure 6-3, what is the is the value of V_DB ?

A) -11 V
B) -22 V
C) 11 V
D) 5.5 V

Question 38

If every resistor in Figure 6-2 equals 2.2 , what is the value of R_T ?

A) 2.2
B) 5.5
C) 5.87
D) 4.4

Question 39

$$\text { Figure } 6 ^ { \prime } 2$$

-In Figure 6-2, R₃ and R₄ are connected in_____________

A) series with R₂
B) parallel with each other
C) series with each other and in parallel with R₅
D) series with R₅

Question 40

What is the resistance between points A and D in Figure 6-3?

A) 30
B) 10
C) 20
D) 40

Question 41

If the current is 1.2 mA in Figure 6-3 , what is the value of P_T ?

A) 576 mW
B) 5.76 mW
C) 0.576 mW
D) 57.6 mW

Question 42

If four parallel 10 resistors are connected in series with a single 20 resistor and one of the parallel resistors opens, how does the voltage across the other parallel resistors change?

A) It increases.
B) It remains the same.
C) It decreases.

Question 43

If a fifth 10 resistor is connected in series in Figure 6-3, how does V_R4 change?

A) V_R4 decreases.
B) V_R4 remains the same.
C) V_R4 increases to 10 V.
D) V_R4 increases.

Question 44

One Ohm's law formula can be used to solve for total power in:

A) series-parallel circuits.
B) series circuits.
C) parallel circuits.
D) all of these.

Question 45

If four parallel 10 $\mathrm { k } \Omega$ resistors are in series with a single 20 $\mathrm { k } \Omega$ resistor and one of the parallel resistors shorts, the voltage across the other parallel resistors________

A) decreases
B) remains the same
C) increases

Question 46

In solving series-parallel circuits using Ohmʹs law, first solve for:

A)the series resistance.
B)the parallel current.
C)the series current.
D)the parallel resistance.

Question 47

The parallel combination of a 330 resistor and a 470 resistor is connected in series with the parallel combination of four 1 $k \Omega$ resistors. If a 100 V source is connected across the circuit, then which resistor carries the most current?

A) 470
B) 330 $\Omega$
C) 1 $\mathrm { k } \Omega$

Question 48

In the series portion of series-parallel circuits, the total resistance is:

A)less than any one resistance.
B)equal to the largest resistance.
C)less than the largest resistance.
D)greater than the largest resistance.

Question 49

If the current is 12 mA in Figure 6-3, what is the value of V_EB ?

A) 240 V
B) -360 V
C) -240 V
D) 360 V

Question 50

If V_S=50 V in Figure 6-3 , what is the value of V_CA ?

A) 25 V
B) -25 V
C) -5 V
D) 5 V

Question 51

If V_R1=15 V in Figure 6-3 , what is the value of V_BD ?

A) -60 V
B) 60 V
C) 30 V
D) -30 V

Question 52

If a voltage divider consists of two 10 resistors, which one of these load resistors will change the output voltage the most?

A) 20
B) 1
C) 100
D) 10

Question 53

In solving series-parallel circuits using Ohmʹs law, first solve for:

A)ET.
B)IT.
C)RT.
D)any of these, it doesnʹt matter.

Question 54

Two series 1 resistors are connected in parallel with a 2.2 resistor. If the voltage across one of the 1 resistors is 6 V, what is the voltage across the 2.2 resistor?

A) 3 V
B) 12 V
C) 6 V
D) 13.2 V

Question 55

The parallel combination of a 330 resistor and a 470 $\Omega$
resistor is connected in series with the parallel combination of four 1 $\mathrm { k } \Omega$
resistors. If a 100 V source is connected across the circuit, then which resistor drops the most voltage?

A) 470
B) 330 $\Omega$
C) 1 $\mathrm { k } \Omega$

Question 56

In solving series-parallel circuits, the last and easiest to solve for is:

A)RT.
B)PT.
C)IT.
D)ET.

Question 57

If V_R3=17 V in Figure 6-3 , what is the value of P₁ ?

A) 2.89 W
B) 1.7 mW
C) 28.9 mW
D) 17 mW

Question 58

If V_S=40 V and R₃ opens in Figure 6-3 , what is the value of V_R3 ?

A) 40 V
B) 30 V
C) 0 V
D) 20 V
E) 10 V

Question 59

Power in a series-parallel resistor circuit is dissipated as:

A)current flow.
B)voltage loss.
C)resistance change.
D)heat.

Question 60

In a two-source circuit, one source alone produces 10 mA through a branch. If the other source alone produces 8 mA in the opposite direction through the same branch,W hat is the total current through the branch?

A)8 mA
B)18 mA
C)10 mA
D)2 mA

Question 61

According to the maximum power transfer theorem, maximum power is delivered to any load when the load resistance is:

A)larger than source resistance.
B)at least twice or more than the source resistance.
C)less than one-half of the source resistance.
D)exactly equal to the source resistance.

Question 62

Theveninʹs theorem provides a method for:

A)designing complex series-parallel circuits.
B)simplifying complex series-parallel circuits.
C)building complex series-parallel circuits.
D)all of these.

Question 63

$$\text { Figure 6'4 }$$

-Refer to Figure 6-4. If R₁ is changed to 500 $\Omega$ , the Thevenin resistance and voltage would be:

A) 595 and 3 V .
B) 1 k and 807 mV .
C) 595 and 807 mV .
D) 1 k and 3 V .

Question 64

The super position theorem provides a method for:

A)designing complex series-parallel circuits.
B)building complex series-parallel circuits.
C)analyzing complex series-parallel circuits.
D)all of these.

Question 65

Refer to Figure 6-5. Determine the amount of current flow through R₂ with the following component parameters. V_S1=10 V, V_S2=3 V, R₁=2 k, R₂=3k , and R₃=700

A) 5.3 mA
B) 1 mA
C) 1.37 mA
D) 0 A

Question 66

TheW heatstone bridge circuit isW idely used to measure:

A)precise resistances.
B)accurate currents.
C)exactVoltages.
D)all of these.

Question 67

In the parallel portion of series-parallel circuits, the total resistance is:

A)greater than the largest resistance.
B)less than any one resistance.
C)equal to the smallest resistance.
D)less than the smallest resistance.

Question 68

$$\text { Figure 6'4 }$$

-Refer to Figure 6-4. What approximate R₁ resistor value would it take to balance this bridge circuit?

A) 825
B) 680 $\Omega$
C) 560 $\Omega$
D) 330

Question 69

$$\text { Figure 6'4 }$$

-Refer to Figure 6-4.W ith circuit balanced there is:

A)Cannot be determined wIthout detailed analysis.
B)maximum current flow through the load.
C)no current flow through the total circuit.
D)no current through the load.

Question 70

The difference between a balanced and an unbalancedW heatstone bridge is measured by:

A)an ammeter.
B)a voltmeter.
C)a galvanometer.
D)an ohmmeter.

Question 71

Refer to Figure 6-5. If all of the resistors of this circuit are 5 and V_S1 and V_S2 are 10 V but opposing polarities, what would be the current flow through R₂ ?

A) 2.66 mA
B) 13.33 mA
C) 0 A
D) 1.33 mA