Question 1

A 6.0-μF 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 $$X_C=\frac{1}{2\pi fC}$$where f is the frequency and C is the capacitance. Plugging in the given values, we get:$$X_C=\frac{1}{2\pi (60 Hz)(6.0 \mu F)}=440 \Omega$$

Question 2

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

The answer of A 120-V rms voltage at 60.0 Hz...

Question 3

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?

Accepted Answer

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

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

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

Accepted Answer

To find the peak current, we need to use the formula Ip=Vp/R where Ip is the peak current, Vp is the peak voltage (which is the RMS voltage multiplied by the square root of 2), and R is the resistance. 
In this case, R=10 Ω and Vp=120 V x sqrt(2) = 169.7 V. 
Therefore, Ip=169.7 V / 10 Ω = 16.97 A, which is closest to option B) 17 A.

Question 6

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

Accepted Answer

The peak current can be found using the formula I_p = P/V_p, where P is the power in watts and V_p is the peak voltage. In this case, P = 150 W and V_p = 120 V × sqrt(2) ≈ 170 V. Therefore, I_p = 150/170 ≈ 0.88 A, which is closest to choice D, 1.8 A.

Question 7

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 8

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 9

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

Accepted Answer

The answer of The potential applied to a 20-Ω resistor...

Question 10

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 11

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

Accepted Answer

The answer of The capacitive reactance of a 44-μF capacitor...

Question 12

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 13

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

The answer of A 0.150-kW lamp is plugged into a...

Question 14

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

Accepted Answer

The answer of The reactance of a capacitor is \(4.0...

Question 15

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

Accepted Answer

The RMS (root mean square) current can be found by taking the square root of the average of the square of the current over one period. Since the current given is sinusoidal, one period is 1/60 seconds. So, I^2 = (0.80^2) sin^2(240t) Integrating that from 0 to 1/60 and dividing by 1/60: = (1/60) * (0.80^2/2) = 0.00733 Taking the square root: Irms = sqrt() = sqrt(0.00733) = 0.57 A

Question 16

A 0.10-μF 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

The answer of A 0.10-μF capacitor is connected to a...

Question 17

The current through a 50-Ω resistor is I = (0.80 A) 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 18

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 19

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 the maximum voltage divided by the square root of 2. Therefore, the rms value of this signal is (8.0 V)/sqrt(2) = 5.7 V.

Question 20

At what frequency does a 10-μF capacitor have a reactance of 0.12 kΩ?

Accepted Answer

The answer of At what frequency does a 10-μF capacitor...

Quiz 26: AC Electricity

A 6.0-μF 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?

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?

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

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

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

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?

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?

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

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

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

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 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?

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

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

A 0.10-μF 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?

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

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

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

At what frequency does a 10-μF capacitor have a reactance of 0.12 kΩ?

Quiz 26: AC Electricity

A 6.0-μF 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?

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?

In the circuit shown in the figure, the 60-Hz ac source has a voltage amplitude of 120 V, the capacitive reactance is 820Ω820 \Omega820Ω the inductive reactance is 330Ω330 \Omega330Ω and the resistance is 550Ω550 \Omega550Ω What is the capacitance C of the capacitor?

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

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

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

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?

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?

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

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

The capacitive reactance of a 44-μF capacitor in an ac circuit is 6.0 × 10210^2102 Ω. What is the frequency of the applied signal?

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 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?

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?

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

A 0.10-μF 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?

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

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

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

At what frequency does a 10-μF capacitor have a reactance of 0.12 kΩ?

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-μF capacitor in an ac circuit is 6.0 × $10^2$ Ω. 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?