Question 1

The voltage 8.00 sin (400t)is applied to a series RLC circuit,with R = 200 Ω,L = 0.100 H,and C = 1.00 μF.What are the impedance Z and the phase angle θ?

Accepted Answer

A) 200 Ω,−37.0° 
B) 566 Ω,+87.0° 
C) 2 470 Ω,−85.4° 
D) 2 540 Ω,−88.8° 
E) 393 Ω,−63.0° 
A) 200 Ω,−37.0° 
B) 566 Ω,+87.0° 
C) 2 470 Ω,−85.4° 
D) 2 540 Ω,−88.8° 
E) 393 Ω,−63.0°

Question 2

An incandescent lightbulb is rated at 100 Watts when plugged into a 110 V-rms household outlet.Calculate the resistance of the filament and the rms current.

Accepted Answer

A) 12.2Ω,0.91 A (rms) 
B) 10Ω,1.0 A (rms) 
C) 110Ω,1.0 A (rms) 
D) 121Ω,0.91 A (rms) 
E) 11Ω,1.1 A (rms) 
A) 12.2Ω,0.91 A (rms) 
B) 10Ω,1.0 A (rms) 
C) 110Ω,1.0 A (rms) 
D) 121Ω,0.91 A (rms) 
E) 11Ω,1.1 A (rms)

Question 3

Determine the resonant frequency of the circuit.

Accepted Answer

A) 159 Hz 
B) 32 Hz 
C) 5 Hz 
D) 500 Hz 
E) 79.5 Hz 
A) 159 Hz 
B) 32 Hz 
C) 5 Hz 
D) 500 Hz 
E) 79.5 Hz

Question 4

Determine the rms voltage drop across the inductor in the circuit.

Accepted Answer

A) 11 V 
B) 27.5 V 
C) 33 V 
D) 38.5 V 
E) 30.5 V 
A) 11 V 
B) 27.5 V 
C) 33 V 
D) 38.5 V 
E) 30.5 V

Question 5

Find the resonant frequency for a series RLC circuit where R = 10Ω,C = 5.00 μF,and L = 2.00 mH.

Accepted Answer

A) 998 Hz 
B) 1.59 kHz 
C) 2.45 kHz 
D) 11.3 kHz 
E) 2.53 kHz 
A) 998 Hz 
B) 1.59 kHz 
C) 2.45 kHz 
D) 11.3 kHz 
E) 2.53 kHz

Question 6

Determine the impedance for the circuit.
​  
​

Accepted Answer

A) 600 Ω 
B) 1200 Ω 
C) 1800 Ω 
D) 2300 Ω 
E) 1100 Ω 
A) 600 Ω 
B) 1200 Ω 
C) 1800 Ω 
D) 2300 Ω 
E) 1100 Ω

Question 7

An alternating current circuit has resistance R,inductance L and capacitance C in series with a voltage source.Which statement is correct?

Accepted Answer

A) The voltage across the capacitor leads the voltage across the inductor by 90°. 
B) The voltage across the inductor leads the voltage across the capacitor by 90°. 
C) The voltage across the inductor leads the voltage across the resistor by 180°. 
D) The voltage across the inductor is out of phase with the voltage across the capacitor by 180°. 
E) Both voltages lead the voltage across the resistor by 90°. 
A) The voltage across the capacitor leads the voltage across the inductor by 90°. 
B) The voltage across the inductor leads the voltage across the capacitor by 90°. 
C) The voltage across the inductor leads the voltage across the resistor by 180°. 
D) The voltage across the inductor is out of phase with the voltage across the capacitor by 180°. 
E) Both voltages lead the voltage across the resistor by 90°.

