Deck 30: Alternating Current Circuits

Question 1

A 3.00- $\mu$ F capacitor was fully charged by being connected to a 9.00-V battery.The fully charged capacitor is then connected to a 0.500-H inductor.The frequency of oscillation of the LC circuit is

A)130 Hz.
B)15.2 Hz.
C)1.89 Hz.
D)22.7 Hz.
E)356 Hz

Answer 1

130 Hz.

Question 2

At what frequency will a 20 mH inductor have a reactance X_L = 500 $\varOmega$ ?

A)62.8 Hz
B)3980 Hz
C)2210 Hz
D)125 Hz
E)8120 Hz

Answer 2

3980 Hz

Question 3

At what frequency will a 20-µF capacitor have a reactance X_C = 500 $\varOmega$ ?

A)51 Hz
B)42 Hz
C)35 Hz
D)27 Hz
E)16 Hz

Answer 3

16 Hz

Question 4

The total amount of energy stored in an LC series circuit is 8.00 J.When the current through the inductor is equal to half its maximum value,how much energy is stored in the magnetic field?

A)2.00 J
B)4.00 J
C)6.00 J
D)8.00 J

Question 5

A 100- $\varOmega$ resistor,an inductor and a 3.0-µF capacitor are connected in series with a time varying emf of 10.0 V and frequency 1000 Hz.The impedance of the circuit is 339 $\varOmega$ .What is the inductance of the inductor?

A)20.0 mH
B)40.0 mH
C)60.0 mH
D)80.0 mH

Question 6

In a series RLC circuit,when is the capacitive reactance equal to the inductive reactance?

A)when the resistance of the resistor is equal to the impedance of the circuit
B)when the frequency of the emf is equal to the resonant frequency of the circuit
C)Both A and B are correct.
D)None are correct.

Question 7

A RLC series circuit is comprised of a 12.0-ohm resistor,8.00-mF capacitor and a 6.00-mH inductor,all in series.What is the minimum value of the impedance of this circuit?

A)6.00 ohms
B)8.00 ohms
C)12.0 ohms
D)26.0 ohms

Question 8

A resistor,a 20 mH inductor and a 3.0-µF capacitor are connected in series with a time varying emf of 10.0 V and frequency 1000 Hz.The impedance of the circuit is 339 $\varOmega$ .What is the resistance of the resistor?

A)331 $\varOmega$
B)100 $\varOmega$
C)258 $\varOmega$
D)179 $\varOmega$

Question 9

An LC series circuit is comprised of a capacitor in series with a 40 mF inductor.The period of electromagnetic oscillations in this circuit is 100 ms.What is the capacitance of the capacitor?

A)12.1 mF
B)14.2 mF
C)6.33 mF
D)1.00 mF

Question 10

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 0.500 µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.Determine the current in the circuit.

A)100 mA
B)127 mA
C)138 mA
D)152 mA

Question 11

In an ideal transformer,the rms voltage in the primary is equal to five multiplied by the rms voltage in the secondary.If the rms current in the primary is equal to 10.0 A,then what is the rms current in the secondary?

A)2.00 A
B)10.0 A
C)50.0 A
D)None are correct.

Question 12

An LC series circuit is comprised of a 1.0-mF capacitor in series with an inductor.The period of electromagnetic oscillations in this circuit is 100 ms.What is the inductance of the inductor?

A)253 mH
B)10.0 mH
C)391 mH
D)91.3 mH

Question 13

A circuit contains a resistor,a 0.0200-H inductor and 0.500- µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.The current flow through the circuit at this frequency is 128 mA.Determine the value of the resistor.

A)59.0 $\varOmega$
B)95.0 $\varOmega$
C)111 $\varOmega$
D)128 $\varOmega$
E)133 $\varOmega$

Question 14

An LC series circuit is comprised of a 10.0-mF capacitor in series with a 10.0-mH inductor.What is the period of electromagnetic oscillations in this circuit?

A)62.8 ms
B)15.9 s
C)100 s
D)None are correct.

Question 15

A 100 v resistor,a 20 mH inductor and a capacitor are connected in series with a time varying emf of 10.0 V and frequency 1000 Hz.The impedance of the circuit is 339 $\varOmega$ .What is the capacitance of the capacitor?

