Question 1

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum current in this circuit after a long time has passed will be
A) 0
B) 8.83 A
C) 15.4 A
D) 21.2 A
E) some value that cannot be determined from the given information.

Accepted Answer

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

Question 2

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$resistor. The potential difference across the capacitor after a long time has passed will be
A) 0
B) 7 V
C) 15 V
D) 30 V
E) some value that cannot be determined from the given information.

Accepted Answer

After a long time, the circuit will reach steady state, which means that the capacitor will act like an open circuit and no current will flow through it. Therefore, the potential difference across the capacitor will be zero.

Question 3

Use the following figure to answer the next problem: 
-The diagram that correctly represents the phase relationship between the current through the resistor and the voltage ACross the capACitor in a circuit containing an inductor L, a capACitor C, and a resistor R all connected in series is
A) 1
B) 2
C) 3
D) 4
E) 5

Accepted Answer

The answer of Use the following figure to answer the...

Question 4

Use the following figure to answer the next problem: 
-The diagram that correctly represents the phase relationship between the current through the resistor and the voltage across the resistor in a circuit containing an inductor L, a capacitor C, and a resistor R all connected in series is
A) 1
B) 2
C) 3
D) 4
E) 5

Accepted Answer

The answer of Use the following figure to answer the...

Question 5

Use the following figure for the next three problems.  The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 $\mu$F. 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?
A) 0.75 $\mu$C
B) 1.33 $\mu$C
C) 48 $\mu$C
D) 72 $\mu$C
E) zero

Accepted Answer

When a switch is moved from position a to b, if the circuit involves charging or discharging a capacitor, the initial charge on the capacitor at the exact moment of switching (t = 0) is determined by its previous state. However, without specific circuit details like voltage source, resistance, or the previous state of the capacitor (charged or discharged), it's impossible to calculate a numerical value for the charge. The options provided seem to contain formatting errors, making them nonsensical. Therefore, without additional context or a clear circuit description, it's not possible to accurately determine the charge on the capacitor at t = 0.487 ms, suggesting a misunderstanding in the question's premise.

Question 6

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 A) 1.41 * 10⁵ Hz B) 7.07 * 10⁴ Hz C) 2.25 *10⁴ Hz D) 3.18 * 10⁹ Hz E) 2.00 * 10¹⁰ Hz

Accepted Answer

The frequency of oscillation for a circuit consisting of a capacitor and an inductor in series is given by:

f = 1 / (2π√(LC))

where L is the inductance in henries and C is the capacitance in farads.

Plugging in the values given in the question, we get:

f = 1 / (2π√(10×10^-6 × 5×10^-6))

f ≈ 2.25 MHz

Note: The options given in the question are in Hz, but the calculated value is in MHz. The option closest to 2.25 MHz is option C, which is 2.25×10^14 Hz (or 225 MHz).

Question 7

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum value of the current in this circuit is
A) 1.41 A
B) 2.25 A
C) 8.73 A
D) 15.4 A
E) 21.2 A

Accepted Answer

The maximum value of current in an LC circuit is given by:
Imax = V / sqrt(LC)
Where V is the initial voltage across the capacitor, L is the inductance, and C is the capacitance.

Substituting the given values, we get:
Imax = 30 V / sqrt(10 µH x 5 µF)
Imax = 21.2 A

Therefore, the answer is E) 21.2 A.

Question 8

A 10-mH inductor has an internal resistance of 10 $\Omega$. The impedance of this inductor for a frequency of 60 Hz is approximately
A) 3.77 $\Omega$
B) 10 $\Omega$
C) 13.8 $\Omega$
D) 10.6 $\Omega$
E) none of these is correct

Accepted Answer

The impedance of the inductor can be calculated as:
Z = √(R^2 + Xl^2) where R is the internal resistance and Xl is the inductive reactance.
Xl = 2πfL where f is the frequency and L is the inductance.
Substituting the given values, we get:
Xl = 2π(60)(10×10^-3) = 3.77 Ω 
Z = √(10^2 + 3.77^2) = 10.6 Ω, approximately.
Therefore, the closest option is C, which is 13.8 Ω.

Question 9

When you close the switch S in the figure, the potential between A and B drops to zero. The current in the top loop does not immediately drop to zero because
A) the top loop has less resistance than the bottom loop.
B) an EMF is generated in the inductor L.
C) an EMF is generated in the resistor R.
D) the current depends only on the resistance in the circuit.
E) Kirchhoff's junction rule states that the current into a junction must equal the current out of the junction.

Accepted Answer

When the switch S is closed, the current in the top loop will start to decrease as the potential difference across the inductor begins to decrease. However, due to the self-inductance of the inductor, an electromotive force (EMF) is generated that opposes the decrease in current. This is described by Lenz's law, which states that the direction of the induced EMF is such that it opposes the change in current that causes it. Therefore, the current in the top loop does not immediately drop to zero, but rather continues to flow as the inductor opposes the change in current.

Question 10

Use the following figure for the next three problems.  The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 $\mu$F. 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?
A) 0.75 $\mu$C
B) 1.33 $\mu$C
C) 48 $\mu$C
D) 72$\mu$C
E) zero

Accepted Answer

The answer of Use the following figure for the next...

Question 11

A 10-mH inductor has a resistance of 10 $\Omega$. Its impedance in an AC circuit is
A) 10$\Omega$
B) 14 $\Omega$
C) 0.10 k$\Omega$
D) 5.0 $\Omega$
E) impossible to tell from the given information.

Accepted Answer

The answer of A 10-mH inductor has a resistance of...

Question 12

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$resistor. The initial current in the circuit will be
A) 0
B) 0.600 A
C) 2.00 A
D) 5.00 A
E) some value that cannot be determined from the given information.

Accepted Answer

The initial current in the circuit can be determined by considering the initial voltage across the capacitor and the total resistance in the circuit. When the capacitor is first connected in series with the inductor and resistor, the inductor's initial reaction to changing current is to resist it (due to its inductance), but this does not affect the initial current calculation, which is based on the immediate response of the circuit. The initial current (I) can be calculated using Ohm's Law, I = V/R, where V is the voltage across the capacitor (30 V) and R is the resistance (10 Ω). Thus, I = 30 V / 10 Ω = 3 A. However, given the choices provided do not match this calculation, it seems there was a misunderstanding in the calculation process. The correct approach involves recognizing the initial conditions and the components involved but seems there was a mistake in the explanation process based on the provided options.

Question 13

An AC power supply, V = V_o sin $ \omega $t, is connected in series to an inductor, capacitor, and resistor. The sum of the peak voltages across the inductor, capacitor and resistor is A) always equal to V_o. B) always less than V_o. C) always greater than V_o. D) not possible to determine. E) none of the above

Accepted Answer

The answer of An AC power supply, V = V_o...

Question 14

A circuit contains a capacitor (C$\mu$F), an inductor (L mH), and an ohmic resistor (R $\Omega$) connected in series. If you change the potential across this series combination, the values that change (if you neglect thermal effects) are
A) C, L, and R.
B) C and R.
C) C and L.
D) R and L.
E) none of these is correct

Accepted Answer

The answer of A circuit contains a capacitor (C$\mu$F), an...

Question 15

The differential equation for this circuit is L dI/dt + Q/C = 0
Because I = dQ/dt, the solution is
A) a wave.
B) a constant current.
C) a simple harmonic oscillation.
D) an exponential decay process.
E) an exponential growth process.

Accepted Answer

The answer of  The differential equation for this circuit...

Question 16

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
A) 0.750 mJ
B) 22.5 mJ
C) 34.7 mJ
D) 45.0 mJ
E) 54.4 mJ

Accepted Answer

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

Question 17

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$resistor. The potential difference across the resistor after a long time has passed will be
A) 0
B) 7 V
C) 15 V
D) 30 V
E) some value that cannot be determined from the given information.

Accepted Answer

After a long time, the circuit will reach a steady state where the inductor acts as a short circuit and the capacitor is fully discharged, resulting in zero potential difference across the resistor.

Question 18

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$resistor. The current in this circuit after a long time has passed will be
A) 0
B) 8.83 A
C) 15.4 A
D) 21.2 A
E) some value that cannot be determined from the given information.

Accepted Answer

After a long time, the capacitor will act like an open circuit, so no current will flow through the circuit.

Question 19

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50-$\Omega$resistor. The potential difference across the inductor after a long time has passed will be
A) 0
B) 7 V
C) 15 V
D) 30 V
E) some value that cannot be determined from the given information.

Accepted Answer

After a long time has passed, the capacitor will be fully discharged and act as an open circuit. Therefore, the circuit reduces to just the inductor and resistor in series. The potential difference across a pure inductor in series with a resistor in a DC circuit is zero, so the answer is 0.

Question 20

Use the following figure for the next three problems.  The battery has a voltage V = 6 V, the inductance of the inductor L = 12 mH and the capacitance of the capacitor C = 8 $\mu$F. 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.
A) There is no current flow in the loop since it is disconnected from the battery.
B) At the instant the switch is at b, the current starts to flow and then decays exponentially.
C) The current flows in a sinusoidal function with frequency  .
D) The current flows in a damped oscillations.
E) none of the above

Accepted Answer

The answer of Use the following figure for the next...

Quiz 9: Alternating-Current Circuits

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum current in this circuit after a long time has passed will be

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor. The potential difference across the capacitor after a long time has passed will be

Use the following figure to answer the next problem: -The diagram that correctly represents the phase relationship between the current through the resistor and the voltage ACross the capACitor in a circuit containing an inductor L, a capACitor C, and a resistor R all connected in series is

Use the following figure to answer the next problem: -The diagram that correctly represents the phase relationship between the current through the resistor and the voltage across the resistor in a circuit containing an inductor L, a capacitor C, and a resistor R all connected in series is

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

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum value of the current in this circuit is

A 10-mH inductor has an internal resistance of 10 $\Omega$ . The impedance of this inductor for a frequency of 60 Hz is approximately

When you close the switch S in the figure, the potential between A and B drops to zero. The current in the top loop does not immediately drop to zero because

A 10-mH inductor has a resistance of 10 $\Omega$ . Its impedance in an AC circuit is

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor. The initial current in the circuit will be

An AC power supply, V = V_o sin $\omega$ t, is connected in series to an inductor, capacitor, and resistor. The sum of the peak voltages across the inductor, capacitor and resistor is

A circuit contains a capacitor (C $\mu$ F) , an inductor (L mH) , and an ohmic resistor (R $\Omega$ ) connected in series. If you change the potential across this series combination, the values that change (if you neglect thermal effects) are

The differential equation for this circuit is L dI/dt + Q/C = 0 Because I = dQ/dt, the solution is

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

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor. The potential difference across the resistor after a long time has passed will be

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor. The current in this circuit after a long time has passed will be

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- $\Omega$ resistor. The potential difference across the inductor after a long time has passed will be

Quiz 9: Alternating-Current Circuits

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum current in this circuit after a long time has passed will be

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- Ω\OmegaΩ resistor. The potential difference across the capacitor after a long time has passed will be

Use the following figure to answer the next problem: -The diagram that correctly represents the phase relationship between the current through the resistor and the voltage ACross the capACitor in a circuit containing an inductor L, a capACitor C, and a resistor R all connected in series is

Use the following figure to answer the next problem: -The diagram that correctly represents the phase relationship between the current through the resistor and the voltage across the resistor in a circuit containing an inductor L, a capacitor C, and a resistor R all connected in series is

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

A 5-µF capacitor is charged to 30 V and is then connected across a 10-µH inductor. The maximum value of the current in this circuit is

A 10-mH inductor has an internal resistance of 10 Ω\OmegaΩ . The impedance of this inductor for a frequency of 60 Hz is approximately

When you close the switch S in the figure, the potential between A and B drops to zero. The current in the top loop does not immediately drop to zero because

A 10-mH inductor has a resistance of 10 Ω\OmegaΩ . Its impedance in an AC circuit is

A 5-µF capacitor is charged to 30 V and is then connected in series with a 10-µH inductor and a 50- Ω\OmegaΩ resistor. The initial current in the circuit will be

An AC power supply, V = Vo sin ω \omega ω t, is connected in series to an inductor, capacitor, and resistor. The sum of the peak voltages across the inductor, capacitor and resistor is

A circuit contains a capacitor (C μ\muμ F) , an inductor (L mH) , and an ohmic resistor (R Ω\OmegaΩ ) connected in series. If you change the potential across this series combination, the values that change (if you neglect thermal effects) are