Calculate power factor of the heating element, Mechanical Engineering

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A single phase series resistive-inductive heating element draws a measured current of 15A when connected to a 225V single phase 50 Hz AC supply.

Tests have shown that a minimum supply current of 13A can be achieved when a 106.2μF capacitor is connected in parallel across this heating element.

Calculate:

(i)  The real power consumed by the heating element

(ii)  The power factor of the heating element

(iii)  The resistance of the heating element

(iv)  The inductance of the heating element


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