Question 1

A $7.0 - \Omega$ resistor is connected across the terminals of a battery having an internal emf of $10 \mathrm {~V}$. If $0.50 - \mathrm { A }$ current flows, what is the internal resistance of the battery?

Accepted Answer

A)  $20 \Omega$ 
B)  $13 \Omega$ 
C)  $27.0 \Omega$ 
D)  $10.8 \Omega$

Question 2

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

Accepted Answer

A)  $50 \Omega$ 
B)  $55 \Omega$ 
C)  $80 \Omega$ 
D)  $35 \Omega$

Question 3

For the circuit shown in the figure, what is the power dissipated in the $2.0 - \Omega$ resistor? All the numbers shown are accurate to three significant figures.

Accepted Answer

A)  $8.00 \mathrm {~W}$ 
B)  $5.33 \mathrm {~W}$ 
C)  $6.67 \mathrm {~W}$ 
D)  $3.56 \mathrm {~W}$ 
E)  $2.67 \mathrm {~W}$

Question 4

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
Current I through the resistor as a function of time t?

Accepted Answer

A)   
B)  
C)  
D)  
E)

Question 5

You need an inductor that will store $20 \mathrm {~J}$ of energy when a $3.0$-A current flows through it. What should be its self-inductance?

Accepted Answer

A)  $90 \mathrm { H }$ 
B)  $60 \mathrm { H }$ 
C)  $4.4 \mathrm { H }$ 
D)  $3.7 \mathrm { H }$

Question 6

The potential applied to a $20 - \Omega$ resistor is $( 60 \mathrm {~V} ) \cos ( 33 t )$. What is the average power consumed in the resistor?

Accepted Answer

The answer of The potential applied to a \(20 -...

Question 7

What inductance must be put in series with a $100 - \mathrm { k } \Omega$ resistor at $1.0 - \mathrm { MHz }$ for a total impedance of $150 \mathrm { k } \Omega$ ?

Accepted Answer

A)  $18 \mathrm { mH }$ 
B)  $0.17 \mathrm { H }$ 
C)  $0.15 \mathrm { H }$ 
D)  $1.5 \mathrm { H }$

Question 8

The magnetic flux through a coil changes steadily from $4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ to $5.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ in $0.10 \mathrm {~s}$. What emf is induced in this coil?

Accepted Answer

A)  $1.0 \times 10 ^ { - 4 } \mathrm {~V}$ 
B)  $5.0 \times 10 ^ { - 4 } \mathrm {~V}$ 
C)  $4.0 \times 10^{ - 4} \mathrm {~V}$ 
D)  None of the given answers are correct.

Question 9

What size capacitor should be placed in series with a $30 - \Omega$ resistor and a $40 - \mathrm { mH }$ inductive coil if the resonant frequency of the circuit is to be $1.0 \mathrm { kHz }$ ?

Accepted Answer

A)  $3.3 \mu \mathrm { F }$ 
B)  $2.0 \mu \mathrm { F }$ 
C)  $0.63 \mu \mathrm { F }$ 
D)  $6.0 \mu \mathrm { F }$ 
E)  $4.5 \mu \mathrm { F }$

Question 10

The phase angle of an $R L C$ series ac circuit with an inductive reactance of $200 \Omega$ and a capacitive reactance of $100 \Omega$ is $40.0 ^ { \circ }$. What is the resistance of the resistor in this circuit?

Accepted Answer

A)  $200 \Omega$ 
B)  $100 \Omega$ 
C)  $119 \Omega$ 
D)  $156 \Omega$ 
E)  $265 \Omega$

Question 11

A series circuit consists of an open switch, an ideal emf source $\varepsilon _ { 0 }$, a $5.0 - \mathrm { k } \Omega$ resistor, and a 4.0-H inductor. If the potential across the resistor is $65.0 \mathrm {~V}$ at $2.0 \mathrm {~ms}$ after the switch is closed, find the source emf, $\varepsilon _ { 0 }$.

