Physics - EMI/AC Question with Solution | TestHub

Impedance of the given LCR circuit will be, $$\begin{gathered} Z=\sqrt{R^2+{\left(X_L-X_C\right)}^2} \\ \Rightarrow Z=\sqrt{{100}^2+{\left(200-100\right)}^2} \end{gathered}$$

$=100\sqrt{2}\Omega$

Therefore, RMS current can be written as,

$I_{rms}=\frac{V_{rms}}{Z}=\frac{200\sqrt{2}}{100\sqrt{2}}$

$=2 \mathrm{A}$