Question

A sinusoidal voltage of peak value 10 V is applied to a series LCR circuit in which resistance, capacitance and inductance have values of 10 Ω, 1μF and 1H respectively. Find 

(i) the peak voltage across the inductor at resonance 

(ii) quality factor of the circuit.

Answer 1

I₀ = V₀/R = 10/10 = 1 A

ωr = 1/√LC = 1/√ (1 x 1 x 10^-6) = 10³ rad/s

V₀ = I₀ X_L = I₀ ωr L

= 1 x 10³ x 1 = 103 V

Q = ωr L/R

= (10³ x 1)/10 = 100