Question 1

What resistance must be put in series with a $450 - \mathrm { mH }$ inductor at $5000 \mathrm {~Hz}$ for a total impedance of $40000 \Omega$ ?

Accepted Answer

A)  $45 \mathrm { k } \Omega$ 
B)  $26 \mathrm { k } \Omega$ 
C)  $37 \mathrm { k } \Omega$ 
D)  $40 \mathrm { k } \Omega$ 
A)  $45 \mathrm { k } \Omega$ 
B)  $26 \mathrm { k } \Omega$ 
C)  $37 \mathrm { k } \Omega$ 
D)  $40 \mathrm { k } \Omega$

Question 2

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

Accepted Answer

The answer of What different resistances can be obtained by...

Question 3

Determine the current in the $4.0 - \Omega$ 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)  $1.6 \mathrm {~A}$ 
B)  $0.28 \mathrm {~A}$ 
C)  $2.1 \mathrm {~A}$ 
D)  $1.3 \mathrm {~A}$ 
A)  $1.6 \mathrm {~A}$ 
B)  $0.28 \mathrm {~A}$ 
C)  $2.1 \mathrm {~A}$ 
D)  $1.3 \mathrm {~A}$

Question 4

At what frequency will a $14.0 - \mathrm { mH }$ coil have $14.0 \Omega$ of inductive reactance?

Accepted Answer

A)  $505 \mathrm {~Hz}$ 
B)  $257 \mathrm {~Hz}$ 
C)  $159 \mathrm {~Hz}$ 
D)  $1000 \mathrm {~Hz}$ 
A)  $505 \mathrm {~Hz}$ 
B)  $257 \mathrm {~Hz}$ 
C)  $159 \mathrm {~Hz}$ 
D)  $1000 \mathrm {~Hz}$

Question 5

A $6.0 - \mu \mathrm { F }$ capacitor is connected to an ac signal with a frequency of $60 \mathrm {~Hz}$. If the maximum voltage applied to the capacitor is $8.0 \mathrm {~V}$, what is its capacitive reactance?

Accepted Answer

A)  $740 \Omega$ 
B)  $160 \Omega$ 
C)  $440 \Omega$ 
D)  $7.5 \times 10 ^ { - 6 } \Omega$ 
E)  $6.0 \Omega$ 
A)  $740 \Omega$ 
B)  $160 \Omega$ 
C)  $440 \Omega$ 
D)  $7.5 \times 10 ^ { - 6 } \Omega$ 
E)  $6.0 \Omega$

Question 6

At what frequency will the inductive reactance of a $44 - \mathrm { mH }$ inductor be equal to the capacitive reactance of a $27 - \mathrm { pF }$ capacitor?

Accepted Answer

The answer of At what frequency will the inductive reactance...

Question 7

A certain ac signal at $1000 \mathrm {~Hz}$ is applied across an inductor and a $100 - \Omega$ resistor. If the power factor of the circuit is $0.400$, what is the impedance of this circuit?

Accepted Answer

A)  $300 \Omega$ 
B)  $200 \Omega$ 
C)  $100 \Omega$ 
D)  $150 \Omega$ 
E)  $250 \Omega$ 
A)  $300 \Omega$ 
B)  $200 \Omega$ 
C)  $100 \Omega$ 
D)  $150 \Omega$ 
E)  $250 \Omega$

Question 8

A 120-V rms signal at $60 \mathrm {~Hz}$ is applied across a series combination of a $30 - \mathrm { mH }$ inductor and a $100 - \Omega$ resistor. What is the rms value of the voltage across the resistor?

Accepted Answer

A)  $150 \mathrm {~V}$ 
B)  $100 \mathrm {~V}$ 
C)  $120 \mathrm {~V}$ 
D)  $60 \mathrm {~V}$ 
E)  $0.70 \mathrm {~V}$ 
A)  $150 \mathrm {~V}$ 
B)  $100 \mathrm {~V}$ 
C)  $120 \mathrm {~V}$ 
D)  $60 \mathrm {~V}$ 
E)  $0.70 \mathrm {~V}$

Question 9

For the circuit shown in the figure, $R _ { 1 } = 5.6 \Omega , R _ { 2 } = 5.6 \Omega , R _ { 3 } = 14 \Omega$, and $\varepsilon = 6.0 \mathrm {~V}$, and the battery is ideal.
(a) What is the equivalent resistance across the battery?
(b) Find the current through each resistor.

