Question 1

A battery is connected across a series 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 trueF) None of the above
G) A) and D)

Question 2

A portion of a circuit is shown, with the values of the currents given for some branches. What is the direction and value of the current i?

Accepted Answer

A)   ↓\downarrow↓ , 6A
B)   ↑\uparrow↑  , 6A
C)   ↓\downarrow↓ , 4A
D)    ↑\uparrow↑  , 4A
E)   ↓\downarrow↓ , 2A F) C) and D)
G) A) and B)

Question 3

In the circuit shown, the capacitor is initially uncharged. At time t = 0, switch S is closed. If  τ 	au τ  denotes the time constant, the approximate current through the 3  Ω\OmegaΩ   resistor when t =  τ 	au τ /10 is:

Accepted Answer

A)   0.38 A
B)   0.50 A
C)   0.75 A
D)   1.0 A
E)   1.5 A F) B) and D)
G) B) and E)

Question 4

A 3-  Ω\OmegaΩ  and a 1.5-  Ω\OmegaΩ resistor are wired in parallel and the combination is wired in series to a 4-  Ω\OmegaΩ  resistor and a 10-V emf device. The current in the 3-  Ω\OmegaΩ  resistor is:

Accepted Answer

A)   0.33 A
B)   0.67 A
C)   2.0 A
D)   3.3 A
E)   6.7 A F) D) and E)
G) B) and D)

Question 5

Suppose the current charging a capacitor is kept constant. Which graph below correctly gives the potential difference V across the capacitor as a function of time?

Accepted Answer

A)   I
B)   II
C)   III
D)   IV
E)   VF) C) and E)
G) C) and D)

Question 6

Two identical batteries, each with an emf of 18 V and an internal resistance of 1   Ω\OmegaΩ , are wired in parallel by connecting their positive terminals together and connecting their negative terminals together. The combination is then wired across a 4-  Ω\OmegaΩ  resistor. The current in each battery is:

Accepted Answer

A)   1.0 A
B)   2.0 A
C)   4.0 A
D)   3.6 A
E)   7.2 A F) B) and D)
G) A) and B)

Question 7

Two 110-V light bulbs, one "25 W" and the other "100 W", are connected in series to a 110 V source. Then:

Accepted Answer

A)   the current in the 100-W bulb is greater than that in the 25-W bulb
B)   the current in the 100-W bulb is less than that in the 25-W bulb
C)   both bulbs will light with equal brightness
D)   each bulb will have a potential difference of 55 V
E)   none of the aboveF) B) and E)
G) B) and D)

Question 8

The time constant RC has units of:

Accepted Answer

A)   second/farad
B)   second/ohm
C)   1/second
D)   second/watt
E)   none of theseF) A) and B)
G) A) and D)

Question 9

In the diagram R1 > R2 > R3. Rank the three resistors according to the current in them, least to greatest. 1 > R2 > R3. Rank the three resistors according to the current in them, least to greatest.   A)  1, 2, 3 B)  3, 2, 1 C)  1, 3, 2 D)  3, 1, 2 E)  All are the same" class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   1, 2, 3
B)   3, 2, 1
C)   1, 3, 2
D)   3, 1, 2
E)   All are the sameF) B) and C)
G) B) and E)

Question 10

A certain ammeter has an internal resistance of 1   Ω\OmegaΩ  and a range from 0 to 50 mA. To make its range from 0 to 5 A, use:

Accepted Answer

A)   a series resistance of 99   Ω\OmegaΩ 
B)   an extremely large (say 106  Ω\OmegaΩ )  series resistance
C)   a resistance of 99   Ω\OmegaΩ  in parallel
D)   a resistance of 1/99   Ω\OmegaΩ  in parallel
E)   a resistance of 1/1000   Ω\OmegaΩ  in parallel F) A) and B)
G) A) and D)

Question 11

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:

Accepted Answer

A)   1 A
B)   2 A
C)   4 A
D)   11 A
E)   22 A F) C) and D)
G) None of the above

Question 12

Nine identical wires, each of diameter d and length L, are connected in series. The combination has the same resistance as a single similar wire of length L but whose diameter is:

Accepted Answer

A)   3d
B)   9d
C)   d/3
D)   d/9
E)   d/81F) A) and D)
G) All of the above

Question 13

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 ε\varepsilonε , resistance and R, and capacitance C for each for the circuits are  Rank the circuits according to the current just after switch S is closed least to greatest.

