Question

In the circuit given below, the resonant frequency is ________________

(a) (frac{1}{2πsqrt{3}}) Hz

(b) (frac{1}{4πsqrt{3}}) Hz

(c) (frac{1}{4πsqrt{2}}) Hz

(d) (frac{1}{πsqrt{2}}) Hz

Answer 1

Correct choice is (b) (frac{1}{4πsqrt{3}}) Hz

The explanation is: LEFF = L1 + L2 + 2M

= 2 + 2 + 2 × 1

Or, LEFF = 6 H

At resonance, ωL = (frac{1}{ωC})

Or, ω = (frac{1}{sqrt{L_{EFF} C}} = frac{1}{sqrt{12}})

Or, I = (frac{1}{4πsqrt{3}}) Hz.