Question: Three loads are connected in parallel across a single-phase source voltage of (240 mathrm{~V}) (RMS). Load 1 absorbs (15 mathrm{~kW}) and (6.667 mathrm{kvar}); Load 2

Three loads are connected in parallel across a single-phase source voltage of \(240 \mathrm{~V}\) (RMS).

Load 1 absorbs \(15 \mathrm{~kW}\) and \(6.667 \mathrm{kvar}\);

Load 2 absorbs \(3 \mathrm{kVA}\) at \(0.96 \mathrm{PF}\) leading;

Load 3 absorbs \(15 \mathrm{~kW}\) at unity power factor.

Calculate the equivalent impedance, \(Z\), for the three parallel loads, for two cases: (i) Series combination of \(\mathrm{R}\) and \(\mathrm{X}\), and (ii) parallel combination of \(\mathrm{R}\) and \(\mathrm{X}\).

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