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.
Calculating the impedance of the circuit.
____(1)
That's,
Where, is the potential difference accross .
Now putting the values in eqn (1), we get inpedance
Such that, and are connected in series so,
As the power factor
Henry
is the value of inductance.