Question 1

Resistances of 2.0 $\Omega$, 4.0 $\Omega$, and 6.0 $\Omega$ and a 24-V emf device are all in series. The potential difference across the 2.0-$\Omega$ resistor is:

Accepted Answer

A)  4 V 
B)  8 V 
C)  12 V 
D)  24 V 
E)  48 V 
A)  4 V 
B)  8 V 
C)  12 V 
D)  24 V 
E)  48 V

Question 2

Four wires meet at a junction. The first carries 4A into the junction, the second carries 5A out of the junction, and the third carries 2A out of the junction. The fourth carries:

Accepted Answer

A)  7A out of the junction 
B)  7A into the junction 
C)  3A out of the junction 
D)  3A into the junction 
E)  1A into the junction 
A)  7A out of the junction 
B)  7A into the junction 
C)  3A out of the junction 
D)  3A into the junction 
E)  1A into the junction

Question 3

A certain voltmeter has an internal resistance of 10,000  $\Omega$ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

Accepted Answer

A)  100,000  $\Omega$ in series 
B)  100,000  $\Omega$ in parallel 
C)  1000  $\Omega$ in series 
D)  1000  $\Omega$ in parallel 
E)  90,000  $\Omega$ in series 
A)  100,000  $\Omega$ in series 
B)  100,000  $\Omega$ in parallel 
C)  1000  $\Omega$ in series 
D)  1000  $\Omega$ in parallel 
E)  90,000  $\Omega$ in series

Question 4

In the diagrams, all light bulbs are identical and all emf devices are identical. In which circuit (I, II, III, IV, V) will the bulbs be dimmest?

Accepted Answer

A)  I 
B)  II 
C)  III 
D)  IV 
E)  V 
A)  I 
B)  II 
C)  III 
D)  IV 
E)  V

Question 5

A series circuit consists of a battery with internal resistance r and an external resistor R. If these two resistances are equal (r = R) then the energy dissipated per unit time by the internal resistance r is:

Accepted Answer

A)  the same as by R 
B)  half that by R 
C)  twice that by R 
D)  one third that by R 
E)  unknown unless the emf is given 
A)  the same as by R 
B)  half that by R 
C)  twice that by R 
D)  one third that by R 
E)  unknown unless the emf is given

Question 6

A battery with an emf of 12 V and an internal resistance of 1 $\Omega$ is used to charge a battery with an emf of 10 V and an internal resistance of 1 $\Omega$. The current in the circuit is:

Accepted Answer

A)  1 A 
B)  2 A 
C)  4 A 
D)  11 A 
E)  22 A 
A)  1 A 
B)  2 A 
C)  4 A 
D)  11 A 
E)  22 A

Question 7

A battery has an emf of 9V and an internal resistance of 2 $\Omega$ . If the potential difference across its terminals is greater than 9V:

Accepted Answer

A)  it must be connected across a large external resistance 
B)  it must be connected across a small external resistance 
C)  the current must be out of the positive terminal 
D)  the current must be out of the negative terminal 
E)  the current must be zero 
A)  it must be connected across a large external resistance 
B)  it must be connected across a small external resistance 
C)  the current must be out of the positive terminal 
D)  the current must be out of the negative terminal 
E)  the current must be zero

Question 8

Four 20- $\Omega$ resistors are connected in series and the combination is connected to a 20-V emf device. The potential difference across any one of the resistors is:

Accepted Answer

A)  1 V 
B)  4 V 
C)  5 V 
D)  20 V 
E)  80 V 
A)  1 V 
B)  4 V 
C)  5 V 
D)  20 V 
E)  80 V

Question 9

"The sum of the currents into a junction equals the sum of the currents out of the junction" is a consequence of:

Accepted Answer

A)  Newton's third law 
B)  Ohm's law 
C)  Newton's second law 
D)  conservation of energy 
E)  conservation of charge 
A)  Newton's third law 
B)  Ohm's law 
C)  Newton's second law 
D)  conservation of energy 
E)  conservation of charge

Question 10

Four circuits have the form shown in the diagram. The capacitor is initially uncharged and the switch S is open.   The values of the emf $\varepsilon$, resistance R, and the capacitance C for each of the circuits are   Rank the circuits according to the time after switch S is closed for the capacitors to reach half their final charges, least to greatest.

