A circuit contains two rectangular loops that share a single resistor
PHYSICS · Subjective · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits
Problem
A circuit contains two rectangular loops that share a single resistor. The left loop consists of a 12 V battery, a 2.0 Ω resistor R₁, and the shared 4.0 Ω resistor R₂. The right loop consists of a 6.0 V battery oriented with opposite polarity to the 12 V battery across R₂, a 3.0 Ω resistor R₃, and the same shared resistor R₂. Clockwise currents I₁ (left loop) and I₃ (right loop) are defined, so that the current through R₂ from left to right equals I₁ − I₃. Calculate the value of I₁.