A)0.354 µF
B)3.0 µF
C)0.153 µF
D)0.289 µF

Question 16

A 3.0- $\mu$ F capacitor was fully charged by being connected to a 9.0-V battery.The fully charged capacitor is then connected to a 0.50-H inductor.The maximum current in the inductor is

A)22 mA.
B)0.054 mA.
C)10.2 mA.
D)0.028 mA.
E)35 mA.

Question 17

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 1.00 µF capacitor in series as shown.The time varying emf is 30.0 V.What is the resonant angular frequency of the circuit?

A)1.0 * 10³ rad/s
B)2.7 * 10³ rad/s
C)4.4 * 10³ rad/s
D)6.3 * 10³ rad/s
E)7.0 * 10³ rad/s

Question 18

The total amount of energy stored in an LC series circuit is 8.00 J.When the current through the inductor is equal to half its maximum value,how much energy is stored in the electric field?

A)2.00 J
B)4.00 J
C)6.00 J
D)8.00 J

Question 19

An AC source with $\Delta$ V_max = 220 V and f = 60.0 Hz is connected to an RLC series combination.The resistance,R,inductance,L and capacitance,C of this circuit are 80.0 $\varOmega$ ,0.300 H,and 0.02 mF,respectively.The maximum current through the circuit is

A) 5.98 A.
B) 2.75 A.
C) 1.44 A.
D) 2.67 A.
E) 5.56 A.

Question 20

A circuit contains a 100- $\varOmega$ resistor,a 0.0200-H inductor and 0.500 µF capacitor in series as shown.The time varying emf is 30.0 V at a frequency of 1000 Hz.Determine the voltage drop across the capacitor.

A)10 V
B)29 V
C)44 V
D)58 V

Question 21

An ideal transformer has 255 loops in its primary coil and 125 loops in its secondary coil.If the primary current is 2.5 A_rms and the device connected to the secondary uses 100 W of power,what is the rms secondary voltage?

A)38.9 V
B)19.6 V
C)40.0 V
D)62.3 V
E)100 V

Question 22

A radio tuner has a resistance of 1.0 $\mu$$\varOmega$ ,the capacitance is 25.0 nF,and an inductance of 3.00 mH.Find power in the circuit if the signal produces an rms voltage across the antenna of 1.50 mV and comes in at the resonance frequency.

A)1.9 * 10^-17 W
B)3.3 * 10^-9 W
C)6.5 * 10^-9 W
D)7.5 * 10^-4 W
E)2.3 W

Question 23

An LRC oscillator circuit consists of a 50- $\varOmega$ resistor and a 100 nF capacitor.What inductance is necessary for the decay rate of the circuit (the 1/e value)to be equal to the oscillation period?

A)14.9 mH
B)7.63 mH
C)9.93 mH
D)12.1 mH
E)1.00 mH

Question 24

A capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with R=72.0 $\varOmega$ and L= 0.500 H.If the frequency of the damped oscillation of the circuit is 90.0 Hz,what is the capacitance?

A)5.00 $\mu$ F
B)3.91 $\mu$ F
C)6.15 $\mu$ F
D)4.33 $\mu$ F
E)5.54 $\mu$ F

Question 25

A 5.00- $\mu$ F capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with R = 72.0 $\varOmega$ and L= 0.500 H.Calculate the frequency of the damped oscillation of the circuit.

A)1.00 * 10² Hz
B)1.50 * 10² Hz
C)2.00 * 10² Hz
D)2.50 * 10² Hz
E)3.00 * 10² Hz

Question 26

A simple tuned FM antenna circuit is used to pick up radio signals.The circuit is a series RLC circuit with an inductor (9.50 $\mu$ H)and a variable capacitor which can be tuned to receive your favorite station.The radio signal from your favorite FM radio station produces a sinusoidal time-varying emf with an amplitude 15 $\mu$ V and a frequency of 88.7 MHz in the antenna,which acts as an ac emf.Another radio station produces a sinusoidal time-varying emf with the same amplitude but with a frequency of 88.5 MHz.With the circuit tuned to optimize reception at 88.7 MHz,what should the value of the resistance in the FM circuit be in order to attenuate by a factor of two (compared to the power if the circuit were optimized for 88.5 MHz)the current produced by the signal from the second station?

