In an RLC circuit, if the resistance is increased, what happens to the quality f

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Question: In an RLC circuit, if the resistance is increased, what happens to the quality factor (Q)? (2021)

Options:

Correct Answer: Decreases

Exam Year: 2021

Solution:

The quality factor Q is inversely proportional to resistance. Increasing resistance decreases Q.

In an RLC circuit, if the resistance is increased, what happens to the quality factor (Q)? (2021)

In an RLC circuit, if the resistance is increased, what happens to the quality factor (Q)? (2021)

Step 1: Understand what an RLC circuit is. It consists of a resistor (R), inductor (L), and capacitor (C).
Step 2: Learn about the quality factor (Q). It measures how underdamped an oscillator or resonator is, and it indicates the sharpness of the resonance peak.
Step 3: Know the relationship between resistance and quality factor. The formula for Q is Q = (1/R) * sqrt(L/C), where R is resistance, L is inductance, and C is capacitance.
Step 4: Observe that in the formula, Q is inversely proportional to R. This means that as R increases, Q decreases.
Step 5: Conclude that if the resistance in the RLC circuit is increased, the quality factor Q will decrease.

Quality Factor (Q) – The quality factor Q of an RLC circuit is a measure of its resonant behavior, defined as the ratio of the resonant frequency to the bandwidth of the circuit. It indicates how underdamped the circuit is.
Resistance in RLC Circuits – In RLC circuits, resistance affects the damping of oscillations. Higher resistance leads to more energy loss, which impacts the quality factor.