Question 1

A 0.150-kW lamp is plugged into a 120-V ac wall outlet. What are (a)the peak current through the lamp, (b)the rms current through the lamp, and (c)the resistance of the lamp?

Accepted Answer

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Question 2

If the maximum voltage of an ac signal is 8.0 V, what is the rms value of this voltage?

Accepted Answer

The rms value of an ac signal is equal to its maximum value divided by the square root of 2. So, in this case, the rms value would be 8.0 V / sqrt(2) = 5.7 V. Therefore, the best choice is B.

Question 3

A 0.10-?F capacitor is connected to a 120-V rms 60-Hz source.
(a)What is its capacitive reactance?
(b)What is the rms current to the capacitor?
(c)If both the capacitance and the frequency were doubled, what would be the rms current?

Accepted Answer

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Question 4

What is the peak voltage in an ac circuit where the rms voltage is 120 V?

Accepted Answer

The peak voltage (V_peak) in an AC circuit is calculated from the RMS voltage (V_rms) using the formula V_peak = V_rms * sqrt(2). For an RMS voltage of 120 V, the peak voltage is 120 V * sqrt(2) ≈ 170 V.

Question 5

The current through a 50-Ω resistor is I = (0.80A)sin(240t), where t is measured in seconds. How much power on average is dissipated in the resistor?

Accepted Answer

The average power dissipated in a resistor, when the current is sinusoidal, is given by $P_{avg} = \frac{1}{2}I_{rms}^2R$, where $I_{rms}$ is the root mean square of the current and $R$ is the resistance. For a sinusoidal current $I = I_0 \sin(\omega t)$, $I_{rms} = \frac{I_0}{\sqrt{2}}$. Here, $I_0 = 0.80 A$, so $I_{rms} = \frac{0.80 A}{\sqrt{2}}$. Plugging into the formula for average power, $P_{avg} = \frac{1}{2}(\frac{0.80}{\sqrt{2}})^2 \times 50 = 16 W$.

Question 6

At what frequency does a 10-?F capacitor have a reactance of 0.12 k??

Accepted Answer

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Question 7

A 0.200-H inductor is connected to a 60.0-Hz 120-V rms source.
(a)What is the inductive reactance?
(b)What is the rms current to the inductor?
(c)If both the inductance and the frequency were doubled, what would be the rms current?

Accepted Answer

The answer of A 0.200-H inductor is connected to a...

Question 8

A 120-V rms voltage is applied across a 6.0-μF capacitor. If the frequency of the generator is 60 Hz, what is the rms value of the current in the circuit?

Accepted Answer

The rms current in a capacitive circuit is given by $I_{rms} = V_{rms} \times \omega C$, where $V_{rms}$ is the rms voltage, $\omega$ is the angular frequency ($\omega = 2\pi f$, with $f$ being the frequency), and $C$ is the capacitance. Given $V_{rms} = 120\,V$, $C = 6.0\,\mu F = 6.0 \times 10^{-6}\,F$, and $f = 60\,Hz$, we find $\omega = 2\pi \times 60$. Thus, $I_{rms} = 120 \times 2\pi \times 60 \times 6.0 \times 10^{-6} = 0.27\,A$.

Question 9

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

Accepted Answer

Capacitive reactance is given by $$X_C=\frac{1}{2\pi fC}$$Substituting the given values, we get:$$X_C=\frac{1}{2\pi (60 	ext{ Hz})(6.0 \mu 	ext{F})}=440 \Omega$$

Question 10

The reactance of a capacitor is $4.0 \mathrm { k } \Omega$ at a frequency of $0.60 \mathrm { kHz }$ What is the capacitance?

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Question 11

A 120-V rms voltage at 60.0 Hz is applied across an inductor, capacitor and a 100-Ω resistor in series. If the maximum value of the current in this circuit is 1.60 A, what is the rms value of the current in this circuit?

Accepted Answer

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Question 12

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed $16 \mathrm {~V}$ What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

Accepted Answer

The answer of An alternating current is supplied to an...