Accepted Answer

A)  $56 \mathrm {~V}$ 
B)  $36 \mathrm {~V}$ 
C)  $76 \mathrm {~V}$ 
D)  $71 \mathrm {~V}$

Question 12

A $200 - \Omega$ resistor, a 25-mH inductor, and a capacitor are connected in series across an ac voltage source at $1000 \mathrm {~Hz}$. If the impedance of this circuit is $240 \Omega$, which one of the following quantities could be the capacitance of the capacitor?

Accepted Answer

A)  $4.2 \mu \mathrm { F }$ 
B)  $7.5 \mu \mathrm { F }$ 
C)  $6.5 \mu \mathrm { F }$ 
D)  $5.5 \mu \mathrm { F }$ 
E)  $3.2 \mu \mathrm { F }$

Question 13

As shown in the figure, two parallel wires carry a current $I$ in opposite directions, and this current is decreasing. A rectangular loop is centered between the wires. The direction of the induced current through the resistor $R$ is

Accepted Answer

A)  from $b$ to $a$. 
B)  from $a$ to $b$. 
C)  No current is induced.

Question 14

Three resistors with resistances of $2.0 \Omega , 6.0 \Omega$, and $12 \Omega$ are connected across an ideal dc voltage source $V = 2.0 \mathrm {~V}$, as shown in the figure. What is the total current $I$ in this circuit?

Accepted Answer

A)  $3.0 \mathrm {~A}$ 
B)  $6.0 \mathrm {~A}$ 
C)  $1.5 \mathrm {~A}$ 
D)  $2.0 \mathrm {~A}$ 
E)  $0.70 \mathrm {~A}$

Question 15

A flat circular loop having one turn and radius 5.0 cm is positioned with its plane
perpendicular to a uniform 0.60-T magnetic field. The area of the loop is suddenly
reduced to essentially zero in 0.50 ms. What emf is induced in the loop?

Accepted Answer

The answer of A flat circular loop having one turn...

Question 16

At what frequency will a $20.0 - \mathrm { mH }$ inductor have an inductive reactance of $100 \Omega$ ?

Accepted Answer

A)  $796 \mathrm {~Hz}$ 
B)  $225 \mathrm {~Hz}$ 
C)  $655 \mathrm {~Hz}$ 
D)  $457 \mathrm {~Hz}$ 
E)  None of the other answers is correct.

Question 17

A $6.0 - \Omega$ and a $12 - \Omega$ resistor are connected in parallel across an ideal $36 - \mathrm { V }$ battery. What power is dissipated by the $6.0 - \Omega$ resistor?

Accepted Answer

A)  $48 \mathrm {~W}$ 
B)  $24 \mathrm {~W}$ 
C)  $220 \mathrm {~W}$ 
D)  $490 \mathrm {~W}$

Question 18

At what frequency is the reactance of a $20.0 - \mathrm { mH }$ inductor equal to $120 \Omega$ ?

Accepted Answer

A)  $318 \mathrm {~Hz}$ 
B)  $1110 \mathrm {~Hz}$ 
C)  $637 \mathrm {~Hz}$ 
D)  $955 \mathrm {~Hz}$ 
E)  $796 \mathrm {~Hz}$

Question 19

A 8.0- $\mu \mathrm { F }$ uncharged capacitor is connected in series with a 6.0- $\mathrm { k } \Omega$ resistor, an ideal $20 - \mathrm { V } \mathrm { dc }$ source, and an open switch. If the switch is closed at time $t = 0.0 \mathrm {~s}$, what is the charge on the capacitor at $t = 9.0 \mathrm {~ms}$ ?

Accepted Answer

A)  $0 \mathrm { C }$ 
B)  $37 \%$ of the minimum charge 
C)  $96 \%$ of the maximum charge 
D)  $17 \%$ of the maximum charge 
E)  $68 \%$ of the minimum charge

Question 20

A $5 - \mu \mathrm { F }$, a $7 - \mu \mathrm { F }$, and an unknown capacitor $C \mathrm { X }$ are connected in series between points $a$ and $b$. What do you know about the equivalent capacitance $C _ { a b }$ between $a$ and $b$ ? (There could be more than one correct choice.)

