Question 1

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 2

If emf of the ideal battery is V = 4.0 V, what is the current through R6 for the circuit shown in the figure?

Accepted Answer

A) 0.0077 A 
B) 0.017 A 
C) 0.040 A 
D) 4.0 A 
A) 0.0077 A 
B) 0.017 A 
C) 0.040 A 
D) 4.0 A

Question 3

A potential difference of V = 100 V is applied across two capacitors in series, as shown in the figure. If $C _ { 1 }$ = $10.0 \mu \mathrm { F }$ and the voltage drop across it is 75 V, what is the capacitance of C2?

Accepted Answer

A) 30 ?F 
B) 2.5 ?F 
C) 7.5 ?F 
D) 3.3 ?F 
A) 30 ?F 
B) 2.5 ?F 
C) 7.5 ?F 
D) 3.3 ?F

Question 4

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

A) -4 V 
B) 4 V 
C) 44 V 
D) 52 V 
E) -52 V 
A) -4 V 
B) 4 V 
C) 44 V 
D) 52 V 
E) -52 V

Question 5

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 6

Two resistors having resistances of 5.0 Ω and 9.0 Ω are connected in parallel. A 4.0-Ω resistor is then connected in series with the parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through the 9.0-Ω resistor?

Accepted Answer

A) 0.35 A 
B) 0.53 A 
C) 0.83 A 
D) 0.30 A 
E) 0.67 A 
A) 0.35 A 
B) 0.53 A 
C) 0.83 A 
D) 0.30 A 
E) 0.67 A

Question 7

What is the equivalent resistance in the circuit shown in the figure?

Accepted Answer

A) 80 Ω 
B) 55 Ω 
C) 50 Ω 
D) 35 Ω 
A) 80 Ω 
B) 55 Ω 
C) 50 Ω 
D) 35 Ω

Question 8

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

A) 0.40 A 
B) 0.050 A 
C) 0.83 A 
D) 0.056 A 
A) 0.40 A 
B) 0.050 A 
C) 0.83 A 
D) 0.056 A

Question 9

A number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?

Accepted Answer

A) 4 Ω 
B) 6 Ω 
C) 8 Ω 
D) 10 Ω 
E) 12 Ω 
A) 4 Ω 
B) 6 Ω 
C) 8 Ω 
D) 10 Ω 
E) 12 Ω

Question 10

A 2.0-Ω resistor is in series with a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What is the equivalent resistance of this system?

Accepted Answer

A) 24 Ω 
B) 4.0 Ω 
C) 1.8 Ω 
D) 2.7 Ω 
A) 24 Ω 
B) 4.0 Ω 
C) 1.8 Ω 
D) 2.7 Ω

Question 11

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

A) +3 V 
B) +19 V 
C) -3 V 
D) -10 V 
E) -19 V 
A) +3 V 
B) +19 V 
C) -3 V 
D) -10 V 
E) -19 V

Question 12

The lamps in a string of decorative lights are connected in parallel across a constant-voltage power source. What happens if one lamp burns out? (Assume negligible resistance in the wires leading to the lamps.)

Accepted Answer

A) The brightness of the lamps will not change appreciably. 
B) The other lamps get brighter equally. 
C) The other lamps get brighter, but some get brighter than others. 
D) The other lamps get dimmer equally. 
E) The other lamps get dimmer, but some get dimmer than others. 
A) The brightness of the lamps will not change appreciably. 
B) The other lamps get brighter equally. 
C) The other lamps get brighter, but some get brighter than others. 
D) The other lamps get dimmer equally. 
E) The other lamps get dimmer, but some get dimmer than others.

Question 13

A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in series with the first one, the time constant of the new RC circuit will be

Accepted Answer

A) the same as before. 
B) larger than before. 
C) smaller than before. 
D) variable. 
A) the same as before. 
B) larger than before. 
C) smaller than before. 
D) variable.

Question 14

When different resistors are connected in parallel across an ideal battery, we can be certain that

Accepted Answer

A) the same current flows in each one. 
B) the potential difference across each is the same. 
C) the power dissipated in each is the same. 
D) their equivalent resistance is greater than the resistance of any one of the individual resistances. 
E) their equivalent resistance is equal to the average of the individual resistances. 
A) the same current flows in each one. 
B) the potential difference across each is the same. 
C) the power dissipated in each is the same. 
D) their equivalent resistance is greater than the resistance of any one of the individual resistances. 
E) their equivalent resistance is equal to the average of the individual resistances.

Question 15

A 5.0-?F, a 14-?F, and a $21 - \mu F$ capacitor are connected in parallel. How much capacitance would a single capacitor need to have to replace the three capacitors?

