Physics - EMI/AC Question with Solution | TestHub

$\begin{array}{rl}& {\mathrm{X}}_{\mathrm{L}}=\omega \mathrm{L}=100\times 1=100\Omega \\ & {\mathrm{X}}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}=\frac{1}{100\times 20\times 10^{-6}}=500\Omega \\ & \mathrm{Z}=\sqrt{{\left({\mathrm{X}}_{\mathrm{L}}-{\mathrm{X}}_{\mathrm{C}}\right)}^2+{\mathrm{R}}^2}\\ & \sqrt{(100-500{)}^2+300^2}\\ & \mathrm{Z}=500\Omega \\ & {\mathrm{i}}_{\text{rms }}=\frac{{\mathrm{V}}_{\text{rms }}}{\mathrm{Z}}=\frac{50}{500}=0.1\mathrm{A}\\ & \text{ rms voltage across capacitor }\\ & {\mathrm{V}}_{\text{rms }}={\mathrm{X}}_{\mathrm{C}}{\mathrm{i}}_{\text{rms }}\\ & =500\times 0.1=50\mathrm{V}\end{array}$