Question

The current / in the given circuit is minimum for angular frequency (w)

Answer 1

ω = √(1/LC - R²/L²)

Answer 2

The current in an AC circuit is minimum when its impedance is maximum. For a parallel RLC circuit, maximum impedance occurs at the condition of parallel resonance, where the imaginary part of the total admittance is zero. By calculating the equivalent admittance of the parallel R-L and C branches and setting its imaginary part to zero, we derive the angular frequency for minimum current.