Question 1

Determine the current in the 8.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.

Accepted Answer

A)  0.28 A 
B)  1.3 A 
C)  1.6 A 
D)  2.1 A 
A)  0.28 A 
B)  1.3 A 
C)  1.6 A 
D)  2.1 A

Question 2

A 5-µF, a 7-µF, and an unknown capacitor CX are connected in series between points a and b. What do you know about the equivalent capacitance Cab between a and b? (There could be more than one correct choice.)

Accepted Answer

A)  Cab > 12 µF 
B)  5 µF ab ab ab ab X 
A)  Cab > 12 µF 
B)  5 µF ab ab ab ab X

Question 3

When two or more different capacitors are connected in series across a potential source, which of the following statements must be true? (There could be more than one correct choice.)

Accepted Answer

A)  The total voltage across the combination is the algebraic sum of the voltages across the individual capacitors. 
B)  Each capacitor carries the same amount of charge. 
C)  The equivalent capacitance of the combination is less than the capacitance of any of the capacitors. 
D)  The potential difference across each capacitor is the same. 
E)  The capacitor with the largest capacitance has the most charge. 
A)  The total voltage across the combination is the algebraic sum of the voltages across the individual capacitors. 
B)  Each capacitor carries the same amount of charge. 
C)  The equivalent capacitance of the combination is less than the capacitance of any of the capacitors. 
D)  The potential difference across each capacitor is the same. 
E)  The capacitor with the largest capacitance has the most charge.

Question 4

A circuit contains a 2.0-MΩ resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25% of its maximum charge in 1.5 s. What is its capacitance?

Accepted Answer

The answer of A circuit contains a 2.0-MΩ resistor in...

Question 5

A 8.0-μF uncharged capacitor is connected in series with a 6.0-kΩ resistor, an ideal 20-V dc source, and an open switch. If the switch is closed at time t = 0.0 s, what is the charge on the capacitor at t = 9.0 ms?

Accepted Answer

A)  0 C 
B)  37% of the minimum charge 
C)  17% of the maximum charge 
D)  68% of the minimum charge 
E)  96% of the maximum charge 
A)  0 C 
B)  37% of the minimum charge 
C)  17% of the maximum charge 
D)  68% of the minimum charge 
E)  96% of the maximum charge

Question 6

What different resistances can be obtained by using two 2.0-Ω resistors and one 4.0-Ω resistor? You must use all three of them in each possible combination.

Accepted Answer

0.80 Ω, 1.

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

A group of 1.0-μF, 2.0-μF, and 3.0-μF capacitors is connected in parallel across a 24-V potential difference (a battery). How much energy is stored in this three-capacitor combination when the capacitors are fully charged?

Accepted Answer

A)  1.7 mJ 
B)  2.1 mJ 
C)  4.8 mJ 
D)  7.1 mJ 
A)  1.7 mJ 
B)  2.1 mJ 
C)  4.8 mJ 
D)  7.1 mJ

Question 9

If V = 20 V and the battery is ideal, what is the current through R3 in the figure?

Accepted Answer

A)  0.050 A 
B)  0.20 A 
C)  1.0 A 
D)  4.0 A 
A)  0.050 A 
B)  0.20 A 
C)  1.0 A 
D)  4.0 A

Question 10

A resistor is made out of a wire having a length L. When the ends of the wire are attached across the terminals of an ideal battery having a constant voltage V0 across its terminals, 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 across the terminals of the battery (the right ends of both wires attached to one terminal, and the left ends attached to the other terminal), how much current would the battery put out?

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 11

The network shown is assembled with uncharged capacitors X , Y, and Z, with 
CX=3.0 $\mu$F, CY=5.0$\mu$F and CZ=1.0 $\mu$F The switches S1 and S2 are initially open, and a potential difference Vab = 120 V is applied between points a and b. After the network is assembled, switch S1 is then closed, but switch S2 is kept open. What is the final potential difference across capacitor Z?

Accepted Answer

A)  100 V 
B)  600 V 
C)  55 V 
D)  38 V 
E)  29 V 
A)  100 V 
B)  600 V 
C)  55 V 
D)  38 V 
E)  29 V

Question 12

When two or more different capacitors are connected in parallel across a potential source (battery), which of the following statements must be true? (There could be more than one correct choice.)