Accepted Answer

A)   1, 2, 3, 4
B)   4, 3, 2, 1
C)   4, 2, 3, 1
D)   4, 2, 1, 3
E)   3, 1, 2, 4 F) A) and E)
G) A) and D)

Question 14

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

Accepted Answer

A)   3   Ω\OmegaΩ 
B)   4   Ω\OmegaΩ 
C)   5   Ω\OmegaΩ 
D)   6   Ω\OmegaΩ 
E)   7   Ω\OmegaΩF) A) and B)
G) A) and C)

Question 15

A 120-V power line is protected by a 15-A fuse. What is the maximum number of "120 V, 500 W" light bulbs that can be operated at full brightness from this line?

Accepted Answer

A)   1
B)   2
C)   3
D)   4
E)   5F) B) and E)
G) A) and E)

Question 16

In the capacitor discharge formula q = q0e-t/RC the symbol t represents:

Accepted Answer

A)   the time constant
B)   the time it takes for C to lose the fraction 1/e of its initial charge
C)   the time it takes for C to lose the fraction (1 - 1/e)  of its initial charge
D)   the time it takes for C to lose essentially all of its initial charge
E)   none of the aboveF) B) and E)
G) A) and C)

Question 17

In the circuit shown, both resistors have the same value R. Suppose switch S is initially closed. When it is then opened, the circuit has a time constant   τ 	au τ a Conversely, suppose S is initially open. When it is then closed, the circuit has a time constant   τ 	au τ b The ratio   τ 	au τ a/  τ 	au τ b is: a Conversely, suppose S is initially open. When it is then closed, the circuit has a time constant    	au  b The ratio    	au  a/   	au  b is:   A)  1 B)  2 C)  0.5 D)  0.667 E)  1.5 " class="answers-bank-image d-inline" rel="preload" >

Accepted Answer

A)   1
B)   2
C)   0.5
D)   0.667
E)   1.5 F) A) and C)
G) A) and E)

Question 18

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  ε\varepsilonε , 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 F) B) and D)
G) B) and C)

Question 19

Resistances of 2.0  Ω\OmegaΩ , 4.0   Ω\OmegaΩ , and 6.0   Ω\OmegaΩ and a 24-V battery are all in series. The current in the 2.0   Ω\OmegaΩ  resistor is:

Accepted Answer

A)   12 A
B)   4.0 A
C)   2.4 A
D)   2.0 A
E)   0.50 A F) A) and B)
G) C) and D)

Question 20

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)   VF) A) and D)
G) B) and C)

Exam 27: Circuits

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

Correct Answer
verified

A certain ammeter has an internal resistance of 1 $\Omega$ and a range from 0 to 50 mA. To make its range from 0 to 5 A, use:

Correct Answer
verified

In the diagram R₁ > R₂ > R₃. Rank the three resistors according to the current in them, least to greatest.

Correct Answer
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Two 110-V light bulbs, one "25 W" and the other "100 W", are connected in series to a 110 V source. Then:

Correct Answer
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Correct Answer
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Correct Answer
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Resistances of 2.0 $\Omega$ , 4.0 $\Omega$ , and 6.0 $\Omega$ and a 24-V battery are all in series. The current in the 2.0 $\Omega$ resistor is:

Correct Answer
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The time constant RC has units of:

Correct Answer
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Correct Answer
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Correct Answer
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A 120-V power line is protected by a 15-A fuse. What is the maximum number of "120 V, 500 W" light bulbs that can be operated at full brightness from this line?

Correct Answer
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Correct Answer
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Correct Answer
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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:

Correct Answer
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The equivalent resistance between points 1 and 2 of the circuit shown is: $The equivalent resistance between points 1 and 2 of the circuit shown is: A) 3 \Omega B) 4 \Omega C) 5 \Omega D) 6 \Omega E) 7 \Omega$

Correct Answer
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Suppose the current charging a capacitor is kept constant. Which graph below correctly gives the potential difference V across the capacitor as a function of time?

