Question 1

Current leads in a series RLC circuitW ith more capacitive reactance than inductive reactance.

Accepted Answer

In a series RLC circuit with more capacitive reactance than inductive reactance, the circuit is said to be capacitive dominant. This means that the current leads the voltage in phase.

Question 2

In a resonant circuit, as Q increases the bandwidth decreases.

Accepted Answer

This is because bandwidth is inversely proportional to Q, as given by the equation BW = f0/Q, where BW is the bandwidth, f0 is the resonant frequency, and Q is the quality factor. As Q increases, the denominator of this equation increases, leading to a decrease in bandwidth.

Question 3

$$\text { Figure } 13 < 1$$
-To operate the circuit in Figure 13-1 at resonance, ________ the resistance and ________ the frequency.
A)decrease, decrease
B)donʹt change, increase
C)increase, increase
D)donʹt change, decrease

Accepted Answer

To operate the circuit at resonance, we want to minimize the overall resistance in the circuit. Therefore, we should not change the resistance (D) and instead decrease the frequency until it matches the resonant frequency of the circuit.

Question 4

At resonance, X_C equals X_L .

Accepted Answer

At resonance, the capacitive and inductive reactances cancel out, leaving only the resistance. Therefore, X_C and X_L become equal.

Question 5

$$\text { Figure } 13 < 1$$
-If frequency increases in Figure 13-1, the impedance ________ and the current ________.
A)decreases, decreases
B)increases, increases
C)decreases, increases
D)increases, decreases

Accepted Answer

In Figure 13-1, the impedance is represented by the vertical distance between the two parallel lines, and as the frequency increases, this impedance increases. According to Ohm's Law, I = V/Z, where I is the current, V is the voltage, and Z is the impedance. Therefore, if the impedance increases and the voltage remains constant, the current must decrease. Therefore, the correct answer is that the impedance increases and the current decreases. This is represented by choice D.

Question 6

The capacitor's resistive effects are significant when considering the  Q  of an RLC circuit.

Accepted Answer

The answer of The capacitor's resistive effects are significant when...

Question 7

The total impedance equals the resistance of a resonant series RLC circuit.

Accepted Answer

In a resonant series RLC circuit, the total impedance is equal to the resistance at resonance. This is because at resonance, the reactance of the inductor and capacitor cancel each other out, leaving only the resistance.

Question 8

A series RLC circuit can be configured for band-pass or band-stop filtering purposes.

Accepted Answer

A series RLC circuit can be designed to selectively allow a range of frequencies to pass through the circuit while blocking others, thus acting as a band-pass filter. It can also be designed to block a specific range of frequencies while allowing others to pass through, which would make it a band-stop filter.

Question 9

A resonant RLC circuit is said to be very selective if its  Q  is very low.

Accepted Answer

A resonant RLC circuit is said to be very selective if its Q is very high, not very low. A high Q value means that the circuit has a narrow bandwidth and can selectively filter out frequencies near the resonant frequency.

Question 10

At resonance, a parallel RLC circuit is inductive.

Accepted Answer

At resonance, a parallel RLC circuit becomes purely resistive, not inductive.

Question 11

The true power of an RLC circuit depends on the value of resistance.

Accepted Answer

The value of resistance in an RLC circuit determines the quality factor, damping ratio, and resonant frequency, which can greatly impact the circuit's behavior and performance. So, the true power of an RLC circuit does depend on the value of resistance.

Question 12

At resonance, a parallel RLC circuit is capacitive.

Accepted Answer

At resonance, the reactances of the inductor and capacitor cancel each other out, resulting in a purely resistive circuit. Therefore, the circuit is neither capacitive nor inductive at resonance.

Question 13

$$\text { Figure } 13 < 1$$
-If the resistance increases in Figure 13-1, the impedance ________.
A)becomes zero
B)remains the same
C)increases
D)decreases

Accepted Answer

In Figure 13-1, the impedance is equal to the sum of the resistance and the reactance. If the resistance increases, the total impedance will also increase because the reactance remains constant.

Question 14

$$\text { Figure } 13 < 1$$ -As the frequency approaches the resonant frequency in Figure 13-1 , the V_R __________ A) becomes increasingly unstable B) increases C) remains the same D) decreases

Accepted Answer

As the frequency approaches the resonant frequency, the voltage across the series resonant circuit (V_R) increases due to the impedance of the circuit reaching its minimum value, allowing maximum current to flow, which in turn increases the voltage across components like inductors or capacitors that are reactive.

Question 15

At resonance, a series RLC circuit has maximum current.

Accepted Answer

At resonance, the reactance of the inductor and capacitor are equal and opposite, which cancels each other out, allowing maximum current to flow through the circuit. Therefore, the statement is true.

Question 16

$$\text { Figure } 13 < 1$$
-Find the voltage across the capacitor in Figure 13-1.
A)10.7V
B)0.633V
C)-4.9V
D)5.37V

Accepted Answer

The answer of 
$$\text { Figure } 13 < 1$$
-Find...

Question 17

A highly selective filter has a veryW ide bandwidth.

