A series CR circuit with $\mathit{R}=200\mathit{\Omega }$ and $\mathit{C}=\left(50∕\mathit{\pi }\right)$ $\mathit{\mu }\mathrm{F}$ is connected across an ac source of peak voltage ${\mathit{\epsilon }}_0,=100\mathrm{V}$ and frequency $\mathrm{v}=50\mathrm{Hz}$. Calculate (a) impedance of the circuit $\left(\mathit{Z}\right),\left(\mathit{b}\right)$ phase angle $\left(\mathit{\varphi }\right)$, and (c) voltage across the resistor.