Question 8

If the input to an RLC series circuit is V = Vm cos ωt,then the current in the circuit is

Accepted Answer

A)    cos ωt 
B)    
C)    
D)    
E)    
A)    cos ωt 
B)    
C)    
D)    
E)

Question 9

A 60.0-Hz ac generator with a peak voltage of 110 V drives a series RC circuit with R = 10.0 Ω and C = 300 μF.The impedance is

Accepted Answer

A) 4.68 Ω. 
B) 8.84 Ω. 
C) 10.0 Ω. 
D) 13.4 Ω. 
E) 18.8 Ω. 
A) 4.68 Ω. 
B) 8.84 Ω. 
C) 10.0 Ω. 
D) 13.4 Ω. 
E) 18.8 Ω.

Question 10

The primary winding of an electric train transformer has 400 turns and the secondary has 50.If the input voltage is 120V(rms)what is the output voltage?

Accepted Answer

A) 15 V (rms) 
B) 30 V (rms) 
C) 60 V (rms) 
D) 2.4 V (rms) 
E) 960 V (rms) 
A) 15 V (rms) 
B) 30 V (rms) 
C) 60 V (rms) 
D) 2.4 V (rms) 
E) 960 V (rms)

Question 11

A 10.0-Ω resistor,10.0-mH inductor,and 10.0-μF capacitor are connected in series with a 10.0-kHz voltage source.The rms current through the circuit is 0.200 A.Find the rms voltage drop across each of the 3 elements.

Accepted Answer

2.00 V,126

Question 12

For driving voltage V = Vm sin ωt,the current through the resistor is

Accepted Answer

A) Vm sin (ωt + φ) 
B) Vm cos (ωt + φ) 
C)    sin (ωt + φ) 
D)    sin (ωt + φ) 
E)    sin ωt 
A) Vm sin (ωt + φ) 
B) Vm cos (ωt + φ) 
C)    sin (ωt + φ) 
D)    sin (ωt + φ) 
E)    sin ωt

Question 13

What is the average power dissipation in a series RC circuit if R = 5.00 kΩ,C = 2.00 μF,and V = 170 cos (300t)?

Accepted Answer

A) 0.930 W 
B) 2.60 W 
C) 28.2 W 
D) 157 W 
E) 5.20 W 
A) 0.930 W 
B) 2.60 W 
C) 28.2 W 
D) 157 W 
E) 5.20 W

Question 14

Determine the rms voltage drop across the resistor in the circuit.

Accepted Answer

A) 55 V 
B) 77 V 
C) 9.9 V 
D) 5.5 V 
E) 61 V 
A) 55 V 
B) 77 V 
C) 9.9 V 
D) 5.5 V 
E) 61 V

Question 15

A transformer is to be designed to increase the 30 kV-rms output of a generator to the transmission-line voltage of 345 kV-rms.If the primary winding has 80 turns,how many turns must the secondary have?

Accepted Answer

A) 6 
B) 70 
C) 920 
D) 9200 
E) 12 
A) 6 
B) 70 
C) 920 
D) 9200 
E) 12

Question 16

The graphs below represent current and voltage phasors at one instant of time.The solid arrows represent the voltage phasors,ΔVmax,and the dashed arrows represent the current phasors,Imax.The graph which shows the correct relationship between current and voltage phasors for a capacitor in an RC circuit is

Accepted Answer

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

Question 17

Suppose the circuit parameters in a series RLC circuit are: L = 1.00 μH,C = 10.0 nF,R = 100 Ω,and the source voltage is 220 V.Determine the resonant frequency of the circuit and the amplitude of the current at resonance.

Accepted Answer

The answer of Suppose the circuit parameters in a series...

Question 18

A step-up transformer has an input voltage of 110 V (rms).There are 100 turns on the primary and 1500 on the secondary.What is the output voltage?

Accepted Answer

A) 1 600 V (max) 
B) 1 650 V (rms) 
C) 3 260 V (max) 
D) 165 kV (rms) 
E) 7.3 V (rms) 
A) 1 600 V (max) 
B) 1 650 V (rms) 
C) 3 260 V (max) 
D) 165 kV (rms) 
E) 7.3 V (rms)

Question 19

The inductance of a tuning circuit of an AM radio is 4.00 mH.Find the capacitance of the circuit required for reception at 1 200 kHz.