Accepted Answer

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

Question 10

What is the rms current through a $2.50 - \mathrm { mH }$ coil due to a $110 - \mathrm { V } \mathrm { rms } , 60 - \mathrm { Hz }$ source?

Accepted Answer

A)  $117 \mathrm {~A}$ 
B)  $0.94 \mathrm {~A}$ 
C)  $104 \mathrm {~A}$ 
D)  $2.5 \mathrm {~A}$ 
A)  $117 \mathrm {~A}$ 
B)  $0.94 \mathrm {~A}$ 
C)  $104 \mathrm {~A}$ 
D)  $2.5 \mathrm {~A}$

Question 11

What is the equivalent resistance between points $A$ and $B$ of the network shown in the figure?

Accepted Answer

The answer of What is the equivalent resistance between points...

Question 12

An ideal transformer steps down 120 V to 12. V and the 2630.-turn secondary supplies 12.
A.
(a) Determine the current in the primary.
(b) Determine the turns ratio.
(c) What is the ratio of output power to input power?

Accepted Answer

(a) 1.2 A (b) 1.0:10

Question 13

A 120- $\mathrm { V }$ rms voltage at $60 \mathrm {~Hz}$ is applied across an $R C$ circuit. The rms value of the current in the circuit is $0.60 \mathrm {~A}$, and it leads the voltage by $60 ^ { \circ }$. What is the capacitance in this circuit?

Accepted Answer

A)  $15 \mu \mathrm { F }$ 
B)  $17 \mu \mathrm { F }$ 
C)  $13 \mu \mathrm { F }$ 
D)  $14 \mu \mathrm { F }$ 
E)  $16 \mu \mathrm { F }$ 
A)  $15 \mu \mathrm { F }$ 
B)  $17 \mu \mathrm { F }$ 
C)  $13 \mu \mathrm { F }$ 
D)  $14 \mu \mathrm { F }$ 
E)  $16 \mu \mathrm { F }$

Question 14

A circuit contains a 2.0-M 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 $1.5 \mathrm {~s}$. What is its capacitance?

Accepted Answer

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

Question 15

An ac circuit has a 100- $\Omega$ resistor in series with a $4.9 - \mu \mathrm { F }$ capacitor and a $700 - \mathrm { mH }$ inductor. At what frequency does the circuit act like a pure resistance?

Accepted Answer

A)  $86 \mathrm {~Hz}$ 
B)  $0.29 \mathrm { MHz }$ 
C)  $12 \mathrm { MHz }$ 
D)  $1.9 \mathrm { MHz }$ 
E)  $0.54 \mathrm { kHz }$ 
A)  $86 \mathrm {~Hz}$ 
B)  $0.29 \mathrm { MHz }$ 
C)  $12 \mathrm { MHz }$ 
D)  $1.9 \mathrm { MHz }$ 
E)  $0.54 \mathrm { kHz }$

Question 16

A galvanometer with a coil resistance of $80 \Omega$ deflects full-scale for a current of $2.0 \mathrm {~mA}$. What series resistance is required to convert it to a voltmeter reading full scale for $200 \mathrm {~V}$.

Accepted Answer

A)  $100 \mathrm {~m} \Omega$ 
B)  $100 \mathrm { k } \Omega$ 
C)  $13 \mathrm { M } \Omega$ 
D)  $0.80 \mathrm {~m} \Omega$ 
E)  $250 \mathrm { k } \Omega$ 
A)  $100 \mathrm {~m} \Omega$ 
B)  $100 \mathrm { k } \Omega$ 
C)  $13 \mathrm { M } \Omega$ 
D)  $0.80 \mathrm {~m} \Omega$ 
E)  $250 \mathrm { k } \Omega$

Question 17

If a $1.0 - \mathrm { k } \Omega$ resistor is connected in series with a $20 - \mathrm { mH }$ inductor, what is the impedance at $1.0$ $\mathrm { kH } \mathrm { z }$ ?

Accepted Answer

A)  $1.0 \mathrm { k } \Omega$ 
B)  $0.13 \mathrm { M } \Omega$ 
C)  $0.13 \mathrm { k } \Omega$ 
D)  $1.1 \mathrm { k } \Omega$ 
A)  $1.0 \mathrm { k } \Omega$ 
B)  $0.13 \mathrm { M } \Omega$ 
C)  $0.13 \mathrm { k } \Omega$ 
D)  $1.1 \mathrm { k } \Omega$

Question 18

A series ac circuit has a reactance of $11 \mathrm { k } \Omega$ due to its capacitance, a reactance of $3 \mathrm { k } \Omega$ due to its inductance, and a resistance of $29 \mathrm { k } \Omega$. What is the power factor of this circuit?