Accepted Answer

A)  1, 2, 3, 4 
B)  4, 3, 2, 1 
C)  1, 3, 2, 4 
D)  4, 2, 1, 3 
E)  3, 1, 2, 4 
A)  1, 2, 3, 4 
B)  4, 3, 2, 1 
C)  1, 3, 2, 4 
D)  4, 2, 1, 3 
E)  3, 1, 2, 4

Question 11

The equivalent resistance between points 1 and 2 of the circuit shown is:

Accepted Answer

A)  3  $\Omega$ 
B)  4  $\Omega$ 
C)  5  $\Omega$ 
D)  6  $\Omega$ 
E)  7  $\Omega$ 
A)  3  $\Omega$ 
B)  4  $\Omega$ 
C)  5  $\Omega$ 
D)  6  $\Omega$ 
E)  7  $\Omega$

Question 12

In the diagram, the current in the 3- $\Omega$  resistor is 4 A. The potential difference between points 1 and 2 is:

Accepted Answer

A)  0.75 V 
B)  0.8 V 
C)  1.25 V 
D)  12 V 
E)  20 V 
A)  0.75 V 
B)  0.8 V 
C)  1.25 V 
D)  12 V 
E)  20 V

Question 13

The terminal potential difference of a battery is less greater than its emf:

Accepted Answer

A)  under all conditions 
B)  only when the battery is being charged 
C)  only when the battery is being discharged 
D)  only when there is no current in the battery 
E)  under no conditions 
A)  under all conditions 
B)  only when the battery is being charged 
C)  only when the battery is being discharged 
D)  only when there is no current in the battery 
E)  under no conditions

Question 14

The resistance of resistor 1 is twice the resistance of resistor 2. The two are connected in series and a potential difference is maintained across the combination. Then:

Accepted Answer

A)  the current in 1 is twice that in 2 
B)  the current in 1 is half that in 2 
C)  the potential difference across 1 is twice that across 2 
D)  the potential difference across 1 is half that across 2 
E)  none of the above are true 
A)  the current in 1 is twice that in 2 
B)  the current in 1 is half that in 2 
C)  the potential difference across 1 is twice that across 2 
D)  the potential difference across 1 is half that across 2 
E)  none of the above are true

Question 15

In the figure, voltmeter V1 reads 600 V, voltmeter V2 reads 580 V, and ammeter A reads 100 A. The power wasted in the transmission line connecting the power house to the consumer is:

Accepted Answer

A)  1 kW 
B)  2 kW 
C)  58 kW 
D)  59 kW 
E)  60 kW 
A)  1 kW 
B)  2 kW 
C)  58 kW 
D)  59 kW 
E)  60 kW

Question 16

A resistor with resistance R1 and a resistor with resistance R2 are connected in parrallel to an ideal battery with emf ε. The rate of thermal energy generation in the resistor with resistance R1 is:

Accepted Answer

A)  ε2/R1 
B)  ε2 R1/(R1 + R2)2 
C)  ε2 /(R1 + R2) 
D)  ε2/R2 
E)    
A)  ε2/R1 
B)  ε2 R1/(R1 + R2)2 
C)  ε2 /(R1 + R2) 
D)  ε2/R2 
E)

Question 17

Each of the resistors in the diagram is 12  $\Omega$. The resistance of the entire circuit is:

Accepted Answer

A)  5.76  $\Omega$ 
B)  25  $\Omega$ 
C)  48  $\Omega$ 
D)  120  $\Omega$ 
E)  none of these 
A)  5.76  $\Omega$ 
B)  25  $\Omega$ 
C)  48  $\Omega$ 
D)  120  $\Omega$ 
E)  none of these

Question 18

A battery is connected across a parallel combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

Accepted Answer

A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true 
A)  the potential difference across each resistor is V and the current in each resistor is i 
B)  the potential difference across each resistor is V/2 and the current in each resistor is i/2 
C)  the potential difference across each resistor is V and the current in each resistor is i/2 
D)  the potential difference across each resistor is V/2 and the current in each resistor is i 
E)  none of the above are true

Question 19

The time constant RC has units of:

Accepted Answer

A)  second/farad 
B)  second/ohm 
C)  1/second 
D)  second/watt 
E)  none of these 
A)  second/farad 
B)  second/ohm 
C)  1/second 
D)  second/watt 
E)  none of these

Question 20

A certain capacitor, in series with a 720-$\Omega$ resistor, is being charged. At the end of 10 ms its charge is half the final value. The capacitance is about:

