In the circuit shown, C₂/C₁ = 4/3 and the terminal voltage of the battery at the left is V₀. The potentials of nodes 1, 2, 3, 4, 5 and 6 are in geometric progression. If the terminal voltage of the right battery is V in steady state, then:

Question

G1 Physics · Accepted Answer

Let successive node potentials form a geometric progression with common ratio r. Using C₂/C₁ = 4/3 and charge balance at each floating node gives the allowed terminal-voltage ratios. The valid possibilities are A and B.