Question 13

The current through a 50-Ω resistor is I = (0.80A)sin(240t), where t is measured in seconds. What is the rms current?

Accepted Answer

The formula for calculating the rms current for an AC circuit is Irms = Ipeak/√2. In this case, the peak current is 0.8 A. Thus, 
Irms = (0.8 A)/√2 ≈ 0.57 A. Therefore, the best choice is A.

Question 14

A 150-W lamp is placed into a 120-V ac outlet. What is the peak current?

Accepted Answer

To find the peak current, we need to use the formula:

Peak current (I) = (power (P) / voltage (V)) x √2

Substituting the given values, we get:

I = (150 / 120) x √2
I = 1.25 x 1.414
I = 1.7675 A

Rounding off to the nearest tenth, we get:

I = 1.8 A

Therefore, the answer is D.

Question 15

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

Accepted Answer

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

Question 16

What capacitance will have the same reactance as a 100-mH inductance of both of them are in a 120-V 60-Hz circuit?

Accepted Answer

The answer of What capacitance will have the same reactance...

Question 17

In the circuit shown in the figure, the 60-Hz ac source has a voltage amplitude of 120 V, the capacitive reactance is $820 \Omega ,$ the inductive reactance is $330 \Omega$ and the resistance is $550 \Omega$ What is the capacitance C of the capacitor?

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Question 18

The potential applied to a 20-? resistor is (60 V)cos(33t). What is the average power consumed in the resistor?

Accepted Answer

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Question 19

A 10-Ω resistor is connected to a 120-V ac power supply. What is the peak current through the resistor?

Accepted Answer

First, we need to find the RMS current using the formula:

Irms = Vrms / R

Vrms is obtained by dividing the peak voltage by the square root of 2:

Vrms = Vpeak / sqrt(2) = 120 / sqrt(2) = 84.85 V

Then, we can calculate Irms:

Irms = Vrms / R = 84.85 / 10 = 8.485 A

Finally, we can use the relationship between peak current and RMS current for a sinusoidal waveform:

Ipeak = Irms * sqrt(2)

Ipeak = 8.485 * sqrt(2) = 12 A

Therefore, the answer is B.

Question 20

The capacitive reactance of a 44-?F capacitor in an ac circuit is 6.0 × $10 ^ { 2 }$ ?. What is the frequency of the applied signal?

Accepted Answer

The answer of The capacitive reactance of a 44-?F capacitor...

Quiz 26: Ac Electricity

A 0.150-kW lamp is plugged into a 120-V ac wall outlet. What are (a)the peak current through the lamp, (b)the rms current through the lamp, and (c)the resistance of the lamp?

If the maximum voltage of an ac signal is 8.0 V, what is the rms value of this voltage?

A 0.10-?F capacitor is connected to a 120-V rms 60-Hz source. (a)What is its capacitive reactance? (b)What is the rms current to the capacitor? (c)If both the capacitance and the frequency were doubled, what would be the rms current?

What is the peak voltage in an ac circuit where the rms voltage is 120 V?

The current through a 50-Ω resistor is I = (0.80A) sin(240t) , where t is measured in seconds. How much power on average is dissipated in the resistor?

At what frequency does a 10-?F capacitor have a reactance of 0.12 k??

A 0.200-H inductor is connected to a 60.0-Hz 120-V rms source. (a)What is the inductive reactance? (b)What is the rms current to the inductor? (c)If both the inductance and the frequency were doubled, what would be the rms current?

A 120-V rms voltage is applied across a 6.0-μF capacitor. If the frequency of the generator is 60 Hz, what is the rms value of the current in the circuit?

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

The reactance of a capacitor is $4.0 \mathrm { k } \Omega$ at a frequency of $0.60 \mathrm { kHz }$ What is the capacitance?

A 120-V rms voltage at 60.0 Hz is applied across an inductor, capacitor and a 100-Ω resistor in series. If the maximum value of the current in this circuit is 1.60 A, what is the rms value of the current in this circuit?

