Question

What is condition for resonance? Derive an expression for resonant frequency of LCR circuit.

Answer 1

Explanation:

The condition for resonance is Xl = Xc

i.e. When inductive reactance = Capacitive reactance

Xl = Xc

wl = 1/wc

w2 = 1/lc

w = 1/ root lc

since w = 2pief

2pief = 1/ root lc

f = 1/2pie lc

where f is resonant frequency.