Accepted Answer

A)  $0.96$ 
B)  $0.48$ 
C)  $0.27$ 
D)  $1.04$ 
A)  $0.96$ 
B)  $0.48$ 
C)  $0.27$ 
D)  $1.04$

Question 19

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference $V _ { \mathrm { A } } - V _ { \mathrm { B } }$ if $I = 5.0 \mathrm {~A}$ ?

Accepted Answer

A)  $45 \mathrm {~V}$ 
B)  $35 \mathrm {~V}$ 
C)  $63 \mathrm {~V}$ 
D)  $71 \mathrm {~V}$ 
E)  $55 \mathrm {~V}$ 
A)  $45 \mathrm {~V}$ 
B)  $35 \mathrm {~V}$ 
C)  $63 \mathrm {~V}$ 
D)  $71 \mathrm {~V}$ 
E)  $55 \mathrm {~V}$

Question 20

The phase angle of an ac circuit is $63 ^ { \circ }$. What is the power factor?

Accepted Answer

A)  $0.11$ 
B)  $0.89$ 
C)  $0.45$ 
D)  $0.55$ 
A)  $0.11$ 
B)  $0.89$ 
C)  $0.45$ 
D)  $0.55$

Exam 19: Dc Circuits

What resistance must be put in series with a 450−mH450 - \mathrm { mH }450−mH inductor at 5000 Hz5000 \mathrm {~Hz}5000 Hz for a total impedance of 40000Ω40000 \Omega40000Ω ?

What different resistances can be obtained by using two 2.0−Ω2.0 - \Omega2.0−Ω resistors and one 4.0−Ω4.0 - \Omega4.0−Ω resistor? You must use all three of them in each possible combination.

Determine the current in the 4.0−Ω4.0 - \Omega4.0−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.

At what frequency will a 14.0−mH14.0 - \mathrm { mH }14.0−mH coil have 14.0Ω14.0 \Omega14.0Ω of inductive reactance?

A 6.0−μF6.0 - \mu \mathrm { F }6.0−μF capacitor is connected to an ac signal with a frequency of 60 Hz60 \mathrm {~Hz}60 Hz . If the maximum voltage applied to the capacitor is 8.0 V8.0 \mathrm {~V}8.0 V , what is its capacitive reactance?

At what frequency will the inductive reactance of a 44−mH44 - \mathrm { mH }44−mH inductor be equal to the capacitive reactance of a 27−pF27 - \mathrm { pF }27−pF capacitor?

A certain ac signal at 1000 Hz1000 \mathrm {~Hz}1000 Hz is applied across an inductor and a 100−Ω100 - \Omega100−Ω resistor. If the power factor of the circuit is 0.4000.4000.400 , what is the impedance of this circuit?

A 120-V rms signal at 60 Hz60 \mathrm {~Hz}60 Hz is applied across a series combination of a 30−mH30 - \mathrm { mH }30−mH inductor and a 100−Ω100 - \Omega100−Ω resistor. What is the rms value of the voltage across the resistor?

What is the rms current through a 2.50−mH2.50 - \mathrm { mH }2.50−mH coil due to a 110−Vrms,60−Hz110 - \mathrm { V } \mathrm { rms } , 60 - \mathrm { Hz }110−Vrms,60−Hz source?

What is the equivalent resistance between points AAA and BBB of the network shown in the figure?

An ideal transformer steps down 120 V to 12. V and the 2630.-turn secondary supplies 12. A. (a) Determine the current in the primary. (b) Determine the turns ratio. (c) What is the ratio of output power to input power?

A 120- V\mathrm { V }V rms voltage at 60 Hz60 \mathrm {~Hz}60 Hz is applied across an RCR CRC circuit. The rms value of the current in the circuit is 0.60 A0.60 \mathrm {~A}0.60 A , and it leads the voltage by 60∘60 ^ { \circ }60∘ . What is the capacitance in this circuit?

A circuit contains a 2.0-M resistor in series with an uncharged capacitor. When this combination is connected across an ideal battery, the capacitor reaches 25%25 \%25% of its maximum charge in 1.5 s1.5 \mathrm {~s}1.5 s . What is its capacitance?

