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Q1. (a) A coil having resistance and inductance is connected to a 240 V, 50 Hz supply and draws a current of 4A at power factor 0.8 lag. Determine EACH of the following:

(i) The resistance of the coil;

(ii) The inductance of the coil.

(b) A capacitor is now joined in series with the coil and the current rises to 5A.

Determine EACH of the following:

(i) The value of the capacitor;

(ii) The new power factor.