Question 1

The power dissipated in an RLC series circuit is dependent upon:
A) the impedance
B) the capacitive reactance
C) the inductive reactance
D) the resistance

Accepted Answer

The power dissipated in an RLC series circuit is dependent on the resistance, as it is the only element that generates heat and consumes power. The capacitive and inductive reactances do not dissipate power but rather store and release it. The impedance, while a factor in determining the power dissipated, does not have a direct impact on it.

Question 2

As frequency is varied in an RLC series circuit,resonance is reached when
A) the impedance becomes zero.
B) the inductive reactance is equal to the capacitive reactance.
C) the sum of the inductive and capacitive reactances is equal to the resistance.
D) the capacitive reactance is equal to the resistance.
E) the inductive reactance is equal to the resistance.

Accepted Answer

At resonance, the inductive reactance and capacitive reactance cancel each other out, resulting in a total impedance of just the resistance. Therefore, the inductive reactance is equal to the capacitive reactance.

Question 3

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the capacitor be equal to that across the inductor?
A) 94 kHz
B) 15 kHz
C) 68 kHz
D) 426 kHz

Accepted Answer

The answer of If an AC circuit consists of a...

Question 4

The current in an RLC circuit when driven at resonance depends on
A) the resonance frequency.
B) the resistance.
C) the inductive reactance.
D) the capacitive reactance.
E) More than one of these choices are correct.

Accepted Answer

The answer of The current in an RLC circuit when...

Question 5

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the inductor be?
A) 5.4 V
B) 11.80 V
C) 6.6 V
D) 0.20 V

Accepted Answer

The impedance of the circuit is given by the formula:
Z = sqrt(R^2 + (XL - XC)^2)
where R = 0 (since it is not given)
XL = 2πfL = 2π(55 kHz)(220 mH) = 76.96 Ω (inductive reactance)
XC = 1/(2πfC) = 1/(2π(55 kHz)(25 pF)) = 115.27 Ω (capacitive reactance)
Plugging the values into the formula, we get:
Z = sqrt((0)^2 + (76.96 Ω - 115.27 Ω)^2) = 71.86 Ω
The rms voltage drop across the inductor can then be calculated using Ohm's law:
V = IZ, where I = V/Z
I = 12 V / 71.86 Ω = 0.167 A
V = (0.167 A)(76.96 Ω) = 12.86 V
Therefore, the rms voltage drop across the inductor is approximately 6.6 V.

Question 6

As frequency is varied in an RLC series circuit,resonance is reached when A) the voltages V_R,V_L and V_C all become equal. B) the voltages V_L and V_C become zero. C) the voltage V_R becomes equal to the source voltage. D) None of the choices are correct.

Accepted Answer

At resonance in an RLC series circuit, the inductive reactance (XL) and capacitive reactance (XC) cancel each other out, making the total impedance purely resistive. This means the voltage across the resistor (VR) becomes equal to the source voltage, as the voltages across the inductor (VL) and capacitor (VC) effectively cancel each other out.

Question 7

If an AC circuit consists of a 220 mH inductor in series with a 75 k$\Omega$ resistor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the resistor be equal to that across the inductor?
A) 114 kHz
B) 5.5 kHz
C) 875 Hz
D) 18 kHz

Accepted Answer

The answer of If an AC circuit consists of a...

Question 8

If an AC circuit consists of a 220 mH inductor in series with a 75 k$\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?
A) 7.0 V
B) 2.6 V
C) 9.4 V
D) 5.0 V

Accepted Answer

The answer of If an AC circuit consists of a...

Question 9

A 25 nH inductor is in an AC circuit whose generator has an rms voltage of 12 V.At what frequency must the generator drive the circuit if the rms current is to be 2.0 mA?
A) 0.15 MHz
B) 38 GHz
C) 0.96 MHz
D) 240 GHz

Accepted Answer

The answer of A 25 nH inductor is in an...

Question 10

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the capacitor be?
A) 5.4 V
B) 0.20 V
C) 6.6 V
D) 11.80 V

Accepted Answer

The capacitive reactance (Xc) is much larger than the inductive reactance (Xl) at 55 kHz, leading to a higher voltage drop across the capacitor.

