Question

What do you mean by electrical resonance? An LC circuit is in a condition of resonance. If C$=1.0\times {10}^{-6}$F and L$=0.25$H, then find the frequency of oscillation of the circuit.

Answer 1

Electrical resonance is defined as the condition when the magnitude of capacitive reactance becomes equal to that of inductive reactance. As a result of resonance, maximum current flows through the RLC circuit.
Given : $C=1.0\times {10}^{-6}F$, $L=0.25H$
At resonance, frequency of oscillation $\nu =\frac{1}{2\pi \sqrt{LC}}$
$\therefore$ $\nu =\frac{1}{2\pi \sqrt{0.25\times 1.0\times {10}^{-6}}}=318.5Hz$