A capacitor (C) and resistor (R) are connected in series with an ac source of voltage of frequency . The potential difference across C and R are respectively
. and the current in the circuit is
. Calculate (i) the impedance of the circuit (ii) the value of the inductance, which when connected in series with C and R will make the power factor of the circuit unity.
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Calculating the impedance of the circuit.
That's,
Now putting the values in eqn (1), we get inpedance
Such that,
and 
are connected in series so,
As the power factor