(Solved): a) A circuit consisting of a 20 ohm resistor, \( 20 \mathrm{mH} \) inductor and a \( 100 \mathrm{m ...

a) A circuit consisting of a 20 ohm resistor, \( 20 \mathrm{mH} \) inductor and a \( 100 \mathrm{microfarad} \mathrm{capacitor} \) in series is connected to a \( 200 \mathrm{~V} \) d.c supply. Assume that the capacitor is initially uncharged, determine the instantaneous expression for i. circuit current ii. voltage across the resistor iii. voltage across the inductor iv. voltage across the capacitor b) A \( 40 \mathrm{ohm} \) resistor and a 50 microfarad capacitor are connected in series and supplied with an alternating voltage \( v(\mathrm{t})=283 \sin 314 t \). The supply is switched on at the instant when the voltage is zero. Determine the expression for the instantaneous current at time t.