GATE Electrical Engineering (EE) 2017 Shift 1 Solved Paper

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are ${\mathit{V}}_{\mathit{a}\mathit{n}}=220\mathit{s}\mathit{i}\mathit{n}\left(100\mathit{\pi }\mathit{t}\right)\mathit{V}$ and ${\mathit{i}}_{\mathit{a}}=10\mathit{s}\mathit{i}\mathit{n}\left(100\mathit{\pi }\mathit{t}\right)\mathit{A}$ respectively. Similarly, for phase-b, the instantaneous voltage and current are ${\mathit{V}}_{\mathit{b}\mathit{n}}=220\cos \left(100\mathit{\pi }\mathit{t}\right)\mathit{V}$ and ${\mathit{i}}_{\mathit{b}}=10\cos \left(100\mathit{\pi }\mathit{t}\right)\mathit{A}$ respectively.

The total instantaneous power flowing from the source to the load is