A coil of resistance and inductance is connected in series with a capacitor across a

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Problem

A coil of resistance

50\,\Omega

and inductance

0.50\,\text{H}

is connected in series with a capacitor across a

230\,\text{V}

50\,\text{Hz}

mains supply. To make the circuit operate at unity power factor, the required capacitance is closest to (a)

5\,\mu\text{F}

(b)

40\,\mu\text{F}

(c)

20\,\mu\text{F}

(d)

10\,\mu\text{F}