Question 1

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. 
-Determine the frequency of the generator.

Accepted Answer

C

Question 2

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. 
-Identify the circuit element.

Accepted Answer

D

Question 3

Three 4.0-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit?

Accepted Answer

D

Question 4

What is the capacitive reactance of a circuit comprised of a 65.0-µF capacitor and a 50.0-Hz generator?

Accepted Answer

The capacitive reactance $X_c$ is calculated using the formula $X_c = \frac{1}{2\pi f C}$. Substituting $f = 50.0$ Hz and $C = 65.0 \times 10^{-6}$ F, we get $X_c \approx 49.0 \, \Omega$.

Question 5

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. 
-Determine the rms current through this element.

Accepted Answer

The answer of The graph shows the voltage across and...

Question 6

A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?

Accepted Answer

The answer of A variable capacitor is connected to an...

Question 7

The reactance of a capacitor in a circuit at 110 Hz is 35 $\varOmega$. Determine the capacitance.

Accepted Answer

The answer of The reactance of a capacitor in a...

Question 8

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. 
-What is the reactance of this element?

Accepted Answer

The answer of The graph shows the voltage across and...

Question 9

An ac voltage source that has a frequency f is connected across the ends of an inductor. Which one of the following statements correctly indicates the effect on the inductive reactance when the frequency is increased to 2f?

Accepted Answer

The inductive reactance (X_L) is given by the formula X_L = 2πfL, where f is the frequency and L is the inductance. When the frequency is doubled to 2f, the inductive reactance also doubles.

Question 10

Which one of the following graphs shows how the inductive reactance varies with frequency?

Accepted Answer

The answer of Which one of the following graphs shows...

Question 11

A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. When the same circuit is driven by an ac generator, the current is non-zero and alternates. Which combination of elements is most likely to comprise the circuit?

Accepted Answer

A capacitor blocks direct current (DC) after it is fully charged, resulting in zero current with a battery. However, it allows alternating current (AC) to pass through, as the current can alternate and charge/discharge the capacitor.

Question 12

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. 
-Determine the rms voltage across this element.

Accepted Answer

The answer of The graph shows the voltage across and...

Question 13

An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 $\varOmega$.

Accepted Answer

The capacitive reactance $X_c$ is given by $X_c = \frac{1}{2\pi f C}$. Solving for $f$, $f = \frac{1}{2\pi X_c C}$. Substituting $X_c = 375 \, \varOmega$ and $C = 3.25 \times 10^{-6} \, \text{F}$, we find $f \approx 131 \, \text{Hz}$.

Question 14

A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?

Accepted Answer

The answer of A variable inductor is connected to an...

Question 15

When the frequency of an ac circuit is decreased, the current in the circuit increases. Which combination of elements is most likely to comprise the circuit?

Accepted Answer

The answer of When the frequency of an ac circuit...

Question 16

Two 3.25-µF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244 V. Determine the rms current in the circuit.

Accepted Answer

The answer of Two 3.25-µF capacitors are connected in series...

Question 17

Which one of the following graphs illustrates how capacitive reactance varies with frequency?

Accepted Answer

The answer of Which one of the following graphs illustrates...

Question 18

An ac voltage source that has a frequency f is connected across the terminals of a capacitor. Which one of the following statements correctly indicates the effect on the capacitive reactance when the frequency is increased to 4f?

Accepted Answer

The capacitive reactance is given by Xc = 1/(2πfC), where f is the frequency and C is the capacitance. When the frequency is increased to 4f, the capacitive reactance decreases by a factor of 4, according to the formula. Therefore, the correct option is E).

Question 19

The current in a certain ac circuit is independent of the frequency at a given voltage. Which combination of elements is most likely to comprise the circuit?

Accepted Answer

The fact that the current is independent of frequency suggests that the circuit has a purely resistive characteristic. This is because the impedance of an ideal resistor does not vary with frequency. Therefore, option A) is the most likely choice as it includes only resistors.

Question 20

Which circuit elements act to oppose changes in the current in an ac circuit?

