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Question

Question: In the circuit shown in the figure, reading of voltmeter is V<sub>1</sub> when S<sub>1</sub> is clos...

In the circuit shown in the figure, reading of voltmeter is V1 when S1 is closed, reading of voltmeter is V2 when only S2 is closed and reading of voltmeter is V3 when both S1 and S2 are closed. Then -

A

V3> V2> V1

B

V2> V1> V3

C

V3> V1> V2

D

V1> V2> V3

Answer

V2> V1> V3

Explanation

Solution

When S1 closed

V1 = 3RR+3R\frac{3R}{R + 3R}E = 34\frac{3}{4}E

When S2 is closed

V2 = 6RR+6R\frac{6R}{R + 6R}E = 67\frac{6}{7}E

When both is closed

V3 = 2RR+2R\frac{2R}{R + 2R}E = 2E3\frac{2E}{3}

∴ V2 > V1 > V3