Question 1

In the circuit shown in the figure,R₁ = 10 Ω,R₂ = 12 Ω,R₃ = 20 Ω,V₁ = 1.0 V,V₂ = 7.0 V,and the batteries are both ideal.What is the current through R₁?

Accepted Answer

The answer of In the circuit shown in the figure,R₁...

Question 2

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?

Accepted Answer

The answer of For the circuit shown in the figure,both...

Question 3

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?

Accepted Answer

The answer of A 2.0-μF capacitor that is initially uncharged...

Question 4

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.

Accepted Answer

The answer of For the circuit shown in the figure,the...

Question 5

In the circuit shown in the figure,R₁ = R₂ = 90.0 Ω,R₃ = R₄ = 20.0 Ω,V₁ = 7.0 V,V₂ = 8.0 V,and the batteries are both ideal.What current does the ammeter read?

Accepted Answer

The answer of In the circuit shown in the figure,R₁...

Question 6

A multiloop circuit is shown in the figure.Find the emf ε₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

Accepted Answer

The answer of A multiloop circuit is shown in the...

Question 7

An ideal 10.0-V dc is connected across a 
Resistor in series with an 
Resistor.What is the potential drop across the 
Resistor?

Accepted Answer

The answer of An ideal 10.0-V dc is connected across...

Question 8

A multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I₂ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

Accepted Answer

The answer of A multiloop circuit is shown in the...

Question 9

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.

Accepted Answer

The answer of Determine the current in the 4.0-Ω resistor...

Question 10

Determine the current in the 12-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.

Accepted Answer

The answer of Determine the current in the 12-Ω resistor...

Question 11

A multiloop circuit is shown in the figure.Find the current I₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

Accepted Answer

The answer of A multiloop circuit is shown in the...

Question 12

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?

Accepted Answer

First, we need to find the time constant:
τ = RC = (6.0 x 10^3 Ω)(8.0 x 10^-6 F) = 0.048 s
Then, we can use the formula for the charge on a capacitor in an RC circuit with a DC source:
Q(t) = Qmax(1 - e^(-t/τ))
At t = 9.0 ms = 0.009 s, we have:
Q(t) = Qmax(1 - e^(-0.009/0.048)) = 0.17Qmax
Therefore, the answer is (C), which says that the charge on the capacitor at t = 9.0 ms is 17% of the maximum charge.

Question 13

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.

Accepted Answer

The answer of For the circuit shown in the figure,what...

Question 14

In the circuit shown in the figure,R₁ = 60 Ω,R₂ = 120 Ω,R₃ = 180 Ω,V₁ = 3.0 V,V₂ = 6.0 V,and the batteries are both ideal.What is the current through R₁?

Accepted Answer

The answer of In the circuit shown in the figure,R₁...

Question 15

A multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

Accepted Answer

The answer of A multiloop circuit is shown in the...

Question 16

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.

Accepted Answer

The answer of Determine the current in the 8.0-Ω resistor...

Question 17

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. )

Accepted Answer

Applying Kirchhoff's voltage law, we can write:
-ε + 2V + 4V + 3V = 0
Simplifying, we get:
ε = -9V
However, since the question specifies that the batteries are ideal, we know that the emf ε must be positive (since it is in the same direction as the current). Therefore, the actual value of ε must be:
ε = 9V + 10V = 19V
Hence, the correct choice is B.

Question 18

A multiloop circuit is shown in the figure.Find the current I₂if the batteries are ideal.(It is not necessary to solve the entire circuit. )

Accepted Answer

The answer of A multiloop circuit is shown in the...

Question 19

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.

Accepted Answer

First, we can simplify the circuit using equivalent resistance:
1) The 6 Ω and 4 Ω resistors are in series, so their equivalent resistance is 6 Ω + 4 Ω = 10 Ω.
2) The 10 Ω resistor and the 7 Ω resistor are in parallel, so their equivalent resistance is:
1/((1/10 Ω)+(1/7 Ω)) = 3.82 Ω
Now we can use Ohm's Law to find the current in the circuit:
I = V/R = (12 V)/(3.82 Ω) = 3.14 A
Finally, we need to find the current flowing through the 7 Ω resistor. This can be done by realizing that the current entering Node B (where the 10 Ω and 7 Ω resistors meet) is equal to the current leaving Node B:
I_B = I_7Ω = V/R = (12 V)/(7 Ω) = 1.71 A
Therefore, the answer is C) 1.6 A (rounded to two significant figures).

Question 20

Determine the current in the 18-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.

Accepted Answer

The answer of Determine the current in the 18-Ω resistor...

Quiz 21: Electric Current and Direct-Current Circuits

In the circuit shown in the figure,R1 = 10 Ω,R2 = 12 Ω,R3 = 20 Ω,V1 = 1.0 V,V2 = 7.0 V,and the batteries are both ideal.What is the current through R1?

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 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?

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.

In the circuit shown in the figure,R1 = R2 = 90.0 Ω,R3 = R4 = 20.0 Ω,V1 = 7.0 V,V2 = 8.0 V,and the batteries are both ideal.What current does the ammeter read?

A multiloop circuit is shown in the figure.Find the emf ε1 if the batteries are ideal.(It is not necessary to solve the entire circuit. )

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 multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I2 if the batteries are ideal.(It is not necessary to solve the entire circuit. )

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.

Determine the current in the 12-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.

A multiloop circuit is shown in the figure.Find the current I1 if the batteries are ideal.(It is not necessary to solve the entire circuit. )

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?

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.

In the circuit shown in the figure,R1 = 60 Ω,R2 = 120 Ω,R3 = 180 Ω,V1 = 3.0 V,V2 = 6.0 V,and the batteries are both ideal.What is the current through R1?

A multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I1 if the batteries are ideal.(It is not necessary to solve the entire circuit. )

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 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 multiloop circuit is shown in the figure.Find the current I2 if the batteries are ideal.(It is not necessary to solve the entire circuit. )

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.

Determine the current in the 18-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.

In the circuit shown in the figure,R₁ = 10 Ω,R₂ = 12 Ω,R₃ = 20 Ω,V₁ = 1.0 V,V₂ = 7.0 V,and the batteries are both ideal.What is the current through R₁?

In the circuit shown in the figure,R₁ = R₂ = 90.0 Ω,R₃ = R₄ = 20.0 Ω,V₁ = 7.0 V,V₂ = 8.0 V,and the batteries are both ideal.What current does the ammeter read?

A multiloop circuit is shown in the figure.Find the emf ε₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

A multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I₂ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

A multiloop circuit is shown in the figure.Find the current I₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

In the circuit shown in the figure,R₁ = 60 Ω,R₂ = 120 Ω,R₃ = 180 Ω,V₁ = 3.0 V,V₂ = 6.0 V,and the batteries are both ideal.What is the current through R₁?

A multiloop circuit is shown in the figure,but some quantities are not labeled.Find the current I₁ if the batteries are ideal.(It is not necessary to solve the entire circuit. )

A multiloop circuit is shown in the figure.Find the current I₂if the batteries are ideal.(It is not necessary to solve the entire circuit. )