A series circuit carries a constant current of supplied by a source whose emf varies…

PHYSICS · Single correct · CBSE · Physics · Current Electricity · Current Electricity

Problem

A series circuit carries a constant current of 0.25 A0.25\,\text{A} supplied by a source whose emf varies with time according to ε(t)=12 V+3 V⋅sin⁡(ωt)\varepsilon(t)=12\,\text{V}+3\,\text{V}\cdot\sin(\omega t). Two resistive elements in the circuit maintain steady potential drops of 5 V5\,\text{V} and 4 V4\,\text{V}, respectively. Ignoring any other elements, what is the average power delivered by the source to the circuit over one complete cycle of sin⁡(ωt)\sin(\omega t)? (a) 2.3 W2.3\,\text{W} (b) 3.8 W3.8\,\text{W} (c) 3.0 W3.0\,\text{W} (d) 0.75 W0.75\,\text{W}

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