Two cells, one of emf with internal resistance and the other of emf with internal…

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

Two cells, one of emf 2.0 V2.0\,\text{V} with internal resistance 0.3 Ω0.3\,\Omega and the other of emf 1.5 V1.5\,\text{V} with internal resistance 0.2 Ω0.2\,\Omega, are connected in series such that their emfs oppose each other. The combination is joined to a 3.0 Ω3.0\,\Omega resistor. What is the magnitude of the current through the resistor (take the direction of the larger emf as positive)? (a) 0.20 A0.20\,\text{A} (b) 0.57 A0.57\,\text{A} (c) 0.14 A0.14\,\text{A} (d) 0.17 A0.17\,\text{A}

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