Capacitances satisfy C₁ = 2C₂ = 2C₃. The potential differences across C₁, C₂ and C₃ are V₁, V₂ and V₃ respectively in the shown circuit. Which relation is correct?
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Question

Capacitances satisfy C₁ = 2C₂ = 2C₃. The potential differences across C₁, C₂ and C₃ are V₁, V₂ and V₃ respectively in the shown circuit. Which relation is correct?

G1 Physics · Accepted Answer

C₂ and C₃ are parallel, so their equivalent is C₂+C₃ = C₁. Thus the circuit is two equal capacitances C₁ in series, so each series section has the same voltage. Since C₂ and C₃ are parallel, V₂=V₃. Hence V₁=V₂=V₃. Correct answer: A.