In the shown circuit, the cells A and B have negligible resistances. For Vₐ = 12 V, R₁ = 500 Ω and R = 100 Ω, the galvanometer shows no deflection. Find Vᵦ. [Diagram: Image]
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Question

In the shown circuit, the cells A and B have negligible resistances. For Vₐ = 12 V, R₁ = 500 Ω and R = 100 Ω, the galvanometer shows no deflection. Find Vᵦ. [Diagram: Image]

G1 Physics · Accepted Answer

Step 1: No deflection means the galvanometer branch has zero current and its terminal points are equipotential. Step 2: With I = Vₐ/(R₁+R) = 12/600 = 0.02 A, balanced node drop on R is IR=2 V. Step 3: Hence Vᵦ = 2 V.