A $25$ nF capacitor is connected in parallel with a coil of resistance $2000$ ohm and inductance $0\mathrm{.}20$ H across a $100$V$,4000$ Hz supply. Determine $($a$)$ the current in the coil, $($b$)$ the current in the capacitor, $($c$)$ the supply current and its phase angle $($by drawing a phasor diagram to scale, and also by calculation$),($d$)$ the circuit impedance and $($e$)$ the power consumed.