Question

For a series RLC circuit, excited by voltage V = 20 sinωt. The values of R = 2 Ω, L = 1mH and C = 0.4 µF. The quality factor and bandwidth of the circuit is ______________

(a) 25, 2

(b) 30, 5

(c) 40, 10

(d) 50, 2

I have been asked this question in homework.

The above asked question is from Advanced Problems on Resonance in division Resonance & Magnetically Coupled Circuit of Network Theory

Answer 1

Correct answer is (a) 25, 2

The explanation is: We know that, the bandwidth is, B = w2 – w1 = 2 krad/s

Also, B = \(\frac{R}{L} = \frac{2}{10^{-3}}\) = 2 krad/s

Also, the quality factor is given by, Q = \(\frac{w_0}{B}\)

Or, Q = \(\frac{w_0}{B} = \frac{50}{2}\) = 25.