In the circuit shown in figure, reading of voltmeter is V1 when only 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

Question

In the circuit shown in figure, reading of voltmeter is V1 when only 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

Tardigrade Admin · Accepted Answer

In series, p.d. propto R When only S1 is closed, V1=(3/4) ε=0.75 ε When only S2 is closed, V2=(6/7) ε=0.86 ε When both S1 and S2 are closed combined resistance of 6R and 3 R is 2 R. ∴ V3=((2/3)) ε=0.67 ε ∴ V2 > V1 > V3

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

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

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

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

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

Q. In the circuit shown in figure, reading of voltmeter is V1​ when only 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

V3​>V2​>V1​

V2​>V1​>V3​

V3​>V1​>V2​

V1​>V2​>V3​

In series, p.d. ∝R When only S1​ is closed, V1​=43​ε=0.75ε When only S2​ is closed, V2​=76​ε=0.86ε When both S1​ and S2​ are closed combined resistance of 6R and 3R is 2R. ∴V3​=(32​)ε=0.67ε ∴V2​>V1​>V3​

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

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

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

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

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