A)4.3 * 10^-5 $\varOmega$
B)10 $\varOmega$
C)14 $\varOmega$
D)24 $\varOmega$
E)36 $\varOmega$

Question 27

Consider a series RLC circuit consisting of a 6.75- $\varOmega$ resistor,a 8.60-mH inductor,and a 2.68-mF capacitor.The circuit is driven by a rms emf of 110 V running at 60 Hz.What is the rms current in this circuit?

A)11.0 A
B)15.5 A
C)16.3 A
D)19.4 A
E)21.3 A

Question 28

A radio tuner has a resistance of 1.00 $\mu$$\varOmega$ ,a capacitance of 25.0 nF,and an inductance of 3.00 mH.If the power in the circuit is 3.9 W and it is at the resonance frequency,what is the rms voltage of the signal produced across the antenna?

A)2.21 mV
B)1.00 mV
C)1.67 mV
D)1.50 mV
E)1.97 mV

Question 29

Consider a series RLC circuit consisting of a 3.40- $\varOmega$ resistor,a 8.60-mH inductor,and a 5.62-mF capacitor.The circuit is driven by a rms emf of 220 V running at 50 Hz.What is the phase angle between the generator voltage and the current?

A)0.56 ^$\circ$
B)9.5 ^$\circ$
C)32 ^$\circ$
D)38 ^$\circ$
E)45 ^$\circ$

Question 30

A radio tuner has a resistance of 1.0 $\mu$$\varOmega$ ,the capacitance is 25.0 nF,and an inductance of 3.00 mH.Find the power in the circuit if the signal produces a voltage across the antenna of 1.50 mV and comes in at a frequency that is 1% higher than the resonance frequency of the tuner.

A)4.7 * 10^-14 W
B)3.2 * 10^-9 W
C)3.3 * 10^-7 W
D)2.2 * 10^-4 W
E)7.5 * 10^-4 W

Question 31

Consider a LC circuit with a 26.0-mH inductor and a 32.0- $\mu$ F capacitor.With a switch keeping the circuit open,the capacitor is charged with a charge of 21.0 $\mu$ C.At time t = 0 s the switch is closed,allowing charge to leave the capacitor.Calculate the first time when the energy stored in the capacitor equals the energy stored in the inductor.

A)7.2 * 10^-4 s
B)5.9 * 10^-7 s
C)4.1 * 10^-2 s
D)2.9 * 10^-3 s
E)1.4 * 10^-3 s

Question 32

Consider a series RLC circuit consisting of a 3.40- $\varOmega$ resistor,a 8.60-mH inductor,and a tunable capacitor.The circuit is driven by an rms emf of 110 V running at 60 Hz.What value of the capacitor will allow the strongest current amplitude oscillations to occur in the circuit?

A)4.3 * 10^-5 F
B)3.2 * 10^-3 F
C)8.2 * 10^-4 F
D)0.032 F
E)0.31 F

Question 33

An LRC oscillator circuit consists of a 50- $\varOmega$ resistor and a 1-mH inductor.What capacitance is necessary for the decay rate of the circuit (the 1/e value)to be equal to the oscillation period?

A)10 nF
B)20 nF
C)30 nF
D)40 nF
E)50 nF

Question 34

A radio tuner has a capacitance of 25.0 nF,and an inductance of 3.00 mH.If the power in the circuit is 3.9 W when the signal produces an rms voltage across the antenna of 1.50 mV and it is at the resonance frequency,what is the resistance of the tuner?

A)0.723 $\mu$$\varOmega$
B)1.00 $\mu$$\varOmega$
C)2.11 $\mu$$\varOmega$
D)0.288 $\mu$$\varOmega$
E)0.577 $\mu$$\varOmega$

Question 35

What is the maximum current when a 220 mH inductor is connected to a 240 V_rms,50-Hz power supply?

A)1.80 A
B)3.47 A
C)4.91 A
D)2.15 A
E)4.31 A

Question 36

A 5.00- $\mu$ F capacitor was fully charged by being connected to a 12.0-V battery.The fully charged capacitor is then connected to an RL series combination with L= 0.500 H.If the frequency of the damped oscillation of the circuit is 90.0 Hz,what is the resistance?