Accepted Answer

A) 2.10 pF 
B) 4.40 pF 
C) 21.2 pF 
D) 43.4 pF 
E) 27.6 pF 
A) 2.10 pF 
B) 4.40 pF 
C) 21.2 pF 
D) 43.4 pF 
E) 27.6 pF

Question 20

The power output,Pout,of an ideal step-up transformer that receives power input,Pin,and which has N1 turns in the primary and N2 turns in the secondary coil is given by

Accepted Answer

A) Pout = Pin. 
B) Pout =   Pin. 
C) Pout =   Pin. 
D) Pout =   Pin. 
E) Pout =   Pin. 
A) Pout = Pin. 
B) Pout =   Pin. 
C) Pout =   Pin. 
D) Pout =   Pin. 
E) Pout =   Pin.

Exam 33: Alternating-Current Circuits

The voltage 8.00 sin (400t)is applied to a series RLC circuit,with R = 200 Ω,L = 0.100 H,and C = 1.00 μF.What are the impedance Z and the phase angle θ?

An incandescent lightbulb is rated at 100 Watts when plugged into a 110 V-rms household outlet.Calculate the resistance of the filament and the rms current.

Determine the resonant frequency of the circuit.

Determine the rms voltage drop across the inductor in the circuit.

Find the resonant frequency for a series RLC circuit where R = 10Ω,C = 5.00 μF,and L = 2.00 mH.

Determine the impedance for the circuit. ​ ​

An alternating current circuit has resistance R,inductance L and capacitance C in series with a voltage source.Which statement is correct?

If the input to an RLC series circuit is V = Vm cos ωt,then the current in the circuit is

A 60.0-Hz ac generator with a peak voltage of 110 V drives a series RC circuit with R = 10.0 Ω and C = 300 μF.The impedance is

The primary winding of an electric train transformer has 400 turns and the secondary has 50.If the input voltage is 120V(rms)what is the output voltage?

A 10.0-Ω resistor,10.0-mH inductor,and 10.0-μF capacitor are connected in series with a 10.0-kHz voltage source.The rms current through the circuit is 0.200 A.Find the rms voltage drop across each of the 3 elements.

For driving voltage V = Vm sin ωt,the current through the resistor is

What is the average power dissipation in a series RC circuit if R = 5.00 kΩ,C = 2.00 μF,and V = 170 cos (300t)?

Determine the rms voltage drop across the resistor in the circuit.

A transformer is to be designed to increase the 30 kV-rms output of a generator to the transmission-line voltage of 345 kV-rms.If the primary winding has 80 turns,how many turns must the secondary have?

Suppose the circuit parameters in a series RLC circuit are: L = 1.00 μH,C = 10.0 nF,R = 100 Ω,and the source voltage is 220 V.Determine the resonant frequency of the circuit and the amplitude of the current at resonance.

A step-up transformer has an input voltage of 110 V (rms).There are 100 turns on the primary and 1500 on the secondary.What is the output voltage?

The inductance of a tuning circuit of an AM radio is 4.00 mH.Find the capacitance of the circuit required for reception at 1 200 kHz.

The power output,Pout,of an ideal step-up transformer that receives power input,Pin,and which has N1 turns in the primary and N2 turns in the secondary coil is given by

Physics and Measurement

Motion in One Dimension

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The Laws of Motion

Circular Motion and Other Applications of Newtons Laws

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The First Law of Thermodynamics

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Introduction to Quantum Physics

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Filters

Determine the impedance for the circuit.

If the input to an RLC series circuit is V = V_m cos ωt,then the current in the circuit is

For driving voltage V = V_m sin ωt,the current through the resistor is

The power output,P_out,of an ideal step-up transformer that receives power input,P_in,and which has N₁ turns in the primary and N₂ turns in the secondary coil is given by