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Question

In the circuit shown in the figure, reading of voltmeter is V1 when only S1 is closed, V2 when only S2 is closed and V3 when both S1 and S2 are closed. Choose the correct relation between V1, V2 and V3.


A

V2>V1>V3

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B

V3>V2>V1

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C

V3>V1>V2

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D

V1>V2>V3

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Solution

The correct option is A

V2>V1>V3


When only S1 is closed,
Req=R+3R=4R
I=EReq=E4R
Reading of the voltmeter V1=E4R×3R=3E4

When only S2 is closed,
Req=R+6R=7R
I=EReq=E7R
Reading of the voltmeter V2=E7R×6R=6E7

When both S1 and S2 are closed,
Req=R+3R×6R3R+6R=R+2R=3R
I=EReq=E3R
Reading of the voltmeter V3=E3R×2R=2E3

Hence, V2>V1>V3


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