A)72.0 $\varOmega$
B)228 $\varOmega$
C)98.1 $\varOmega$
D)283 $\varOmega$
E)312 $\varOmega$

Question 37

An AC circuit has a resistance of 21 ohms,a capacitive reactance of 33 ohms,and an inductance reactance of 44 ohms.What is the rms current when this is connected to a 120V_rms,60-Hz power supply?

A)7.2 mA
B)1.2 A
C)2.0 A
D)5.1 A
E)5.7 A

Question 38

What is the maximum current when a 33 nF capacitor is connected to a 240 V_rms,50-Hz power supply?

A)0.56 mA
B)2.5 mA
C)3.5 mA
D)23 MA
E)33 MA

Question 39

An ideal transformer has 255 loops in its primary coil and 125 loops in its secondary coil.If the primary voltage is 120 V_rms and the device connected to the secondary uses 100 W of power,what is the current in the secondary loop?

A)0.41 A
B)0.59 A
C)1.7 A
D)59 A
E)240 A

Question 40

What is the maximum current when a 133 $\varOmega$ resistor is connected to a 240 V_rms,50-Hz power supply?

A)1.80 A
B)2.55 A
C)3.5 A
D)1.44 A
E)4.31 A

Question 41

A low pass filter consists of a 6-kΩ resistor and a 9-mH inductor.What is the breakpoint frequency?

A)106 kHz
B)287 kHz
C)324 kHz
D)667 kHz
E)897 kHz

Question 42

In a series RLC circuit,the voltages across the capacitor,resistor,and the inductor are V_c = 5.4 V,V_R = 7.5 V,and V_L = 11.2 V,respectively.Is the frequency of oscillations above,below,or equal to the resonant frequency of the circuit?

A)below
B)above
C)equal to

Question 43

You want to make an AM radio that can receive electromagnetic waves of frequency 889 kHz.You have an 8- mH inductor.What capacitance would you choose for your radio?

A)16 pF
B)12 pF
C)9 pF
D)4 pF

Question 44

A 20-mH inductor and an 8-µF capacitor are used to build an LC circuit.At t = 0,the circuit has the maximum current of 0.50A. What is the voltage across the capacitor at that time?

A)0 V
B)15 V
C)25 V
D)49 V

Question 45

An LRC oscillator circuit consists of a 1.00 mH inductor and a 100 nF capacitor.What resistance is necessary for the decay rate of the circuit (the 1/e value)to be equal to the oscillation period?

A)50.0 $\varOmega$
B)31.8 $\varOmega$
C)26.4 $\varOmega$
D)15.9 $\varOmega$
E)8.91 $\varOmega$

Question 46

If the peak current in a standard light bulb running on 110 V AC power is 0.72 A,what is the average power drawn by the bulb?

A)56 W
B)80 W
C)110 W
D)40 W

Question 47

You are given three series RL circuits: circuit A has resistance R/2,inductance L;circuit B has resistance R,inductance L;and circuit C has resistance 2R and inductance L.Rank in order from largest to smallest quality factors,Q_A,Q_B, and Q_C for the resonant frequency 5 MHz.

A)Q_A > Q_B > Q_C
B)Q_c > Q_B > Q_A
C)Q_B > Q_C > Q_A
D)Q_A > Q_C > Q_B

Question 48

Determine the phase constant and the impedance of the RLC circuit shown in the figure when the frequency of the time-varying emf is 1 kHz,where C = 100 $\mu$ F,L = 10 mH,and R = 100 $\varOmega$ .

A)31.5 ^$\circ$
B)58.5 ^$\circ$
C)63 ^$\circ$
D)27 ^$\circ$

Question 49

You wish to build a high pass filter that passes 11 kHz with an output to input ratio of 0.50 and has an impedance of 1.5 k $\varOmega$ at very high frequencies.What capacitor do you need to use?

A)4.3 nF
B)5.6 nF
C)27 nF
D)35 nF

Question 50

A transformer consists of 2000 coils in its primary core to 1000 coils in its secondary core.What is the ratio of power dissipated in the primary to the secondary?

A)0.5
B)0.707
C)1
D)1.414
E)2

Question 51

What is the resonance frequency of the series RLC circuit shown in the figure,where C = 4 $\mu$ F,L = 5 mH,and R = 1 k $\varOmega$ ?

A)226 Hz
B)1.13 kHz
C)33.9 kHz
D)11.3 kHz

Question 52

An LC circuit is driven by an AC source at what frequency if the inductor and capacitor have values of 1.5 mH and 22 nF,respectively,and if the rms voltage across each circuit element is half the supply rms voltage?