Accepted Answer

A)  9.6 $\mu$F 
B)  14 $\mu$F 
C)  20 $\mu$F 
D)  7.2 F 
E)  10 F 
A)  9.6 $\mu$F 
B)  14 $\mu$F 
C)  20 $\mu$F 
D)  7.2 F 
E)  10 F

Exam 27: Circuits

Resistances of 2.0 Ω\OmegaΩ , 4.0 Ω\OmegaΩ , and 6.0 Ω\OmegaΩ and a 24-V emf device are all in series. The potential difference across the 2.0- Ω\OmegaΩ resistor is:

Four wires meet at a junction. The first carries 4A into the junction, the second carries 5A out of the junction, and the third carries 2A out of the junction. The fourth carries:

A certain voltmeter has an internal resistance of 10,000 Ω\OmegaΩ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

In the diagrams, all light bulbs are identical and all emf devices are identical. In which circuit (I, II, III, IV, V) will the bulbs be dimmest?

A series circuit consists of a battery with internal resistance r and an external resistor R. If these two resistances are equal (r = R) then the energy dissipated per unit time by the internal resistance r is:

A battery with an emf of 12 V and an internal resistance of 1 Ω\OmegaΩ is used to charge a battery with an emf of 10 V and an internal resistance of 1 Ω\OmegaΩ . The current in the circuit is:

A battery has an emf of 9V and an internal resistance of 2 Ω\OmegaΩ . If the potential difference across its terminals is greater than 9V:

Four 20- Ω\OmegaΩ resistors are connected in series and the combination is connected to a 20-V emf device. The potential difference across any one of the resistors is:

"The sum of the currents into a junction equals the sum of the currents out of the junction" is a consequence of:

The equivalent resistance between points 1 and 2 of the circuit shown is:

In the diagram, the current in the 3- Ω\OmegaΩ resistor is 4 A. The potential difference between points 1 and 2 is:

The terminal potential difference of a battery is less greater than its emf:

The resistance of resistor 1 is twice the resistance of resistor 2. The two are connected in series and a potential difference is maintained across the combination. Then:

In the figure, voltmeter V1 reads 600 V, voltmeter V2 reads 580 V, and ammeter A reads 100 A. The power wasted in the transmission line connecting the power house to the consumer is:

A resistor with resistance R1 and a resistor with resistance R2 are connected in parrallel to an ideal battery with emf ε. The rate of thermal energy generation in the resistor with resistance R1 is:

Each of the resistors in the diagram is 12 Ω\OmegaΩ . The resistance of the entire circuit is:

A battery is connected across a parallel combination of two identical resistors. If the potential difference across the terminals is V and the current in the battery is i, then:

The time constant RC has units of:

A certain capacitor, in series with a 720- Ω\OmegaΩ resistor, is being charged. At the end of 10 ms its charge is half the final value. The capacitance is about:

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Filters

Resistances of 2.0 $\Omega$ , 4.0 $\Omega$ , and 6.0 $\Omega$ and a 24-V emf device are all in series. The potential difference across the 2.0- $\Omega$ resistor is:

A certain voltmeter has an internal resistance of 10,000 $\Omega$ and a range from 0 to 100 V. To give it a range from 0 to 1000 V, one should connect:

A battery with an emf of 12 V and an internal resistance of 1 $\Omega$ is used to charge a battery with an emf of 10 V and an internal resistance of 1 $\Omega$ . The current in the circuit is:

A battery has an emf of 9V and an internal resistance of 2 $\Omega$ . If the potential difference across its terminals is greater than 9V:

Four 20- $\Omega$ resistors are connected in series and the combination is connected to a 20-V emf device. The potential difference across any one of the resistors is:

In the diagram, the current in the 3- $\Omega$ resistor is 4 A. The potential difference between points 1 and 2 is: $In the diagram, the current in the 3- \Omega resistor is 4 A. The potential difference between points 1 and 2 is:$

In the figure, voltmeter V₁ reads 600 V, voltmeter V₂ reads 580 V, and ammeter A reads 100 A. The power wasted in the transmission line connecting the power house to the consumer is:

Each of the resistors in the diagram is 12 $\Omega$ . The resistance of the entire circuit is: $Each of the resistors in the diagram is 12 \Omega . The resistance of the entire circuit is:$

A certain capacitor, in series with a 720- $\Omega$ resistor, is being charged. At the end of 10 ms its charge is half the final value. The capacitance is about: