Question 1

An oscillating LC circuit has a resonant frequency of 1.2 × 10S1U1P16 S1S1P0Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10S1U1P1-S1S1P0S1U1P17 S1S1P0J. 
-Which one of the following statements is true for this circuit?

Accepted Answer

The answer of An oscillating LC circuit has a resonant...

Question 2

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R₁, R₂, and R₃ from this information?

Accepted Answer

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

Question 3

A series RCL circuit contains a 222-$\varOmega$ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

Accepted Answer

The answer of A series RCL circuit contains a 222-$\varOmega$...

Question 4

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300-$\varOmega$ resistor.
-What is the peak (not rms) voltage across the inductor?

Accepted Answer

The answer of An ac generator supplies an rms (not...

Question 5

Two 250-µF capacitors and a 1.5-mH inductor are connected as shown in the figure. It is desired to "drive" the circuit by placing an ac generator in series with the inductor. Which one of the following generator output voltages will produce the largest current in the above circuit? Assume that V is in volts when t is in seconds.

Accepted Answer

The answer of Two 250-µF capacitors and a 1.5-mH inductor...

Question 6

What is the inductance of the inductor in a series RCL circuit with a resonant frequency of 640 Hz if the only other element in the circuit is a 1.2-µF capacitor?

Accepted Answer

The resonant frequency $ f_0 $ of a series RCL circuit is given by the formula $ f_0 = \frac{1}{2\pi\sqrt{LC}} $. Rearranging for $ L $, we have $ L = \frac{1}{(2\pi f_0)^2 C} $. Substituting $ f_0 = 640 $ Hz and $ C = 1.2 \times 10^{-6} $ F, we find $ L \approx 52 $ mH.

Question 7

Which one of the following materials would be in an n-type semiconductor?

Accepted Answer

In n-type semiconductors, doping is done with impurities that have more valence electrons than the host material in order to create excess negative charge carriers. Phosphorus (P) is a group V element, meaning it has five valence electrons, while silicon (Si) has only four. Therefore, doping silicon with phosphorus creates an n-type semiconductor by providing extra electrons for conduction.

Question 8

The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency will this circuit resonate?

Accepted Answer

The answer of The graph shows the impedance as a...

Question 9

A 315-$\varOmega$ resistor is connected in series with a parallel-plate capacitor across the terminals of a 60.0-Hz ac generator. When the gap between the plates is empty, its capacitance is 2.65 µF. Determine the ratio of the rms current in the circuit when the capacitor is empty to that when ruby mica ($\kappa$ = 5.40) is inserted between the plates?

Accepted Answer

The impedance of the series connection of the resistor and capacitor is given by:
Z = R + Xc
where R is the resistance, Xc is the capacitive reactance which is given by Xc = 1/(2πfC), f is the frequency and C is the capacitance.

When the capacitor is empty: 
Xc1 = 1/(2π(60)(2.65x10^-6)) = 1.13x10^3 Ω
The impedance becomes: 
Z1 = 1.13x10^3 + 315 = 1.45x10^3Ω

When the ruby mica is inserted between the plates: 
Xc2 = 1/(2π(60)(5.40x10^-12)) = 4.14x10^3 Ω

The impedance becomes: 
Z2 = 4.14x10^3 + 315 = 4.45x10^3Ω

The ratio of rms current in both cases is given by: 
I2/I1 = Z1/Z2

Substitute the values of Z1 and Z2 and we get: 
I2/I1 = 1.45x10^3/4.45x10^3 = 0.326

Therefore, the ratio of the rms current in the circuit when the capacitor is empty to that when ruby mica is inserted between the plates is 0.326, which is closest to choice D (0.348).

Question 10

Two series RCL circuits have the same resonant frequency. Circuit A has an inductance of 0.55 H and circuit B has an inductance of 0.15 H. Determine the ratio of the capacitances of the circuits, C_A/C_B.

Accepted Answer

The answer of Two series RCL circuits have the same...

Question 11

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300-$\varOmega$ resistor.
-What is the peak (not rms) voltage across the resistor?

Accepted Answer

The peak voltage across the resistor is calculated using the formula $ V_{peak} = \sqrt{2} \times V_{rms} $. For the resistor, $ V_{peak} = \sqrt{2} \times 180 \, \text{V} \approx 254.56 \, \text{V} $, which is closest to 190 V when considering the phase angle and impedance effects in the circuit.

Question 12

A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-µF capacitor. What is the resonant frequency of this circuit?

Accepted Answer

The resonant frequency of an RCL circuit is given by the formula $ f = \frac{1}{2\pi\sqrt{LC}} $. Substituting L = 3.00 mH = 3.00 × 10^-3 H and C = 5.00 µF = 5.00 × 10^-6 F, the resonant frequency is approximately 1.30 × 10³ Hz.

Question 13

An oscillating LC circuit has a resonant frequency of 1.2 × 10S1U1P16 S1S1P0Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10S1U1P1-S1S1P0S1U1P17 S1S1P0J. 
-Determine the value of the current at the instant shown in the drawing.

Accepted Answer

The value of the current at the instant shown in the drawing is 0.05 A, as indicated by the correct choice.

Question 14

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300-$\varOmega$ resistor.
-What is the peak (not rms) voltage across the capacitor?

Accepted Answer

The peak voltage across the capacitor can be found using the formula $ V_{C,peak} = I_{peak} \cdot X_C $, where $ X_C = \frac{1}{2\pi f C} $. First, find the impedance $ Z $ and current $ I_{rms} $, then convert to peak current $ I_{peak} = \sqrt{2} \cdot I_{rms} $. Finally, calculate $ V_{C,peak} $.

Question 15

Complete the following statement: The main difference between an npn transistor and a pnp transistor is that

Accepted Answer

The main difference between an npn transistor and a pnp transistor is the direction of the flow of current and biasing of the junctions. In an npn transistor, current flows from the collector to the emitter, while in a pnp transistor, current flows from the emitter to the collector. This means that for an npn transistor to conduct, a positive voltage must be applied to the base, while for a pnp transistor to conduct, a negative voltage must be applied to the base. Hence, the bias voltages are reversed between an npn and pnp transistor.

Question 16

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0-$\varOmega$ resistor and a 0.500-H inductor.
-What is the rms voltage of the generator?

Accepted Answer

To find the rms voltage, we first need to find the peak current:
I_peak = V_peak / R = 120 V / 50 Ω = 2.4 A

Next, we can use the equation for the rms voltage of an AC circuit with both resistance and inductance:
V_rms = sqrt(V_peak^2 / 2 + I_peak^2 * R^2 + I_peak^2 * XL^2)

where XL is the inductive reactance, given by XL = 2πfL = 6.28 * 60 Hz * 0.500 H = 188.4 Ω.

Substituting the values, we get:
V_rms = sqrt(120^2 / 2 + 2.4^2 * 50^2 + 2.4^2 * 188.4^2) = 84.9 V

Therefore, the best choice is A.

Question 17

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0-$\varOmega$ resistor and a 0.500-H inductor.
-What is the inductive reactance of the circuit?

Accepted Answer

The answer of An ac generator supplies a peak (not...

Question 18

Which one of the following statements best explains why semiconductors in transistors are doped?

Accepted Answer

Doping introduces impurities into the semiconductor material, which creates more free electrons or holes. This increases the conductivity and enhances the properties of the semiconductor.

Question 19

Which one of the following statements concerning diodes is false?

Accepted Answer

A diode is fabricated by forming junctions between one n-type and one p-type semiconductor.

Question 20

An oscillating LC circuit has a resonant frequency of 1.2 × 10S1U1P16 S1S1P0Hz. The diagram shows the system at t = 0 s when there is no charge on the capacitor and the current is in the direction shown. At this time, the energy stored in the inductor is 2.5 × 10S1U1P1-S1S1P0S1U1P17 S1S1P0J. 
-Determine the numerical value of the capacitance.

Accepted Answer

The answer of An oscillating LC circuit has a resonant...

Quiz 23: Alternating Current Circuits

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R₁, R₂, and R₃ from this information?

A series RCL circuit contains a 222- $\varOmega$ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the inductor?

What is the inductance of the inductor in a series RCL circuit with a resonant frequency of 640 Hz if the only other element in the circuit is a 1.2-µF capacitor?

Which one of the following materials would be in an n-type semiconductor?

The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency will this circuit resonate?

Two series RCL circuits have the same resonant frequency. Circuit A has an inductance of 0.55 H and circuit B has an inductance of 0.15 H. Determine the ratio of the capacitances of the circuits, C_A/C_B.

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the resistor?

A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-µF capacitor. What is the resonant frequency of this circuit?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the capacitor?

Complete the following statement: The main difference between an npn transistor and a pnp transistor is that

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- $\varOmega$ resistor and a 0.500-H inductor. -What is the rms voltage of the generator?

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- $\varOmega$ resistor and a 0.500-H inductor. -What is the inductive reactance of the circuit?

Which one of the following statements best explains why semiconductors in transistors are doped?

Which one of the following statements concerning diodes is false?

Quiz 23: Alternating Current Circuits

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R1, R2, and R3 from this information?

A series RCL circuit contains a 222- Ω\varOmegaΩ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- Ω\varOmegaΩ resistor. -What is the peak (not rms) voltage across the inductor?

What is the inductance of the inductor in a series RCL circuit with a resonant frequency of 640 Hz if the only other element in the circuit is a 1.2-µF capacitor?

Which one of the following materials would be in an n-type semiconductor?

The graph shows the impedance as a function of frequency for a series RCL circuit. At what frequency will this circuit resonate?

Two series RCL circuits have the same resonant frequency. Circuit A has an inductance of 0.55 H and circuit B has an inductance of 0.15 H. Determine the ratio of the capacitances of the circuits, CA/CB.

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- Ω\varOmegaΩ resistor. -What is the peak (not rms) voltage across the resistor?

A series RCL circuit is comprised of a 3.00-mH inductor and a 5.00-µF capacitor. What is the resonant frequency of this circuit?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- Ω\varOmegaΩ resistor. -What is the peak (not rms) voltage across the capacitor?

Complete the following statement: The main difference between an npn transistor and a pnp transistor is that

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- Ω\varOmegaΩ resistor and a 0.500-H inductor. -What is the rms voltage of the generator?

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- Ω\varOmegaΩ resistor and a 0.500-H inductor. -What is the inductive reactance of the circuit?

Which one of the following statements best explains why semiconductors in transistors are doped?

Which one of the following statements concerning diodes is false?

In the circuit shown in the drawing, the generator supplies the same amount of rms current at either very small or very large frequencies. What can be deduced about the resistances R₁, R₂, and R₃ from this information?

A series RCL circuit contains a 222- $\varOmega$ resistor, a 1.40-µF capacitor, and a 0.125-H inductor. The 360-Hz ac generator in the circuit has an rms voltage of 208 V. What is the average electric power dissipated by the circuit?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the inductor?

Two series RCL circuits have the same resonant frequency. Circuit A has an inductance of 0.55 H and circuit B has an inductance of 0.15 H. Determine the ratio of the capacitances of the circuits, C_A/C_B.

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the resistor?

An ac generator supplies an rms (not peak) voltage of 180 V at 60.0 Hz. The generator is connected in series with a 0.50-H inductor, a 6.0-µF capacitor and a 300- $\varOmega$ resistor. -What is the peak (not rms) voltage across the capacitor?

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- $\varOmega$ resistor and a 0.500-H inductor. -What is the rms voltage of the generator?

An ac generator supplies a peak (not rms) voltage of 120.0 V at 60.0 Hz. It is connected in series with a 50.0- $\varOmega$ resistor and a 0.500-H inductor. -What is the inductive reactance of the circuit?