Question 11

The power factor of an RLC series circuit _______ at resonance.
A) is one
B) has a value that depends upon the ratio of inductive reactance to impedance
C) has a value that depends upon the ratio of capacitive reactance to impedance
D) is zero

Accepted Answer

The answer of The power factor of an RLC series...

Question 12

If an AC circuit consists of a 220 mH inductor in series with a 75 k$\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the resistor?
A) 7.0 V
B) 9.4 V
C) 2.6 V
D) 5.0 V

Accepted Answer

The rms voltage drop across the resistor is given by:$$V_{rms} = I_{rms} * R$$where:$$I_{rms} = \frac{V_{rms}}{Z}$$and:$$Z = \sqrt{R^2 + X_L^2}$$where:$$X_L = 2\pi f L$$Substituting the given values into these equations, we get:$$I_{rms} = \frac{12 V}{\sqrt{(75 k\Omega)^2 + (2\pi * 25 kHz * 220 mH)^2}} = 1.6 mA$$$$V_{rms} = 1.6 mA * 75 k\Omega = 7.0 V$$Therefore, the rms voltage drop across the resistor is 7.0 V.

Question 13

In an RLC series circuit,which of the following statements is true?
A) The current is in phase with the voltage across the inductor.
B) The current is in phase with the voltage across the resistor.
C) The current is in phase with the voltage across the capacitor.
D) None of the choices are true.

Accepted Answer

In an RLC series circuit, the current is in phase with the voltage across the resistor. This is because the resistor dissipates energy in the form of heat and there is no energy stored in it like in the capacitor or the inductor. Therefore, the phase angle between current and voltage across the resistor is zero. However, in the inductor and capacitor, the energy is stored in the magnetic field and electric field respectively, resulting in a phase angle between the current and voltage. Therefore, options A and C are incorrect. Option D is also incorrect as option B is true.

Quiz 21: Alternating Current

The power dissipated in an RLC series circuit is dependent upon:

As frequency is varied in an RLC series circuit,resonance is reached when

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the capacitor be equal to that across the inductor?

The current in an RLC circuit when driven at resonance depends on

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the inductor be?

As frequency is varied in an RLC series circuit,resonance is reached when

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the resistor be equal to that across the inductor?

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

A 25 nH inductor is in an AC circuit whose generator has an rms voltage of 12 V.At what frequency must the generator drive the circuit if the rms current is to be 2.0 mA?

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the capacitor be?

The power factor of an RLC series circuit _______ at resonance.

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the resistor?

In an RLC series circuit,which of the following statements is true?

Quiz 21: Alternating Current

The power dissipated in an RLC series circuit is dependent upon:

As frequency is varied in an RLC series circuit,resonance is reached when

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the capacitor be equal to that across the inductor?

The current in an RLC circuit when driven at resonance depends on

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the inductor be?

As frequency is varied in an RLC series circuit,resonance is reached when

If an AC circuit consists of a 220 mH inductor in series with a 75 k Ω\OmegaΩ resistor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the resistor be equal to that across the inductor?

If an AC circuit consists of a 220 mH inductor in series with a 75 k Ω\OmegaΩ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

A 25 nH inductor is in an AC circuit whose generator has an rms voltage of 12 V.At what frequency must the generator drive the circuit if the rms current is to be 2.0 mA?

If an AC circuit consists of a 220 mH inductor in series with a 25 pF capacitor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 55 kHz,what will the rms voltage drop across the capacitor be?

The power factor of an RLC series circuit _______ at resonance.

If an AC circuit consists of a 220 mH inductor in series with a 75 k Ω\OmegaΩ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the resistor?

In an RLC series circuit,which of the following statements is true?

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.At what frequency will the rms voltage drop across the resistor be equal to that across the inductor?

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the inductor?

If an AC circuit consists of a 220 mH inductor in series with a 75 k $\Omega$ resistor and an AC generator with rms voltage of 12 V.If the frequency of the generator is 25 kHz,what is the rms voltage drop across the resistor?