Question 1

For the circuit shown in the figure, write the Kirchhoff loop equation for the entire outside loop. Notice the directions of the currents!

Accepted Answer

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

Question 2

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal dc voltage source. If the current through this circuit is 0.50 A, what is the voltage of the voltage source?

Accepted Answer

A)  20 V 
B)  40 V 
C)  60 V 
D)  80 V 
E)  100 V 
A)  20 V 
B)  40 V 
C)  60 V 
D)  80 V 
E)  100 V

Question 3

As more resistors are added in series to a constant voltage source, the power supplied by the source

Accepted Answer

A)  increases. 
B)  decreases. 
C)  does not change. 
D)  increases for a time and then starts to decrease. 
A)  increases. 
B)  decreases. 
C)  does not change. 
D)  increases for a time and then starts to decrease.

Question 4

The resistors in the circuit shown in the figure each have a resistance of $700 \Omega$ What is the equivalent resistance between points a and b of this combination?

Accepted Answer

A)  700 Ω 
B)  2800 Ω 
C)  175 Ω 
D)  1400 Ω 
A)  700 Ω 
B)  2800 Ω 
C)  175 Ω 
D)  1400 Ω

Question 5

A 6.0-Ω and a 12-Ω resistor are connected in parallel across an ideal 36-V battery. What power is dissipated by the 6.0-Ω resistor?

Accepted Answer

A)  220 W 
B)  48 W 
C)  490 W 
D)  24 W 
A)  220 W 
B)  48 W 
C)  490 W 
D)  24 W

Question 6

Three light bulbs, A, B, and C, have electrical ratings as follows: Bulb A: 96.0 W, 1.70 A
Bulb B: 80.0 V, 205 W
Bulb C: 120 V, 0.400 A
These three bulbs are connected in a circuit across a 150-V voltage power source, as shown in the figure. Assume that the filament resistances of the light bulbs are constant and independent of operating conditions. What is the equivalent resistance of this combination of bulbs between the terminals of the power source?

Accepted Answer

A)  61.5 Ω 
B)  15.3 Ω 
C)  74.0 Ω 
D)  86.2 Ω 
E)  364 Ω 
A)  61.5 Ω 
B)  15.3 Ω 
C)  74.0 Ω 
D)  86.2 Ω 
E)  364 Ω

Question 7

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.)

Accepted Answer

A)  -3 A 
B)  3 A 
C)  7 A 
D)  -7 A 
E)  0 A 
A)  -3 A 
B)  3 A 
C)  7 A 
D)  -7 A 
E)  0 A

Question 8

Two capacitors are connected as shown in the figure, with C1 = 4.0 µF and C2 = 7.0 µF. If a voltage source V = 90 V is applied across the combination, find the potential difference across C1.

Accepted Answer

A)  57 V 
B)  36 V 
C)  60 V 
D)  9.0 V 
A)  57 V 
B)  36 V 
C)  60 V 
D)  9.0 V

Question 9

If 1.5 A flows through R2, what is the emf V of the ideal battery in the figure?

Accepted Answer

A)  150 V 
B)  75 V 
C)  60 V 
D)  30 V 
A)  150 V 
B)  75 V 
C)  60 V 
D)  30 V

Question 10

For the circuit shown in the figure, C = 13 µF and R = 7.6 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 40 s after closing the switch?

Accepted Answer

A)  3300 µC 
B)  3100 µC 
C)  2900 µC 
D)  2700 µC 
E)  2500 µC 
A)  3300 µC 
B)  3100 µC 
C)  2900 µC 
D)  2700 µC 
E)  2500 µC

Question 11

Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?

Accepted Answer

A)  12 μF 
B)  4.0 μC 
C)  7.1 μF 
D)  1.7 μF 
E)  8.0 μF 
A)  12 μF 
B)  4.0 μC 
C)  7.1 μF 
D)  1.7 μF 
E)  8.0 μF

Question 12

An uncharged capacitor is connected in series with a resistor, a dc battery, and an open switch. At time t = 0 s, the switch is closed. Which of the graphs below best describes the potential difference V across the capacitor as a function of time t?

Accepted Answer

A)  
  
B) 
  
C) 
  
D) 
  
E)  
  
A)  
  
B) 
  
C) 
  
D) 
  
E)

Question 13

If V = 40 V and the battery is ideal, what is the potential difference across R1 in the figure?

Accepted Answer

A)  6.7 V 
B)  8.0 V 
C)  10 V 
D)  20 V 
A)  6.7 V 
B)  8.0 V 
C)  10 V 
D)  20 V

Question 14

A 9.00-µF and a 12.0-µF capacitor are connected together, and this combination is connected across a 25.0-V potential difference. How much electric energy is stored in the combination if they are connected (a) in parallel or (b) in series?

Accepted Answer

(a) 6.56 m

Question 15

You obtain a 100-W light bulb and a 50-W light bulb. Instead of connecting them in the normal way, you devise a circuit that places them in series across normal household voltage. If each one is an incandescent bulb of fixed resistance, which statement about these bulbs is correct?