Accepted Answer

A highly selective filter allows only a narrow range of frequencies to pass through, thus it has a narrow bandwidth.

Question 18

At resonance, the impedance of a series RLC circuit equals its resistance.

Accepted Answer

At resonance, the reactive components cancel each other out, resulting in only the resistance remaining. This means that the impedance of the circuit is equal to its resistance.

Question 19

In a series resonant circuit, the impedance is minimum and the current is maximum.

Accepted Answer

In a series resonant circuit, the impedance is minimum at resonance frequency, which allows maximum current to flow through the circuit.

Question 20

In a parallel resonant circuit, the impedance is minimum and the line current is maximum.

Accepted Answer

In a parallel resonant circuit, the impedance is maximum and the line current is minimum.

Quiz 13: Rlc Circuits and Resonance

Current leads in a series RLC circuitW ith more capacitive reactance than inductive reactance.

In a resonant circuit, as Q increases the bandwidth decreases.

At resonance, X_C equals X_L .

$\text { Figure } 13 < 1 -If frequency increases in Figure 13-1, the impedance and the current . A) decreases, decreases B) increases, increases C) decreases, increases D) increases, decreases$ $\text { Figure } 13 < 1$ -If frequency increases in Figure 13-1, the impedance and the current .

The capacitor's resistive effects are significant when considering the Q of an RLC circuit.

The total impedance equals the resistance of a resonant series RLC circuit.

A series RLC circuit can be configured for band-pass or band-stop filtering purposes.

A resonant RLC circuit is said to be very selective if its Q is very low.

At resonance, a parallel RLC circuit is inductive.

The true power of an RLC circuit depends on the value of resistance.

At resonance, a parallel RLC circuit is capacitive.

$\text { Figure } 13 < 1 -If the resistance increases in Figure 13-1, the impedance . A) becomes zero B) remains the same C) increases D) decreases$ $\text { Figure } 13 < 1$ -If the resistance increases in Figure 13-1, the impedance .

At resonance, a series RLC circuit has maximum current.

$\text { Figure } 13 < 1 -Find the voltage across the capacitor in Figure 13-1. A) 10.7V B) 0.633V C) -4.9V D) 5.37V$ $\text { Figure } 13 < 1$ -Find the voltage across the capacitor in Figure 13-1.

A highly selective filter has a veryW ide bandwidth.

At resonance, the impedance of a series RLC circuit equals its resistance.

In a series resonant circuit, the impedance is minimum and the current is maximum.

In a parallel resonant circuit, the impedance is minimum and the line current is maximum.

Quiz 13: Rlc Circuits and Resonance

Current leads in a series RLC circuitW ith more capacitive reactance than inductive reactance.

In a resonant circuit, as Q increases the bandwidth decreases.

Figure 13<1\text { Figure } 13 < 1 Figure 13<1 -To operate the circuit in Figure 13-1 at resonance, ________ the resistance and ________ the frequency.

At resonance, XC equals XL .

Figure 13<1\text { Figure } 13 < 1 Figure 13<1 -If frequency increases in Figure 13-1, the impedance ________ and the current ________.

The capacitor's resistive effects are significant when considering the Q of an RLC circuit.

The total impedance equals the resistance of a resonant series RLC circuit.

A series RLC circuit can be configured for band-pass or band-stop filtering purposes.

A resonant RLC circuit is said to be very selective if its Q is very low.

At resonance, a parallel RLC circuit is inductive.

The true power of an RLC circuit depends on the value of resistance.

At resonance, a parallel RLC circuit is capacitive.

Figure 13<1\text { Figure } 13 < 1 Figure 13<1 -If the resistance increases in Figure 13-1, the impedance ________.

Figure 13<1\text { Figure } 13 < 1 Figure 13<1 -As the frequency approaches the resonant frequency in Figure 13-1 , the VR __________

At resonance, a series RLC circuit has maximum current.

Figure 13<1\text { Figure } 13 < 1 Figure 13<1 -Find the voltage across the capacitor in Figure 13-1.

A highly selective filter has a veryW ide bandwidth.

At resonance, the impedance of a series RLC circuit equals its resistance.

In a series resonant circuit, the impedance is minimum and the current is maximum.

In a parallel resonant circuit, the impedance is minimum and the line current is maximum.

At resonance, X_C equals X_L .

$\text { Figure } 13 < 1 -If frequency increases in Figure 13-1, the impedance and the current . A) decreases, decreases B) increases, increases C) decreases, increases D) increases, decreases$ $\text { Figure } 13 < 1$ -If frequency increases in Figure 13-1, the impedance and the current .

$\text { Figure } 13 < 1 -If the resistance increases in Figure 13-1, the impedance . A) becomes zero B) remains the same C) increases D) decreases$ $\text { Figure } 13 < 1$ -If the resistance increases in Figure 13-1, the impedance .

$\text { Figure } 13 < 1 -Find the voltage across the capacitor in Figure 13-1. A) 10.7V B) 0.633V C) -4.9V D) 5.37V$ $\text { Figure } 13 < 1$ -Find the voltage across the capacitor in Figure 13-1.