Two rectangular loops share a resistor

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

Problem

Two rectangular loops share a 4 Ω4\,\Omega resistor RsR_s. The left loop contains a 12 V12\,\text{V} battery in series with a 2 Ω2\,\Omega resistor, and the right loop contains a 6 V6\,\text{V} battery in series with a 3 Ω3\,\Omega resistor. All conductors have negligible resistance, and currents are defined clockwise in each loop. What is the magnitude and direction of the current through RsR_s? (a) 1.1 A1.1\,\text{A} from left to right through RsR_s (b) 0.92 A0.92\,\text{A} from right to left through RsR_s (c) 0.92 A0.92\,\text{A} from left to right through RsR_s (d) 1.5 A1.5\,\text{A} from left to right through RsR_s

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