Starting from for a series circuit

PHYSICS · Subjective · CBSE · Physics · Alternating Current · Alternating Current

Problem

Starting from

Z^{2}=R^{2}+\bigl(\omega L-1/(\omega C)\bigr)^{2}

for a series

LCR

circuit, show that the current amplitude becomes maximum at angular frequency

\omega_{0}=1/\sqrt{LC}