Accepted Answer

Only inductors act to oppose changes in current in an AC circuit through the property of inductance. Inductors resist changes in current by generating a counter electromotive force that opposes the change in current. Resistors dissipate energy and do not resist changes in current. Capacitors store and release energy, but do not actively resist changes in current.

Quiz 23: Alternating Current Circuits

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the frequency of the generator.

Three 4.0-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit?

What is the capacitive reactance of a circuit comprised of a 65.0-µF capacitor and a 50.0-Hz generator?

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms current through this element.

A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?

The reactance of a capacitor in a circuit at 110 Hz is 35 $\varOmega$ . Determine the capacitance.

An ac voltage source that has a frequency f is connected across the ends of an inductor. Which one of the following statements correctly indicates the effect on the inductive reactance when the frequency is increased to 2f?

Which one of the following graphs shows how the inductive reactance varies with frequency?

A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. When the same circuit is driven by an ac generator, the current is non-zero and alternates. Which combination of elements is most likely to comprise the circuit?

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms voltage across this element.

An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 $\varOmega$ .

A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?

When the frequency of an ac circuit is decreased, the current in the circuit increases. Which combination of elements is most likely to comprise the circuit?

Two 3.25-µF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244 V. Determine the rms current in the circuit.

Which one of the following graphs illustrates how capacitive reactance varies with frequency?

An ac voltage source that has a frequency f is connected across the terminals of a capacitor. Which one of the following statements correctly indicates the effect on the capacitive reactance when the frequency is increased to 4f?

The current in a certain ac circuit is independent of the frequency at a given voltage. Which combination of elements is most likely to comprise the circuit?

Which circuit elements act to oppose changes in the current in an ac circuit?

Quiz 23: Alternating Current Circuits

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the frequency of the generator.

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Identify the circuit element.

Three 4.0-µF capacitors are connected in parallel across the terminals of a 60.0-Hz generator. What is the capacitive reactance of the circuit?

What is the capacitive reactance of a circuit comprised of a 65.0-µF capacitor and a 50.0-Hz generator?

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms current through this element.

A variable capacitor is connected to an ac source. What effect does decreasing the capacitance have on the reactance and current in this circuit?

The reactance of a capacitor in a circuit at 110 Hz is 35 Ω\varOmegaΩ . Determine the capacitance.

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -What is the reactance of this element?

An ac voltage source that has a frequency f is connected across the ends of an inductor. Which one of the following statements correctly indicates the effect on the inductive reactance when the frequency is increased to 2f?

Which one of the following graphs shows how the inductive reactance varies with frequency?

A battery is used to drive a circuit. After a certain amount of time, the current is zero amperes. When the same circuit is driven by an ac generator, the current is non-zero and alternates. Which combination of elements is most likely to comprise the circuit?

The graph shows the voltage across and the current through a single circuit element connected to an ac generator. -Determine the rms voltage across this element.

An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 Ω\varOmegaΩ .

A variable inductor is connected to an ac source. What effect does increasing the inductance have on the reactance and current in this circuit?

When the frequency of an ac circuit is decreased, the current in the circuit increases. Which combination of elements is most likely to comprise the circuit?

Two 3.25-µF capacitors are connected in series across the terminals of a 50.0-Hz ac generator that has a peak voltage of 244 V. Determine the rms current in the circuit.

Which one of the following graphs illustrates how capacitive reactance varies with frequency?

An ac voltage source that has a frequency f is connected across the terminals of a capacitor. Which one of the following statements correctly indicates the effect on the capacitive reactance when the frequency is increased to 4f?

The current in a certain ac circuit is independent of the frequency at a given voltage. Which combination of elements is most likely to comprise the circuit?

Which circuit elements act to oppose changes in the current in an ac circuit?

The reactance of a capacitor in a circuit at 110 Hz is 35 $\varOmega$ . Determine the capacitance.

An ac generator is connected across the terminals of a 3.25-µF capacitor. Determine the frequency at which the capacitive reactance is 375 $\varOmega$ .