Question 1

Kirchhoff's rules: For the circuit shown in the figure, what is the current through resistor R1?

Accepted Answer

A)  0.071 A 
B)  0.13 A 
C)  0.029 A 
D)  0.016 A 
A)  0.071 A 
B)  0.13 A 
C)  0.029 A 
D)  0.016 A A

Question 2

Internal battery resistance: Two light bulbs, B1 and B2, are connected to a battery having appreciable internal resistance as shown in the figure. What happens to the brightness of bulb B1 when we close the switch S?

Accepted Answer

A)  The brightness of B1 increases permanently. 
B)  The brightness of B1 decreases permanently. 
C)  The brightness of B1 does not change. 
D)  The brightness of B1 increases temporarily but gradually decreases back to its original brightness. 
E)  The brightness of B1 decreases temporarily but gradually increases back to its original brightness. 
A)  The brightness of B1 increases permanently. 
B)  The brightness of B1 decreases permanently. 
C)  The brightness of B1 does not change. 
D)  The brightness of B1 increases temporarily but gradually decreases back to its original brightness. 
E)  The brightness of B1 decreases temporarily but gradually increases back to its original brightness. B

Question 3

Resistors in combination: Three resistors having resistances of 4.0 Ω, 6.0 Ω, and 10.0 Ω are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10.0-Ω resistor?

Accepted Answer

A)  0.59 A 
B)  2.7 A 
C)  6.4 A 
D)  11.2 A 
E)  16 A 
A)  0.59 A 
B)  2.7 A 
C)  6.4 A 
D)  11.2 A 
E)  16 A A

Question 4

RC circuits: For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. What is the charge on the capacitor when the current in the circuit is 33 μA?

Accepted Answer

A)  1100 µC 
B)  1000 µC 
C)  960 µC 
D)  890 µC 
E)  830 µC 
A)  1100 µC 
B)  1000 µC 
C)  960 µC 
D)  890 µC 
E)  830 µC

Question 5

RC circuits: A 6.0-μF capacitor is connected in series with a 5.0 MΩ resistor, and this combination is connected across an ideal 15-V DC battery. What is the current in the circuit when the capacitor has reached 20% of its maximum charge?

Accepted Answer

A)  6.5 μA 
B)  2.4 μA 
C)  1.3 μA 
D)  4.7 μA 
E)  9.1 μA 
A)  6.5 μA 
B)  2.4 μA 
C)  1.3 μA 
D)  4.7 μA 
E)  9.1 μA

Question 6

RC circuits: An RC circuit is connected across an ideal DC voltage source through an open switch. The switch is closed at time t = 0 s. Which of the following statements regarding the circuit are correct? (There may be more than one correct choice.)

Accepted Answer

A)  The capacitor charges to its maximum value in one time constant and the current is zero at that time. 
B)  The potential difference across the resistor and the potential difference across the capacitor are always equal. 
C)  The potential difference across the resistor is always greater than the potential difference across the capacitor. 
D)  The potential difference across the capacitor is always greater than the potential difference across the resistor 
E)  Once the capacitor is essentially fully charged, there is no appreciable current in the circuit. 
A)  The capacitor charges to its maximum value in one time constant and the current is zero at that time. 
B)  The potential difference across the resistor and the potential difference across the capacitor are always equal. 
C)  The potential difference across the resistor is always greater than the potential difference across the capacitor. 
D)  The potential difference across the capacitor is always greater than the potential difference across the resistor 
E)  Once the capacitor is essentially fully charged, there is no appreciable current in the circuit.

Question 7

Resistors in combination: For the circuit shown in the figure, the current in the 8-Ω resistor is 0.50 A, and all quantities are accurate to 2 significant figures. What is the current in the 2-Ω resistor?

Accepted Answer

A)  2.25 A 
B)  0.75 A 
C)  4.5 A 
D)  9.5 A 
E)  6.4 A 
A)  2.25 A 
B)  0.75 A 
C)  4.5 A 
D)  9.5 A 
E)  6.4 A

Question 8

Internal battery resistance: What is the maximum current that can be drawn from a 1.50-V battery with an internal resistance of 0.30 ohm?

Accepted Answer

A)  2.5 A 
B)  5.0 A 
C)  0.45 A 
D)  0.20 A 
E)  4.5 A 
A)  2.5 A 
B)  5.0 A 
C)  0.45 A 
D)  0.20 A 
E)  4.5 A

Question 9

Resistors in combination: Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to   .