Accepted Answer

A) 40 ?F 
B)  $21 \mu \mathrm { F }$ 
C) 5.0 ?F 
D) 14 ?F 
A) 40 ?F 
B)  $21 \mu \mathrm { F }$ 
C) 5.0 ?F 
D) 14 ?F

Question 16

For the circuit shown in the figure, calculate the emf's ?1 and ?3, assuming that the batteries are ideal. Note that two currents are shown.

Accepted Answer

Question 17

A 5.0-?F and a 12.0-?F capacitor are connected in series, and the series arrangement is connected in parallel to a $29.0 - \mu F$ capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?

Accepted Answer

A) 33 ?F 
B) 13 ?F 
C) 16 ?F 
D) 38 ?F 
A) 33 ?F 
B) 13 ?F 
C) 16 ?F 
D) 38 ?F

Question 18

A 4.0-Ω resistor is connected with a 12-Ω resistor and this combination is connected across an ideal dc power supply with V = 6.0 V, as shown in the figure. When a total current I flows from the power supply, what is the current through the 12-Ω resistor?

Accepted Answer

A) 1.5 A 
B) 2.0 A 
C) 2.5 A 
D) 3.0 A 
E) 0.50 A 
A) 1.5 A 
B) 2.0 A 
C) 2.5 A 
D) 3.0 A 
E) 0.50 A

Question 19

Three 2.0-Ω resistors are connected to form the sides of an equilateral triangle ABC as shown in the figure. What is the equivalent resistance between any two points, AB, BC, or AC, of this circuit?

Accepted Answer

A) 2.0 Ω 
B) 6.0 Ω 
C) 4.3 Ω 
D) 3.3 Ω 
E) 1.3 Ω 
A) 2.0 Ω 
B) 6.0 Ω 
C) 4.3 Ω 
D) 3.3 Ω 
E) 1.3 Ω

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

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

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

If emf of the ideal battery is V = 4.0 V, what is the current through R6 for the circuit shown in the figure?

A potential difference of V = 100 V is applied across two capacitors in series, as shown in the figure. If C1C _ { 1 }C1​ = 10.0μF10.0 \mu \mathrm { F }10.0μF and the voltage drop across it is 75 V, what is the capacitance of C2?

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.)

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?

Two resistors having resistances of 5.0 Ω and 9.0 Ω are connected in parallel. A 4.0-Ω resistor is then connected in series with the parallel combination. An ideal 6.0-V battery is then connected across the series-parallel combination. What is the current through the 9.0-Ω resistor?

What is the equivalent resistance in the circuit shown in the figure?

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 number of resistors are connected across points A and B as shown in the figure. What is the equivalent resistance between points A and B?

A 2.0-Ω resistor is in series with a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What is the equivalent resistance of this system?

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.)

The lamps in a string of decorative lights are connected in parallel across a constant-voltage power source. What happens if one lamp burns out? (Assume negligible resistance in the wires leading to the lamps.)

A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in series with the first one, the time constant of the new RC circuit will be

When different resistors are connected in parallel across an ideal battery, we can be certain that

A 5.0-?F, a 14-?F, and a 21−μF21 - \mu F21−μF capacitor are connected in parallel. How much capacitance would a single capacitor need to have to replace the three capacitors?

For the circuit shown in the figure, calculate the emf's ?1 and ?3, assuming that the batteries are ideal. Note that two currents are shown.

A 5.0-?F and a 12.0-?F capacitor are connected in series, and the series arrangement is connected in parallel to a 29.0−μF29.0 - \mu F29.0−μF capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?

A 4.0-Ω resistor is connected with a 12-Ω resistor and this combination is connected across an ideal dc power supply with V = 6.0 V, as shown in the figure. When a total current I flows from the power supply, what is the current through the 12-Ω resistor?

Three 2.0-Ω resistors are connected to form the sides of an equilateral triangle ABC as shown in the figure. What is the equivalent resistance between any two points, AB, BC, or AC, of this circuit?

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

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Filters

If emf of the ideal battery is V = 4.0 V, what is the current through R₆ for the circuit shown in the figure?

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.)

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 5.0-?F, a 14-?F, and a $21 - \mu F$ capacitor are connected in parallel. How much capacitance would a single capacitor need to have to replace the three capacitors?

For the circuit shown in the figure, calculate the emf's ?₁ and ?₃, assuming that the batteries are ideal. Note that two currents are shown.

A 5.0-?F and a 12.0-?F capacitor are connected in series, and the series arrangement is connected in parallel to a $29.0 - \mu F$ capacitor. How much capacitance would a single capacitor need to replace this combination of three capacitors?