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed $16 \mathrm {~V}$ What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

The current through a 50-Ω resistor is I = (0.80A) sin(240t) , where t is measured in seconds. What is the rms current?

A 150-W lamp is placed into a 120-V ac outlet. What is the peak current?

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

What capacitance will have the same reactance as a 100-mH inductance of both of them are in a 120-V 60-Hz circuit?

The potential applied to a 20-? resistor is (60 V)cos(33t). What is the average power consumed in the resistor?

A 10-Ω resistor is connected to a 120-V ac power supply. What is the peak current through the resistor?

The capacitive reactance of a 44-?F capacitor in an ac circuit is 6.0 × $10 ^ { 2 }$ ?. What is the frequency of the applied signal?

Quiz 26: Ac Electricity

A 0.150-kW lamp is plugged into a 120-V ac wall outlet. What are (a)the peak current through the lamp, (b)the rms current through the lamp, and (c)the resistance of the lamp?

If the maximum voltage of an ac signal is 8.0 V, what is the rms value of this voltage?

A 0.10-?F capacitor is connected to a 120-V rms 60-Hz source. (a)What is its capacitive reactance? (b)What is the rms current to the capacitor? (c)If both the capacitance and the frequency were doubled, what would be the rms current?

What is the peak voltage in an ac circuit where the rms voltage is 120 V?

The current through a 50-Ω resistor is I = (0.80A) sin(240t) , where t is measured in seconds. How much power on average is dissipated in the resistor?

At what frequency does a 10-?F capacitor have a reactance of 0.12 k??

A 0.200-H inductor is connected to a 60.0-Hz 120-V rms source. (a)What is the inductive reactance? (b)What is the rms current to the inductor? (c)If both the inductance and the frequency were doubled, what would be the rms current?

A 120-V rms voltage is applied across a 6.0-μF capacitor. If the frequency of the generator is 60 Hz, what is the rms value of the current in the circuit?

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

The reactance of a capacitor is 4.0kΩ4.0 \mathrm { k } \Omega4.0kΩ at a frequency of 0.60kHz0.60 \mathrm { kHz }0.60kHz What is the capacitance?

A 120-V rms voltage at 60.0 Hz is applied across an inductor, capacitor and a 100-Ω resistor in series. If the maximum value of the current in this circuit is 1.60 A, what is the rms value of the current in this circuit?

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed 16 V16 \mathrm {~V}16 V What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

The current through a 50-Ω resistor is I = (0.80A) sin(240t) , where t is measured in seconds. What is the rms current?

A 150-W lamp is placed into a 120-V ac outlet. What is the peak current?

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

What capacitance will have the same reactance as a 100-mH inductance of both of them are in a 120-V 60-Hz circuit?

In the circuit shown in the figure, the 60-Hz ac source has a voltage amplitude of 120 V, the capacitive reactance is 820Ω,820 \Omega ,820Ω, the inductive reactance is 330Ω330 \Omega330Ω and the resistance is 550Ω550 \Omega550Ω What is the capacitance C of the capacitor?

The potential applied to a 20-? resistor is (60 V)cos(33t). What is the average power consumed in the resistor?

A 10-Ω resistor is connected to a 120-V ac power supply. What is the peak current through the resistor?

The capacitive reactance of a 44-?F capacitor in an ac circuit is 6.0 × 10210 ^ { 2 }102 ?. What is the frequency of the applied signal?

The reactance of a capacitor is $4.0 \mathrm { k } \Omega$ at a frequency of $0.60 \mathrm { kHz }$ What is the capacitance?

An alternating current is supplied to an electronic component with a rating that the voltage across it can never, even for an instant, exceed $16 \mathrm {~V}$ What is the highest rms voltage that can be supplied to this component while staying below the voltage limit?

The capacitive reactance of a 44-?F capacitor in an ac circuit is 6.0 × $10 ^ { 2 }$ ?. What is the frequency of the applied signal?