A)0.17 MHz
B)0.12 MHz
C)28 kHz
D)20 kHz

Question 53

In the series RLC circuit shown,C = 4 $\mu$ F,L = 5 mH,and R = 1 k $\varOmega$ .What is the maximum current in the circuit if V_peak = 10 V?

A)0.5 mA
B)1 mA
C)10 mA
D)50 mA

Question 54

What is the angular frequency of the oscillation of a series RLC circuit with a resistance of 6 Ω,an inductance of 6 mH,and a capacitance of 6 µF?

A)1.00 * 10² rad/s
B)1.30 * 10³ rad/s
C)5.20 * 10³ rad/s
D)1.23 * 10⁴ rad/s
E)1.23 * 10⁵ rad/s

Question 55

The phase constant between the voltage and the current in an alternating current circuit depends on what parameters?

A)inductive reactance of the circuit
B)capacitive reactance of the circuit
C)resistance of the circuit
D)All are correct.

Question 56

A motor operated on a 120V/60-Hz line uses 850 watt of power and has a 0.87 power factor.The resistance of the motor is

A)12.83 ohms.
B)14.74 ohms.
C)18.95 ohms.
D)23.91 ohms.

Question 57

An ideal transformer contains a primary coil of 200 turns and a secondary coil of 120 turns.The secondary coil drives a current I through an R = 1-k $\varOmega$ resistor.If an input V_rms = 75 V is applied across the primary coil,how much power is dissipated in the resistor,R?

A)4 W
B)0.5 W
C)1 W
D)2 W

Question 58

What is the peak current in a standard 75 W light bulb intended to be run on 110 V AC power?

A)0.68 A
B)1.5 A
C)0.96 A
D)1.4 A
E)0.48 A

Question 59

An RLC series circuit is driven by an AC source consists of an inductor,capacitor and resistor having values of 1.5 mH,1.0 $\mu$ F,and 1.9 k $\varOmega$ ,respectively.At what frequency is the rms voltage across the resistor half the source rms voltage?

A)3.0 * 10² Hz
B)48 Hz
C)2.2 MHz
D)0.35 MHz
E)More than one answer is correct.

Question 60

You are given three series RL circuits: circuit A has resistance R/2,inductance L;circuit B has resistance R,inductance L;and circuit C has resistance 2R and inductance L.Rank in order from smallest to largest quality factors,Q_A,Q_B, and Q_C for the resonant frequency 5 MHz.

A)Q_A < Q_B < Q_C
B)Q_c < Q_B < Q_A
C)Q_B < Q_C < Q_A
D)Q_A < Q_C < Q_B

Question 61

Which of these statements are true about series RLC circuits: i.The instantaneous value of the current is the same everywhere in the circuit.
ii.The voltage drop across the resistor is in phase with the current.
iii.The voltage drop across the capacitor trails the current by 90 degrees.
iv.The voltage drop across the inductance leads the current by 90 degrees.

A)(i)and (iv)are true.
B)(i),(iii),and (iv)are true.
C)(ii),(iii),and (iv)are true.
D)None are true.
E)All are true.

Question 62

A transformer with 300 turns on its primary coil and 30 turns on its secondary coil is designed to deliver an average power of 600 W with a peak voltage of 24 V.What is the peak current in the primary coil?

A)2.5 A
B)5.0 A
C)7.5 A
D)10.0 A
E)15.0 A

Question 63

A transformer has 1000 turns in its primary coil and 10000 in its secondary coil.If the primary is connected to a 12000-V alternating voltage,the voltage at the secondary will be

A)12 V.
B)120 V.
C)1200 V.
D)12,000 V.
E)120,000 V.

Question 64

A series circuit contains a 240- $\varOmega$ resistor,a 3.8- $\mu$ F capacitor,and a 550-mH inductor.It is placed across the terminals of an ac generator with a frequency of f=100 Hz.If the rms current measured in the circuit is 353.5 mA,what is the rms voltage of the generator?

A)88.7 V
B)250 V
C)1.7 * 10⁴ V
D)2.25 V
E)110 V

Question 65

A series LRC circuit is driven by an ideal sinusoidal AC voltage generator with a peak emf of 12 V.If L = 30.0 mH,R = 200 ohms,and C = 0.040 mF,what is the average power dissipated in the resistor if the circuit is driven at the resonance frequency?