Accepted Answer

A)  $C _ { a b }  12 \mu \mathrm { F }$ 
E)  $5 \mu \mathrm { F } < C _ { a b } < 12 \mu \mathrm { F }$

Exam 19: Dc Circuits

A $7.0 - \Omega$ resistor is connected across the terminals of a battery having an internal emf of $10 \mathrm {~V}$ . If $0.50 - \mathrm { A }$ current flows, what is the internal resistance of the battery?

What is the equivalent resistance in the circuit shown in the figure? $What is the equivalent resistance in the circuit shown in the figure? A) 50 \Omega B) 55 \Omega C) 80 \Omega D) 35 \Omega$

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 Current I through the resistor as a function of time t?

You need an inductor that will store $20 \mathrm {~J}$ of energy when a $3.0$ -A current flows through it. What should be its self-inductance?

The potential applied to a $20 - \Omega$ resistor is $( 60 \mathrm {~V} ) \cos ( 33 t )$ . What is the average power consumed in the resistor?

What inductance must be put in series with a $100 - \mathrm { k } \Omega$ resistor at $1.0 - \mathrm { MHz }$ for a total impedance of $150 \mathrm { k } \Omega$ ?

The magnetic flux through a coil changes steadily from $4.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ to $5.0 \times 10 - 5 \mathrm {~T} \cdot \mathrm { m } ^ { 2 }$ in $0.10 \mathrm {~s}$ . What emf is induced in this coil?

What size capacitor should be placed in series with a $30 - \Omega$ resistor and a $40 - \mathrm { mH }$ inductive coil if the resonant frequency of the circuit is to be $1.0 \mathrm { kHz }$ ?

The phase angle of an $R L C$ series ac circuit with an inductive reactance of $200 \Omega$ and a capacitive reactance of $100 \Omega$ is $40.0 ^ { \circ }$ . What is the resistance of the resistor in this circuit?

A $200 - \Omega$ resistor, a 25-mH inductor, and a capacitor are connected in series across an ac voltage source at $1000 \mathrm {~Hz}$ . If the impedance of this circuit is $240 \Omega$ , which one of the following quantities could be the capacitance of the capacitor?

As shown in the figure, two parallel wires carry a current $I$ in opposite directions, and this current is decreasing. A rectangular loop is centered between the wires. The direction of the induced current through the resistor $R$ is

A flat circular loop having one turn and radius 5.0 cm is positioned with its plane perpendicular to a uniform 0.60-T magnetic field. The area of the loop is suddenly reduced to essentially zero in 0.50 ms. What emf is induced in the loop?

At what frequency will a $20.0 - \mathrm { mH }$ inductor have an inductive reactance of $100 \Omega$ ?

A $6.0 - \Omega$ and a $12 - \Omega$ resistor are connected in parallel across an ideal $36 - \mathrm { V }$ battery. What power is dissipated by the $6.0 - \Omega$ resistor?

At what frequency is the reactance of a $20.0 - \mathrm { mH }$ inductor equal to $120 \Omega$ ?

A $5 - \mu \mathrm { F }$ , a $7 - \mu \mathrm { F }$ , and an unknown capacitor $C \mathrm { X }$ are connected in series between points $a$ and $b$ . What do you know about the equivalent capacitance $C _ { a b }$ between $a$ and $b$ ? (There could be more than one correct choice.)

Exam 19: Dc Circuits

A 7.0−Ω7.0 - \Omega7.0−Ω resistor is connected across the terminals of a battery having an internal emf of 10 V10 \mathrm {~V}10 V . If 0.50−A0.50 - \mathrm { A }0.50−A current flows, what is the internal resistance of the battery?

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

For the circuit shown in the figure, what is the power dissipated in the 2.0−Ω2.0 - \Omega2.0−Ω resistor? All the numbers shown are accurate to three significant figures.

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 Current I through the resistor as a function of time t?

You need an inductor that will store 20 J20 \mathrm {~J}20 J of energy when a 3.03.03.0 -A current flows through it. What should be its self-inductance?

The potential applied to a 20−Ω20 - \Omega20−Ω resistor is (60 V)cos⁡(33t)( 60 \mathrm {~V} ) \cos ( 33 t )(60 V)cos(33t) . What is the average power consumed in the resistor?