Accepted Answer

A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω 
A)  4.0 Ω 
B)  24 Ω 
C)  8.0 Ω 
D)  16 Ω 
E)  40 Ω

Question 10

Resistors in combination: When four identical resistors are connected to an ideal battery of voltage V = 10 V as shown in the figure, the current I is equal to 0.20 A. What is the value of the resistance R of the resistors?

Accepted Answer

A)  20 Ω 
B)  40 Ω 
C)  30 Ω 
D)  50 Ω 
E)  10 Ω 
A)  20 Ω 
B)  40 Ω 
C)  30 Ω 
D)  50 Ω 
E)  10 Ω

Question 11

Resistors in combination: Three resistors are connected across an ideal 2.0-V DC battery as shown in the figure.
(a) At what rate does the battery supply energy to the resistors?
(b) At what rate is heat produced in the 6.0-Ω resistor?

Accepted Answer

(a) 3.0 W

Question 12

Meters: A galvanometer G has an internal resistance rg. An AMMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

Accepted Answer

A)  1 
B)  2 
C)  3 
D)  4 
E)  5 
A)  1 
B)  2 
C)  3 
D)  4 
E)  5

Question 13

Resistors in combination: A light bulb is connected in the circuit shown in the figure with the switch S open. All the connecting leads have no appreciable resistance and the battery has no internal resistance. When we close the switch, which statements below accurately describe the behavior of the circuit? (There may be more than one correct choice.)

Accepted Answer

A)  The brightness of the bulb will increase. 
B)  The brightness of the bulb will decrease. 
C)  The brightness of the bulb will not change. 
D)  The potential drop across R2 will decrease. 
E)  The potential drop across R2 will not change. 
A)  The brightness of the bulb will increase. 
B)  The brightness of the bulb will decrease. 
C)  The brightness of the bulb will not change. 
D)  The potential drop across R2 will decrease. 
E)  The potential drop across R2 will not change.

Question 14

Resistors in combination: Four resistors are connected across an 8-V DC battery as shown in the figure. The current through the 9-Ω resistor is closest to

Accepted Answer

A)  1 A. 
B)  0.7 A. 
C)  0.5 A. 
D)  0.9 A. 
E)  2 A. 
A)  1 A. 
B)  0.7 A. 
C)  0.5 A. 
D)  0.9 A. 
E)  2 A.

Question 15

RC circuits: A 4.0-μF capacitor that is initially uncharged is connected in series with a 4.0-kΩ resistor and an ideal 17.0-V battery. How much energy is stored in the capacitor 17 ms after the battery has been connected?

Accepted Answer

A)  250,000 nJ 
B)  15,000 kJ 
C)  25 µJ 
D)  890 nJ 
A)  250,000 nJ 
B)  15,000 kJ 
C)  25 µJ 
D)  890 nJ

Question 16

Kirchhoff's rules: For the circuit shown in the figure, all quantities are accurate to 2 significant figures. What is the value of the current I1?

Accepted Answer

A)  0.32 A 
B)  0.11 A 
C)  0.29 A 
D)  0.61 A 
E)  0.89 A 
A)  0.32 A 
B)  0.11 A 
C)  0.29 A 
D)  0.61 A 
E)  0.89 A

Question 17

Meters: A galvanometer coil having a resistance of 20 Ω and a full-scale deflection at 1.0 mA is connected in series with a 4980 Ω resistance to build a voltmeter. What is the maximum voltage that this voltmeter can read?

Accepted Answer

A)  3.0 V 
B)  1.0 V 
C)  50 V 
D)  5.0 V 
E)  10 V 
A)  3.0 V 
B)  1.0 V 
C)  50 V 
D)  5.0 V 
E)  10 V

Question 18

Resistors in combination: Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are accurate to 2 significant figures, what is the equivalent resistance between points A and B?

Accepted Answer

A)  4.0 Ω 
B)  6.0 Ω 
C)  8.0 Ω 
D)  10 Ω 
E)  12 Ω 
A)  4.0 Ω 
B)  6.0 Ω 
C)  8.0 Ω 
D)  10 Ω 
E)  12 Ω

Question 19

Resistors in combination: A resistor is made out of a long wire having a length L. Each end of the wire is attached to a terminal of a battery providing a constant voltage V0. 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 to the battery (the end of both wires attached to one terminal, and the other ends attached to the other terminal), what would be the total current flowing through the two wires?