An ac circuit has a 100- Ω\OmegaΩ resistor in series with a 4.9−μF4.9 - \mu \mathrm { F }4.9−μF capacitor and a 700−mH700 - \mathrm { mH }700−mH inductor. At what frequency does the circuit act like a pure resistance?

A galvanometer with a coil resistance of 80Ω80 \Omega80Ω deflects full-scale for a current of 2.0 mA2.0 \mathrm {~mA}2.0 mA . What series resistance is required to convert it to a voltmeter reading full scale for 200 V200 \mathrm {~V}200 V .

If a 1.0−kΩ1.0 - \mathrm { k } \Omega1.0−kΩ resistor is connected in series with a 20−mH20 - \mathrm { mH }20−mH inductor, what is the impedance at 1.01.01.0 kHz\mathrm { kH } \mathrm { z }kHz ?

A series ac circuit has a reactance of 11kΩ11 \mathrm { k } \Omega11kΩ due to its capacitance, a reactance of 3kΩ3 \mathrm { k } \Omega3kΩ due to its inductance, and a resistance of 29kΩ29 \mathrm { k } \Omega29kΩ . What is the power factor of this circuit?

A portion of a circuit is shown in the figure, and the batteries are ideal. What is the potential difference VA−VBV _ { \mathrm { A } } - V _ { \mathrm { B } }VA​−VB​ if I=5.0 AI = 5.0 \mathrm {~A}I=5.0 A ?

The phase angle of an ac circuit is 63∘63 ^ { \circ }63∘ . What is the power factor?

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Filters

What resistance must be put in series with a $450 - \mathrm { mH }$ inductor at $5000 \mathrm {~Hz}$ for a total impedance of $40000 \Omega$ ?

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

At what frequency will a $14.0 - \mathrm { mH }$ coil have $14.0 \Omega$ of inductive reactance?

A $6.0 - \mu \mathrm { F }$ capacitor is connected to an ac signal with a frequency of $60 \mathrm {~Hz}$ . If the maximum voltage applied to the capacitor is $8.0 \mathrm {~V}$ , what is its capacitive reactance?

At what frequency will the inductive reactance of a $44 - \mathrm { mH }$ inductor be equal to the capacitive reactance of a $27 - \mathrm { pF }$ capacitor?

A certain ac signal at $1000 \mathrm {~Hz}$ is applied across an inductor and a $100 - \Omega$ resistor. If the power factor of the circuit is $0.400$ , what is the impedance of this circuit?

A 120-V rms signal at $60 \mathrm {~Hz}$ is applied across a series combination of a $30 - \mathrm { mH }$ inductor and a $100 - \Omega$ resistor. What is the rms value of the voltage across the resistor?

What is the rms current through a $2.50 - \mathrm { mH }$ coil due to a $110 - \mathrm { V } \mathrm { rms } , 60 - \mathrm { Hz }$ source?

What is the equivalent resistance between points $A$ and $B$ of the network shown in the figure?

A 120- $\mathrm { V }$ rms voltage at $60 \mathrm {~Hz}$ is applied across an $R C$ circuit. The rms value of the current in the circuit is $0.60 \mathrm {~A}$ , and it leads the voltage by $60 ^ { \circ }$ . What is the capacitance in this circuit?

A circuit contains a 2.0-M 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 $1.5 \mathrm {~s}$ . What is its capacitance?

An ac circuit has a 100- $\Omega$ resistor in series with a $4.9 - \mu \mathrm { F }$ capacitor and a $700 - \mathrm { mH }$ inductor. At what frequency does the circuit act like a pure resistance?

A galvanometer with a coil resistance of $80 \Omega$ deflects full-scale for a current of $2.0 \mathrm {~mA}$ . What series resistance is required to convert it to a voltmeter reading full scale for $200 \mathrm {~V}$ .

If a $1.0 - \mathrm { k } \Omega$ resistor is connected in series with a $20 - \mathrm { mH }$ inductor, what is the impedance at $1.0$ $\mathrm { kH } \mathrm { z }$ ?

A series ac circuit has a reactance of $11 \mathrm { k } \Omega$ due to its capacitance, a reactance of $3 \mathrm { k } \Omega$ due to its inductance, and a resistance of $29 \mathrm { k } \Omega$ . What is the power factor of this circuit?

The phase angle of an ac circuit is $63 ^ { \circ }$ . What is the power factor?