What inductance must be put in series with a 100−kΩ100 - \mathrm { k } \Omega100−kΩ resistor at 1.0−MHz1.0 - \mathrm { MHz }1.0−MHz for a total impedance of 150kΩ150 \mathrm { k } \Omega150kΩ ?

What size capacitor should be placed in series with a 30−Ω30 - \Omega30−Ω resistor and a 40−mH40 - \mathrm { mH }40−mH inductive coil if the resonant frequency of the circuit is to be 1.0kHz1.0 \mathrm { kHz }1.0kHz ?

The phase angle of an RLCR L CRLC series ac circuit with an inductive reactance of 200Ω200 \Omega200Ω and a capacitive reactance of 100Ω100 \Omega100Ω is 40.0∘40.0 ^ { \circ }40.0∘ . What is the resistance of the resistor in this circuit?

As shown in the figure, two parallel wires carry a current III in opposite directions, and this current is decreasing. A rectangular loop is centered between the wires. The direction of the induced current through the resistor RRR is

Three resistors with resistances of 2.0Ω,6.0Ω2.0 \Omega , 6.0 \Omega2.0Ω,6.0Ω , and 12Ω12 \Omega12Ω are connected across an ideal dc voltage source V=2.0 VV = 2.0 \mathrm {~V}V=2.0 V , as shown in the figure. What is the total current III in this circuit?

A flat circular loop having one turn and radius 5.0 cm is positioned with its plane perpendicular to a uniform 0.60-T magnetic field. The area of the loop is suddenly reduced to essentially zero in 0.50 ms. What emf is induced in the loop?

At what frequency will a 20.0−mH20.0 - \mathrm { mH }20.0−mH inductor have an inductive reactance of 100Ω100 \Omega100Ω ?

A 6.0−Ω6.0 - \Omega6.0−Ω and a 12−Ω12 - \Omega12−Ω resistor are connected in parallel across an ideal 36−V36 - \mathrm { V }36−V battery. What power is dissipated by the 6.0−Ω6.0 - \Omega6.0−Ω resistor?

At what frequency is the reactance of a 20.0−mH20.0 - \mathrm { mH }20.0−mH inductor equal to 120Ω120 \Omega120Ω ?

A $7.0 - \Omega$ resistor is connected across the terminals of a battery having an internal emf of $10 \mathrm {~V}$ . If $0.50 - \mathrm { A }$ current flows, what is the internal resistance of the battery?

What is the equivalent resistance in the circuit shown in the figure? $What is the equivalent resistance in the circuit shown in the figure? A) 50 \Omega B) 55 \Omega C) 80 \Omega D) 35 \Omega$

You need an inductor that will store $20 \mathrm {~J}$ of energy when a $3.0$ -A current flows through it. What should be its self-inductance?

The potential applied to a $20 - \Omega$ resistor is $( 60 \mathrm {~V} ) \cos ( 33 t )$ . What is the average power consumed in the resistor?

What inductance must be put in series with a $100 - \mathrm { k } \Omega$ resistor at $1.0 - \mathrm { MHz }$ for a total impedance of $150 \mathrm { k } \Omega$ ?

What size capacitor should be placed in series with a $30 - \Omega$ resistor and a $40 - \mathrm { mH }$ inductive coil if the resonant frequency of the circuit is to be $1.0 \mathrm { kHz }$ ?

The phase angle of an $R L C$ series ac circuit with an inductive reactance of $200 \Omega$ and a capacitive reactance of $100 \Omega$ is $40.0 ^ { \circ }$ . What is the resistance of the resistor in this circuit?

As shown in the figure, two parallel wires carry a current $I$ in opposite directions, and this current is decreasing. A rectangular loop is centered between the wires. The direction of the induced current through the resistor $R$ is

At what frequency will a $20.0 - \mathrm { mH }$ inductor have an inductive reactance of $100 \Omega$ ?

A $6.0 - \Omega$ and a $12 - \Omega$ resistor are connected in parallel across an ideal $36 - \mathrm { V }$ battery. What power is dissipated by the $6.0 - \Omega$ resistor?

At what frequency is the reactance of a $20.0 - \mathrm { mH }$ inductor equal to $120 \Omega$ ?