Question

An RLC series circuit has R = 100 ohms, C = 25 µF, and L = 0.16 H. For what angular
frequency of an ac voltage is the current flow maximum?

Answer 1

In an RLC series circuit for maximum current to flow through the circuit. The capacitive reactance$(X_C)$ should be equal to the inductive reactance $(X_L)$ . This condition is called the Resonance.

Therefore we have,

$X_L = X_C$

$L\omega = \frac{1}{C\omega}$

$\space\space\space\space \space\space \omega^2 = \frac{1}{LC}$

$\omega= \frac{1}{25\times10^{-6}\times0.16}$

$\omega=500\space rad/sec$