A resistor of is connected in series with an unknown capacitor to a (rms), AC source

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A resistor of

20\,\Omega

is connected in series with an unknown capacitor to a

200\,\text{V}

(rms),

50\,\text{Hz}

AC source. The circuit draws an rms current of

4.0\,\text{A}

and the real power consumed is

320\,\text{W}

. Calculate the capacitance of the capacitor.