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

Question

In the circuit shown in the figure reading of voltmeter is V1 when only S1 is closed, the reading of voltmeter is V2 when only S2 is closed and the reading of voltmeter is V3 when both S1 and S2 are closed. Then:- <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-gppuzlihizw2d9jn.jpg" /> (A) V3>V2>V1 (B) V2>V1>V3 (C) V3>V1>V2 (D) V1>V2>V3

Tardigrade Admin · Accepted Answer

When only S1 is closed V1=(3/4)E=0.75E When only S2 is closed V2=(6/7)E=0.86E and when both S1 and S2 are closed combined resistance of 6R and 3R is 2R ∴ V3=((2/3))E=0.67E⇒ V2>V1>V3

Q. In the circuit shown in the figure reading of voltmeter is $V_{1}$ when only $S_{1}$ is closed, the reading of voltmeter is $V_{2}$ when only $S_{2}$ is closed and the reading of voltmeter is $V_{3}$ when both $S_{1}$ and $S_{2}$ are closed. Then:-

$V_{3} > V_{2} > V_{1}$

$V_{2} > V_{1} > V_{3}$

$V_{3} > V_{1} > V_{2}$

$V_{1} > V_{2} > V_{3}$

When only $S_{1}$ is closed $V_{1} = \frac{3}{4} E = 0.75 E$
When only $S_{2}$ is closed $V_{2} = \frac{6}{7} E = 0.86 E$
and when both $S_{1}$ and $S_{2}$ are closed combined resistance of $6 R$ and $3 R$ is $2 R$
$∴ V_{3} = (\frac{2}{3}) E = 0.67 E \Rightarrow V_{2} > V_{1} > V_{3}$

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

V3​>V2​>V1​

V2​>V1​>V3​

V3​>V1​>V2​

V1​>V2​>V3​