Accepted Answer

A)  The potential difference across each capacitor is the same. 
B)  Each capacitor carries the same amount of charge. 
C)  The equivalent capacitance of the combination is less than the capacitance of any one of the capacitors. 
D)  The capacitor with the largest capacitance has the largest potential difference across it. 
E)  The capacitor with the largest capacitance has the most charge. 
A)  The potential difference across each capacitor is the same. 
B)  Each capacitor carries the same amount of charge. 
C)  The equivalent capacitance of the combination is less than the capacitance of any one of the capacitors. 
D)  The capacitor with the largest capacitance has the largest potential difference across it. 
E)  The capacitor with the largest capacitance has the most charge.

Question 13

The capacitor shown in the circuit in the figure is initially uncharged when the switch S is suddenly closed, and the battery is ideal. After one time constant has gone by, find (a) the current through the resistor and (b) the charge on the capacitor. Assume that the numbers shown are all accurate to two significant figures.

Accepted Answer

(a) 0.74 A

Question 14

A 4.0-Ω resistor is connected to a 12-Ω resistor and this combination is connected to an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the value of voltage V?

Accepted Answer

A)  2.0 V 
B)  3.0 V 
C)  6.0 V 
D)  1.5 V 
E)  8.0 V 
A)  2.0 V 
B)  3.0 V 
C)  6.0 V 
D)  1.5 V 
E)  8.0 V

Question 15

A 4.0-µF capacitor and an 8.0-µF capacitor are connected together. What is the equivalent capacitance of the combination if they are connected (a) in series or (b) in parallel?

Accepted Answer

(a) 2.7 µF

Question 16

For the circuit shown in the figure, write the Kirchhoff current equation for the node labeled A. Notice the directions of the currents!

Accepted Answer

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

Question 17

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 μF 
B)  2.5 μF 
C)  7.5 μF 
D)  3.3 μF 
A)  30 μF 
B)  2.5 μF 
C)  7.5 μF 
D)  3.3 μF

Exam 23: Circuits

Determine the current in the 8.0-Ω resistor for the circuit shown in the figure. Assume that the batteries are ideal and that all numbers are accurate to two significant figures.

A 5-µF, a 7-µF, and an unknown capacitor CX are connected in series between points a and b. What do you know about the equivalent capacitance Cab between a and b? (There could be more than one correct choice.)

When two or more different capacitors are connected in series across a potential source, which of the following statements must be true? (There could be more than one correct choice.)

A circuit contains a 2.0-MΩ resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25% of its maximum charge in 1.5 s. What is its capacitance?

A 8.0-μF uncharged capacitor is connected in series with a 6.0-kΩ resistor, an ideal 20-V dc source, and an open switch. If the switch is closed at time t = 0.0 s, what is the charge on the capacitor at t = 9.0 ms?

What different resistances can be obtained by using two 2.0-Ω resistors and one 4.0-Ω resistor? You must use all three of them in each possible combination.

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

A group of 1.0-μF, 2.0-μF, and 3.0-μF capacitors is connected in parallel across a 24-V potential difference (a battery). How much energy is stored in this three-capacitor combination when the capacitors are fully charged?

If V = 20 V and the battery is ideal, what is the current through R3 in the figure?

When two or more different capacitors are connected in parallel across a potential source (battery), which of the following statements must be true? (There could be more than one correct choice.)

A 4.0-Ω resistor is connected to a 12-Ω resistor and this combination is connected to an ideal dc power supply with voltage V as shown in the figure. If the total current in this circuit is I = 2.0 A, what is the value of voltage V?

A 4.0-µF capacitor and an 8.0-µF capacitor are connected together. What is the equivalent capacitance of the combination if they are connected (a) in series or (b) in parallel?

For the circuit shown in the figure, write the Kirchhoff current equation for the node labeled A. Notice the directions of the currents!

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?

Representing Motion

Motion in One Dimension

Vectors and Motion in Two Dimensions

Forces and Newtons Laws of Motion

Applying Newtons Laws

Gravity

Rotational Motion

Equilibrium Ad Elasticity

Momentum

Energy and Work

Using Energy

Thermal Properties of Matter

Fluids

Oscillations

Traveling Waves and Sound

Superposition and Standing Waves

Wave Optics

Ray Optics

Optical Instruments

Electric Fields and Forces

Electric Potential

Current and Resistance

Magnetic Fields and Forces

EM Induction and Em Waves

AC Electricity

Relativity

Quantum Physics

Atoms and Molecules

Nuclear Physics

Filters

A 5-µF, a 7-µF, and an unknown capacitor C_X are connected in series between points a and b. What do you know about the equivalent capacitance C_ab between a and b? (There could be more than one correct choice.)

If V = 20 V and the battery is ideal, what is the current through R₃ in the figure?