Find the peak current and resonant frequency of the following circuit (as shown in figure).

$\begin{array}{l}{X}_L=\omega L=100\times {10}^{-1}=10\mathrm{\Omega }\\ X_C=\frac{1}{\omega C}=\frac{1}{100\times {10}^{-4}}=100\mathrm{\Omega }\\ Z=\sqrt{{\left(X_C-X_L\right)}^2+R^2}=\sqrt{(90{)}^2+(120{)}^2}=150\mathrm{\Omega }\\ \text{ Peak Current, }{i}_0=\frac{V_0}{Z}=\frac{30}{150}=0.2\mathrm{A}\\ \text{ Resonant Frequency, }{f}_0=\frac{1}{2\pi \sqrt{LC}}=50\mathrm{Hz}\end{array}$