Question

A series combination of an inductor (L), capacitor (C) and a resistor (R) is connected across an ac source of emf of peak value E₀ and angular frequency (\(\omega\)). Plot a graph to show variation of impedance of the circuit with angular frequency (\(\omega\)).

Answer 1

\(Z = \sqrt{R^2 + \left(\omega L - \frac{1}{\omega C}\right)^2} \)

At \(\omega = \omega_{R}{^,} = \frac{1}{\sqrt{LC}},\)   Z = R