Accepted Answer

A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4 
A)  4I 
B)  2I 
C)  I 
D)  I/2 
E)  I/4

Question 20

Resistors in combination: Two unknown resistors are connected together. When they are connected in series their equivalent resistance is 15 Ω. When they are connected in parallel, their equivalent resistance is 3.3 Ω. What are the resistances of these resistors?

Accepted Answer

The answer of Resistors in combination: Two unknown resistors are...

Exam 22: Gausss Law

Kirchhoff's rules: For the circuit shown in the figure, what is the current through resistor R1?

Internal battery resistance: Two light bulbs, B1 and B2, are connected to a battery having appreciable internal resistance as shown in the figure. What happens to the brightness of bulb B1 when we close the switch S?

Resistors in combination: Three resistors having resistances of 4.0 Ω, 6.0 Ω, and 10.0 Ω are connected in parallel. If the combination is connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10.0-Ω resistor?

RC circuits: For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. What is the charge on the capacitor when the current in the circuit is 33 μA?

RC circuits: A 6.0-μF capacitor is connected in series with a 5.0 MΩ resistor, and this combination is connected across an ideal 15-V DC battery. What is the current in the circuit when the capacitor has reached 20% of its maximum charge?

RC circuits: An RC circuit is connected across an ideal DC voltage source through an open switch. The switch is closed at time t = 0 s. Which of the following statements regarding the circuit are correct? (There may be more than one correct choice.)

Resistors in combination: For the circuit shown in the figure, the current in the 8-Ω resistor is 0.50 A, and all quantities are accurate to 2 significant figures. What is the current in the 2-Ω resistor?

Internal battery resistance: What is the maximum current that can be drawn from a 1.50-V battery with an internal resistance of 0.30 ohm?

Resistors in combination: Two identical resistors of resistance R = 24 Ω and a variable resistor Rx are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to .

Resistors in combination: When four identical resistors are connected to an ideal battery of voltage V = 10 V as shown in the figure, the current I is equal to 0.20 A. What is the value of the resistance R of the resistors?

Resistors in combination: Three resistors are connected across an ideal 2.0-V DC battery as shown in the figure. (a) At what rate does the battery supply energy to the resistors? (b) At what rate is heat produced in the 6.0-Ω resistor?

Meters: A galvanometer G has an internal resistance rg. An AMMETER is constructed by incorporating the galvanometer and an additional resistance Rs. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

Resistors in combination: Four resistors are connected across an 8-V DC battery as shown in the figure. The current through the 9-Ω resistor is closest to

RC circuits: A 4.0-μF capacitor that is initially uncharged is connected in series with a 4.0-kΩ resistor and an ideal 17.0-V battery. How much energy is stored in the capacitor 17 ms after the battery has been connected?

Kirchhoff's rules: For the circuit shown in the figure, all quantities are accurate to 2 significant figures. What is the value of the current I1?

Meters: A galvanometer coil having a resistance of 20 Ω and a full-scale deflection at 1.0 mA is connected in series with a 4980 Ω resistance to build a voltmeter. What is the maximum voltage that this voltmeter can read?

Resistors in combination: Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are accurate to 2 significant figures, what is the equivalent resistance between points A and B?

Resistors in combination: Two unknown resistors are connected together. When they are connected in series their equivalent resistance is 15 Ω. When they are connected in parallel, their equivalent resistance is 3.3 Ω. What are the resistances of these resistors?

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Filters

Kirchhoff's rules: For the circuit shown in the figure, what is the current through resistor R₁?

Internal battery resistance: Two light bulbs, B₁ and B₂, are connected to a battery having appreciable internal resistance as shown in the figure. What happens to the brightness of bulb B₁ when we close the switch S?

Resistors in combination: Two identical resistors of resistance R = 24 Ω and a variable resistor R_x are connected to an ideal battery of voltage V as shown in the figure. What should be the value of the variable resistance Rx to make the voltage across the two parallel resistors equal to .

Meters: A galvanometer G has an internal resistance r_g. An AMMETER is constructed by incorporating the galvanometer and an additional resistance R_s. Which one of the figures below is the most appropriate circuit diagram for the ammeter?

Kirchhoff's rules: For the circuit shown in the figure, all quantities are accurate to 2 significant figures. What is the value of the current I₁?