A, B and C are voltmeters of resistance R, 1.5R and 3R respectively connected with A in series with B and C in parallel. Applied potential difference X–Y gives readings Vₐ, Vᵦ and V𝒸. Then: [Diagram: Image]
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Question

A, B and C are voltmeters of resistance R, 1.5R and 3R respectively connected with A in series with B and C in parallel. Applied potential difference X–Y gives readings Vₐ, Vᵦ and V𝒸. Then: [Diagram: Image]

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G1 Physics · Accepted Answer

Step 1: Parallel combination B||C has resistance (1.5R×3R)/(1.5R+3R)=R. Step 2: Voltmeter A also has resistance R; A in series with equal resistance R of parallel block. Step 3: Their drops are equal Vₐ = Vₚ. Parallel voltmeters read Vᵦ=V𝒸=Vₚ. Therefore all three equal.