Two adjacent rectangular loops share a common side that contains a 1 Ω resistor
PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits
Problem
Two adjacent rectangular loops share a common side that contains a 1 Ω resistor. Loop 1 consists of a 3 Ω resistor and a 12 V source connected in series; Loop 2 consists of a 6 Ω resistor and a 6 V source connected in series. The positive terminal of each source is connected to the end of the 1 Ω resistor common to both loops. Assuming clockwise currents I₁ in Loop 1 and I₂ in Loop 2, determine the magnitude and direction of the current in the 1 Ω resistor.