#### Quality Factor mcq

The Quality Factor (Q-factor) of a resonant circuit determines:

a) The efficiency of energy transfer

b) The resistance of the circuit

c) The capacitance of the circuit

d) The inductance of the circuit

Answer: a) The efficiency of energy transfer

Explanation: The Quality Factor (Q-factor) of a resonant circuit is a measure of its energy efficiency and indicates the ratio of energy stored to energy dissipated.

The Q-factor of a resonant circuit is mathematically defined as :

a) Q = R/L

b) Q = L/R

c) Q = R/C

d) Q = C/R

Answer: a) Q = R/L

A higher Q-factor indicates:

a) Higher energy loss

b) Lower energy loss

c) No energy loss

d) None of the above

Answer: b) Lower energy loss

The Q-factor of a resonant circuit is influenced by:

a) Resistance only

b) Inductance only

c) Capacitance only

d) All of the above

Answer: d) All of the above

The bandwidth of a resonant circuit is inversely proportional to its:

a) Q-factor

b) Resistance

c) Inductance

d) Capacitance

Answer: a) Q-factor

A high Q-factor indicates a resonant circuit with:

a) Sharp resonance

b) Broad resonance

c) No resonance

d) None of the above

Answer: a) Sharp resonance

The Q-factor of a series resonant circuit is determined by the:

a) Resistance and inductance

b) Resistance and capacitance

c) Inductance and capacitance

d) Resistance, inductance, and capacitance

Answer: a) Resistance and inductance

The Q-factor of a parallel resonant circuit is determined by the:

a) Resistance and inductance

b) Resistance and capacitance

c) Inductance and capacitance

d) Resistance, inductance, and capacitance

Answer: b) Resistance and capacitance

A resonant circuit with a Q-factor of 100 has a bandwidth of 1 kHz. What is the resonant frequency ?

a) 100 kHz

b) 10 kHz

c) 1 kHz

d) 0.01 kHz

Answer: b) 10 kHz

Explanation : The resonant frequency can be calculated by dividing the bandwidth by the Q-factor. In this case, the resonant frequency is 1 kHz / 100 = 10 kHz.

The Q-factor of an ideal resonant circuit is:

a) Infinite

b) Zero

c) Unity

d) Indeterminate

Answer: a) Infinite

Explanation: In an ideal resonant circuit with no energy loss, the Q-factor is considered infinite.

The Q-factor of a resonant circuit can be increased by:

a) Decreasing the resistance

b) Increasing the resistance

c) Changing the inductance

d) Changing the capacitance

Answer: a) Decreasing the resistance

The Q-factor of a resonant circuit is related to its:

a) Bandwidth

b) Resonant frequency

c) Phase shift

d) All of the aboveAnswer: d) All of the above

The Q-factor of a resonant circuit affects its:

a) Selectivity

b) Gain

c) Stability

d) All of the above

Answer: d) All of the above

A low Q-factor indicates a resonant circuit with:

a) Narrow bandwidth

b) Wide bandwidth

c) No bandwidth

d) Infinite bandwidth

Answer: b) Wide bandwidth

The Q-factor of a resonant circuit is independent of its:

a) Voltage

b) Current

c) Power

d) Frequency

Answer: a) Voltage

Explanation: The Q-factor of a resonant circuit is independent of the voltage across it and is determined by its physical parameters ( resistance , inductance, capacitance).

The Q-factor of a resonant circuit can be thought of as a measure of its:

a) Sensitivity

b) Impedance

c) Bandwidth

d) Efficiency

Answer: d) Efficiency

A resonant circuit with a Q-factor of 50 has a resonance peak at 2 MHz. What is the bandwidth?

a) 40 kHz

b) 80 kHz

c) 100 kHz

d) 200 kHz

Answer: c) 100 kHz

Explanation: The bandwidth can be calculated by dividing the resonant frequency by the Q-factor. In this case, the bandwidth is 2 MHz / 50 = 100 kHz.

The Q-factor of a resonant circuit can be calculated by:

a) Q = ωL/R

b) Q = R/ωL

c) Q = R/ωC

d) Q = ωC/R

Answer: b) Q = R/ωL

Explanation: The Q-factor of a resonant circuit can be calculated by dividing the resistance (R) by the angular frequency (ω) multiplied by the inductance (L).

The Q-factor of a resonant circuit is inversely proportional to its:

a) Resistance

b) Inductance

c) Capacitance

d) Both resistance and inductance

Answer: d) Both resistance and inductance

The Q-factor of a resonant circuit provides information about its:

a) Power factor

b) Energy storage capacity

c) Voltage rating

d) Phase angle

Answer: b) Energy storage capacity