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Q5. A capacitor connected in series with a resistor is tested on 240 V 50 Hz and the current is found to be 3.6 A. When the frequency is raised to 100 Hz the current increases to 4.8 A.

Determine EACH of the following:

(a) The values of the resistor and the capacitor;

(b) The power factor of the circuit at 50 Hz;

(c) The value of an inductor which, when connected in series with the pair, will give the same current of 3.6 A at 50 Hz but with a lagging power factor equal to the value obtained in part (b).