$\mathrm{V}=50 \sqrt{2} \sin 100 \mathrm{t}$ volt
$\mathrm{X}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}=\frac{1}{100 \times 20 \times 10^{-6}}=500 \Omega$
$\mathrm{Z}=\sqrt{\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}\right)^2+\mathrm{R}^2}$
$\sqrt{(100-500)^2+300^2}$
$\mathrm{Z}=500 \Omega$
$\mathrm{i}_{\text {ms }}=\frac{\mathrm{V}_{\text {ms }}}{\mathrm{Z}}=\frac{50}{500}=0.1 \mathrm{~A}$
$\text { rms voltage across capacitor }$
$\mathrm{V}_{\text {ms }}=\mathrm{X}_{\mathrm{C}} \mathrm{i}_{\mathrm{mms}}$
$=500 \times 0.1=50 \mathrm{~V}$
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