Question

A series LCR circuit is designed to resonate at an angular frequency $\omega _{0}=10^{5}rads^{- 1}$ . The circuit draws $16\,W$ power from $120\,V$ source at resonance. The value of resistance $R$ in the circuit is _____ $\Omega$ .

Answer 1

$P=\frac{V^{2}}{R}$
$16=\frac{120^{2}}{R}\Rightarrow R=\frac{14400}{16}$
$\Rightarrow R=900\,\Omega$