A)0.016 W
B)0.21 W
C)0.36 W
D)0.72 W
E)770 W

Question 66

A series LRC circuit is driven by an ideal sinusoidal AC voltage generator with a peak emf of 12 V.If L = 30.0 mH,R = 200 ohms,and C = 0.040 mF,what is the average power dissipated in the resistor if the circuit is driven at a frequency equal to ten times the resonance frequency?

A)0.013 W
B)0.016 W
C)0.21 W
D)0.36 W
E)0.72 W

Question 67

What is the current i in the circuit shown?

A)0.015 A
B)34.0 A
C)0.00023 A
D)0.11 A
E)43 * 10⁶ A

Question 68

An RLC circuit is shown where R = 79.0 $\varOmega$ ,L = 35.0 mH,and C = 65.0 $\mu$ F.These components are connected to an alternating current power supply operating with an angular frequency of $\omega$ .What is the value of $\omega$ (in rad/s)so that the resistor dissipates the most possible energy?

A)663.0
B)828.7
C)1035.9
D)1294.9
E)1618.6

Question 69

Consider an series LCR circuit,consisting of a 20-micro Farad capacitance,a 10-milli-Henry inductance,and a 23-Ohm resistor.This circuit is fed by a sinusoidally alternating emf with an amplitude of 2.4 V.What is the maximum instantaneous current in the circuit at a frequency f = 50 Hz?

A)0.015 A
B)0.63 A
C)2.4 A
D)39.2 A
E)110 A

Question 70

Consider a series LCR circuit,consisting of a 20-micro Farad capacitance,a 10-milli-Henry inductance,and a 23-Ohm resistor.This circuit is fed by a sinusoidal alternating emf with an amplitude of 2.4 V.What is the resonant frequency?

A)3910 Hz
B)1.2 Hz
C)356 Hz
D)454 Hz
E)110 Hz

Question 71

At what frequency in Hz is the current through the circuit shown a maximum?

A)1230
B)78
C)64
D)92 * 10⁴
E)20

Question 72

An ideal 14-mF capacitor is connected in series with an ideal 6.0-mH inductor.The peak current in the wires between the capacitor and the inductor is 0.30A. What is the total electrical energy in this circuit?

A)2.7 * 10^-4 J
B)5.4 * 10^-4 J
C)1.1 * 10^-3 J
D)4.6 * 10^-3 J

Question 73

An LRC circuit is running at it's resonance frequency with 250 volts rms what is the current through the resistor if R = 500 ohms,L = 60 H,and C = 0.2 micro-Farads?

A)0.5 mA
B)0.5 A
C)2.5 A
D)2.5 mA
E)40 A

Question 74

An AC power supply puts out a voltage V = 170sin(2 $\pi$ 60t)and is connected to a resistor R = 20 Ω.What is the power in W dissipated in the resistor?

A)100
B)310
C)720
D)1000
E)2000

Question 75

We desire to make a circuit which resonates at 100 Hz using an inductance L = 2.5 H.The value of the capacitance should be

A)1
B)1 mF.
C)1 µF.
D)1 pF
E)You need to know the value of R.

Question 76

In the circuit shown,R = 100 W,L = 50 mH,C = 10 mF,and the ideal AC emf source has a peak voltage of 120V.What angular frequency $\omega$ should be used to produce the largest current in the resistor?

A)6.3 rad/s
B)22 rad/s
C)45 rad/s
D)2000 rad/s
E)13000 rad/s

Question 77

You have an LRC circuit with resistor R = 100 $\varOmega$ capacitance C = 1.9 nF,and inductance L = 47 mH.What is the characteristic impedance when the circuit is at its resonant frequency?

A)0 $\varOmega$
B)194 $\varOmega$
C)91 $\varOmega$
D)100 $\varOmega$
E)110 $\varOmega$

Question 78

For the RLC circuit shown,which of the following statements is correct?

A)The current is constant independent of f.
B)The power dissipated in the resistor is minimum at the resonant frequency.
C)The current can only flow counter-clockwise.
D)The current through the inductor is maximum at the resonant frequency.
E)The current through the capacitor is minimum at the resonant frequency.