Accepted Answer

A)  Both bulbs glow with the same brightness, but less than their normal brightness. 
B)  Both bulbs glow with the same brightness, but more than their normal brightness. 
C)  The 100-W bulb glows brighter than the 50-W bulb. 
D)  The 50-W bulb glows more brightly than the 100-W bulb. 
A)  Both bulbs glow with the same brightness, but less than their normal brightness. 
B)  Both bulbs glow with the same brightness, but more than their normal brightness. 
C)  The 100-W bulb glows brighter than the 50-W bulb. 
D)  The 50-W bulb glows more brightly than the 100-W bulb.

Question 16

You have three capacitors with capacitances of 4.00 μF, 7.00 μF, and 9.00 μF. What is the equivalent capacitance if they are connected (a) in series and (b) in parallel?

Accepted Answer

(a) 1.98 µ

Question 17

Three resistors of resistances 4.0 Ω, 6.0 Ω, and 10 Ω are connected in parallel. If this combination is now connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10-Ω resistor?

Accepted Answer

A)  0.59 A 
B)  2.7 A 
C)  11 A 
D)  16 A 
A)  0.59 A 
B)  2.7 A 
C)  11 A 
D)  16 A

Question 18

A 2.0-μF capacitor is charged to 12 V and then discharged through a 4.0-MΩ resistor. How long will it take for the voltage across the capacitor to drop to 3.0 V?

Accepted Answer

A)  8.0 s 
B)  11 s 
C)  22 s 
D)  24 s 
A)  8.0 s 
B)  11 s 
C)  22 s 
D)  24 s

Question 19

Four unequal resistors are connected in series with each other. Which one of the following statements is correct about this combination?

Accepted Answer

A)  The equivalent resistance is equal to that of any one of the resistors. 
B)  The equivalent resistance is equal to average of the four resistances. 
C)  The equivalent resistance is less than that of the smallest resistor. 
D)  The equivalent resistance is less than that of the largest resistor. 
E)  The equivalent resistance is more than the largest resistance. 
A)  The equivalent resistance is equal to that of any one of the resistors. 
B)  The equivalent resistance is equal to average of the four resistances. 
C)  The equivalent resistance is less than that of the smallest resistor. 
D)  The equivalent resistance is less than that of the largest resistor. 
E)  The equivalent resistance is more than the largest resistance.

Question 20

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

A)  0.25 A 
B)  0.50 A 
C)  0.75 A 
D)  1.0 A 
A)  0.25 A 
B)  0.50 A 
C)  0.75 A 
D)  1.0 A

Exam 23: Circuits

For the circuit shown in the figure, write the Kirchhoff loop equation for the entire outside loop. Notice the directions of the currents!

Four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω are connected in series across an ideal dc voltage source. If the current through this circuit is 0.50 A, what is the voltage of the voltage source?

As more resistors are added in series to a constant voltage source, the power supplied by the source

The resistors in the circuit shown in the figure each have a resistance of 700Ω700 \Omega700Ω What is the equivalent resistance between points a and b of this combination?

A 6.0-Ω and a 12-Ω resistor are connected in parallel across an ideal 36-V battery. What power is dissipated by the 6.0-Ω resistor?

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.)

Two capacitors are connected as shown in the figure, with C1 = 4.0 µF and C2 = 7.0 µF. If a voltage source V = 90 V is applied across the combination, find the potential difference across C1.

If 1.5 A flows through R2, what is the emf V of the ideal battery in the figure?

For the circuit shown in the figure, C = 13 µF and R = 7.6 MΩ. Initially the switch S is open with the capacitor charged to a voltage of 80 V. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 40 s after closing the switch?

Three capacitors are connected as shown in the figure. What is the equivalent capacitance between points A and B?

An uncharged capacitor is connected in series with a resistor, a dc battery, and an open switch. At time t = 0 s, the switch is closed. Which of the graphs below best describes the potential difference V across the capacitor as a function of time t?

If V = 40 V and the battery is ideal, what is the potential difference across R1 in the figure?

A 9.00-µF and a 12.0-µF capacitor are connected together, and this combination is connected across a 25.0-V potential difference. How much electric energy is stored in the combination if they are connected (a) in parallel or (b) in series?

You obtain a 100-W light bulb and a 50-W light bulb. Instead of connecting them in the normal way, you devise a circuit that places them in series across normal household voltage. If each one is an incandescent bulb of fixed resistance, which statement about these bulbs is correct?

You have three capacitors with capacitances of 4.00 μF, 7.00 μF, and 9.00 μF. What is the equivalent capacitance if they are connected (a) in series and (b) in parallel?

Three resistors of resistances 4.0 Ω, 6.0 Ω, and 10 Ω are connected in parallel. If this combination is now connected in series with an ideal 12-V battery and a 2.0-Ω resistor, what is the current through the 10-Ω resistor?

A 2.0-μF capacitor is charged to 12 V and then discharged through a 4.0-MΩ resistor. How long will it take for the voltage across the capacitor to drop to 3.0 V?

Four unequal resistors are connected in series with each other. Which one of the following statements is correct about this combination?

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?

Representing Motion

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Forces and Newtons Laws of Motion

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Magnetic Fields and Forces

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Relativity

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Filters

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.)

Two capacitors are connected as shown in the figure, with C₁ = 4.0 µF and C₂ = 7.0 µF. If a voltage source V = 90 V is applied across the combination, find the potential difference across C₁.

If 1.5 A flows through R₂, what is the emf V of the ideal battery in the figure?

If V = 40 V and the battery is ideal, what is the potential difference across R₁ in the figure?