Question 1

If you double the frequency in the circuit shown, the inductance of the inductor

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The answer of  If you double the frequency in...

Question 2

At what frequency would the reactance ) of a 10-μF capacitor be 100 Ω?

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The reactance of a capacitor can be calculated using the formula:
Xc = 1 / (2πfC)

where Xc is the reactance in ohms, f is the frequency in hertz, and C is the capacitance in farads.

We are given Xc = 100 Ω and C = 10 μF = 10 × 10^-6 F.

Substituting these values into the formula, we get:
100 = 1 / (2πf × 10 × 10^-6)

Solving for f, we get:
f = 1 / (2π × 100 × 10 × 10^-6) = 159 Hz

Therefore, the answer is B) 159 Hz.

Question 3

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V. The inductive reactance  ) when the frequency is 2.0 kHz is approximately

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The answer of You place a 50-mH inductor across an...

Question 4

A 5-μF capacitor is charged to 30 V and is then connected across a 10-μH inductor. The frequency of oscillation of the energy stored in the electric field of the capacitor and the magnetic field of the inductor is

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The answer of A 5-μF capacitor is charged to 30...

Question 5

For an inductor, the

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For an inductor, the current lags behind the voltage. This is because when voltage is applied across an inductor, it generates an electromagnetic field, which opposes changes in the current flow. As a result, there is a delay between the application of voltage and the buildup of current, causing the current to lag behind the voltage. The phase angle between the current and voltage is generally less than 90 degrees for an inductor.

Question 6

Which of the following statements about a capacitor that is connected to an AC voltage is true?

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The answer of Which of the following statements about a...

Question 7

For a capacitor, the

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For a capacitor, the voltage lags behind the current. This means that the capacitor acts as a reactive element, storing charge and releasing it later, leading to a phase shift where the voltage lags behind the current.

Question 8

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. What is the charge on the capacitor at t = 0.487 ms?

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Question 9

A 5-μF capacitor is charged to 30 V and is then connected across a 10-μH inductor. The maximum value of the energy stored in the electric field of the capacitor is

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The answer of A 5-μF capacitor is charged to 30...

Question 10

Which of the following statements about an inductor that is connected to an AC voltage is true?

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The average power dissipated by an inductor connected to an AC voltage is zero because the energy stored in the magnetic field of the inductor during one half cycle is returned to the circuit during the other half cycle. Option B and C are incorrect because the behavior of the inductor depends on the frequency of the AC voltage. At low frequencies, the inductor behaves like an open circuit, while at high frequencies, it behaves like a short circuit. Option D is also incorrect because the back EMF produced by the inductor is maximum when the voltage is at its peak, not at zero.

Question 11

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V. The inductive reactance  ) when the frequency is 60 Hz is approximately

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The answer of You place a 50-mH inductor across an...

Question 12

If you double the frequency in the circuit shown, the capacitive reactance ) of the circuit

Accepted Answer

The capacitive reactance (Xc) of a circuit is inversely proportional to the frequency of the circuit. Therefore, if the frequency is doubled, the capacitive reactance is halved (decreased by a factor of 2).

Question 13

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. What is the charge on the capacitor at t = 0 s?

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The answer of  The battery has a voltage V...

Question 14

If you place a 40.0-μF capacitor across a generator that has a maximum EMF of 120 V, the capacitive reactance ) when the frequency is 60 Hz is approximately

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The answer of If you place a 40.0-μF capacitor across...

Question 15

At what frequency would the reactance ) of a 1.0-mH inductor be twice the reactance ) of a 10-μF capacitor?

Accepted Answer

The reactance of an inductor is given by $X_L = 2\pi f L$ and the reactance of a capacitor is $X_C = \frac{1}{2\pi f C}$. Setting $X_L = 2X_C$ and solving for $f$ with $L = 1.0 \times 10^{-3}$ H and $C = 10 \times 10^{-6}$ F gives $f \approx 2.2$ kHz.

Question 16

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. Describe the current flow in the right loop.

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The answer of  The battery has a voltage V...

Question 17

If you double the frequency in the circuit shown, the inductive reactance  ) of the inductor

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The answer of  If you double the frequency in...

Question 18

At what frequency would the reactance ) of a 100-pF capacitor be 1000 Ω?

Accepted Answer

Reactance of a capacitor (Xc) is given by Xc=1/(2πfC), where f is the frequency and C is the capacitance.

Given Xc = 1000 Ω and C = 100 pF, we can rearrange the equation to solve for f:

f = 1/(2π Xc C)

f = 1/(2π x 1000 Ω x 100 pF)

f = 1.59 MHz

Therefore, the correct answer is choice C) 1.59 MHz.

Question 19

If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20-μF capacitor, what is the rms current in the circuit neglect any resistance)?

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Question 20

At what frequency is the reactance ) of a 2-mH inductor equal to the reactance ) of a 100-pF capacitor?

Accepted Answer

Reactance of an inductor: XL = 2πfL 
Reactance of a capacitor: XC = 1/(2πfC)

Setting XL equal to XC: 
2πfL = 1/(2πfC)

Simplifying: 
f = 1/(2π√(LC))

Plugging in the given values: 
f = 1/(2π√(2×10^-3×100×10^-12)) = 3.6 × 10^15 Hz = 3.6 × 10^10 kHz = 36 GHz

Therefore, the correct answer is C) 3.6 × 10^10 Hz.

Quiz 21: Alternating-Current Circuits

If you double the frequency in the circuit shown, the inductance of the inductor

At what frequency would the reactance ) of a 10-μF capacitor be 100 Ω?

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V. The inductive reactance ) when the frequency is 2.0 kHz is approximately

A 5-μF capacitor is charged to 30 V and is then connected across a 10-μH inductor. The frequency of oscillation of the energy stored in the electric field of the capacitor and the magnetic field of the inductor is

For an inductor, the

Which of the following statements about a capacitor that is connected to an AC voltage is true?

For a capacitor, the

A 5-μF capacitor is charged to 30 V and is then connected across a 10-μH inductor. The maximum value of the energy stored in the electric field of the capacitor is

Which of the following statements about an inductor that is connected to an AC voltage is true?

You place a 50-mH inductor across an AC generator that has a maximum EMF of 120 V. The inductive reactance ) when the frequency is 60 Hz is approximately

If you double the frequency in the circuit shown, the capacitive reactance ) of the circuit

If you place a 40.0-μF capacitor across a generator that has a maximum EMF of 120 V, the capacitive reactance ) when the frequency is 60 Hz is approximately

At what frequency would the reactance ) of a 1.0-mH inductor be twice the reactance ) of a 10-μF capacitor?

The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 mF. Assume that the inductor and the wires have zero resistance.The switch S was at position a for a long time when it is switched to b. Describe the current flow in the right loop.

If you double the frequency in the circuit shown, the inductive reactance ) of the inductor

At what frequency would the reactance ) of a 100-pF capacitor be 1000 Ω?

If you connect a 12-V rms AC power supply that operates at 5.0 kHz to a 20-μF capacitor, what is the rms current in the circuit neglect any resistance) ?

At what frequency is the reactance ) of a 2-mH inductor equal to the reactance ) of a 100-pF capacitor?