Correct Answer
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In the capacitor discharge formula q = q₀e^-^t^/^RC the symbol t represents:

Correct Answer
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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?

Correct Answer
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A 3- $\Omega$ and a 1.5- $\Omega$ resistor are wired in parallel and the combination is wired in series to a 4- $\Omega$ resistor and a 10-V emf device. The current in the 3- $\Omega$ resistor is:

Correct Answer
verified

Nine identical wires, each of diameter d and length L, are connected in series. The combination has the same resistance as a single similar wire of length L but whose diameter is:

Correct Answer
verified

Exam 27: Circuits

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

Correct AnswerverifiedShow Answer

A certain ammeter has an internal resistance of 1 Ω\OmegaΩ and a range from 0 to 50 mA. To make its range from 0 to 5 A, use:

Correct AnswerverifiedShow Answer

In the diagram R1 > R2 > R3. Rank the three resistors according to the current in them, least to greatest.

Correct AnswerverifiedShow Answer

Two 110-V light bulbs, one "25 W" and the other "100 W", are connected in series to a 110 V source. Then:

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A portion of a circuit is shown, with the values of the currents given for some branches. What is the direction and value of the current i?

Correct AnswerverifiedShow Answer

Resistances of 2.0 Ω\OmegaΩ , 4.0 Ω\OmegaΩ , and 6.0 Ω\OmegaΩ and a 24-V battery are all in series. The current in the 2.0 Ω\OmegaΩ resistor is:

Correct AnswerverifiedShow Answer

The time constant RC has units of:

Correct AnswerverifiedShow Answer

In the circuit shown, the capacitor is initially uncharged. At time t = 0, switch S is closed. If τ \tau τ denotes the time constant, the approximate current through the 3 Ω\OmegaΩ resistor when t = τ \tau τ /10 is:

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

A 120-V power line is protected by a 15-A fuse. What is the maximum number of "120 V, 500 W" light bulbs that can be operated at full brightness from this line?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

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:

Correct AnswerverifiedShow Answer

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

Correct AnswerverifiedShow Answer

Suppose the current charging a capacitor is kept constant. Which graph below correctly gives the potential difference V across the capacitor as a function of time?

Correct AnswerverifiedShow Answer

In the capacitor discharge formula q = q0e-t/RC the symbol t represents:

Correct AnswerverifiedShow Answer

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?

Correct AnswerverifiedShow Answer

A 3- Ω\OmegaΩ and a 1.5- Ω\OmegaΩ resistor are wired in parallel and the combination is wired in series to a 4- Ω\OmegaΩ resistor and a 10-V emf device. The current in the 3- Ω\OmegaΩ resistor is:

Correct AnswerverifiedShow Answer

Nine identical wires, each of diameter d and length L, are connected in series. The combination has the same resistance as a single similar wire of length L but whose diameter is:

Correct AnswerverifiedShow Answer

Correct Answer
verified

A certain ammeter has an internal resistance of 1 $\Omega$ and a range from 0 to 50 mA. To make its range from 0 to 5 A, use:

Correct Answer
verified

In the diagram R₁ > R₂ > R₃. Rank the three resistors according to the current in them, least to greatest.

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Resistances of 2.0 $\Omega$ , 4.0 $\Omega$ , and 6.0 $\Omega$ and a 24-V battery are all in series. The current in the 2.0 $\Omega$ resistor is:

Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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Correct Answer
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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:

Correct Answer
verified

The equivalent resistance between points 1 and 2 of the circuit shown is: $The equivalent resistance between points 1 and 2 of the circuit shown is: A) 3 \Omega B) 4 \Omega C) 5 \Omega D) 6 \Omega E) 7 \Omega$

Correct Answer
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Correct Answer
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In the capacitor discharge formula q = q₀e^-^t^/^RC the symbol t represents:

Correct Answer
verified

Correct Answer
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A 3- $\Omega$ and a 1.5- $\Omega$ resistor are wired in parallel and the combination is wired in series to a 4- $\Omega$ resistor and a 10-V emf device. The current in the 3- $\Omega$ resistor is:

Correct Answer
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Correct Answer
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