First slide

combination of resistance

Question

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

Moderate

A

V₃ > V₂ > V₁
B

V₂ > V₁ > V₃
C

V₃ > V₁ > V₂
D

V₁ > V₂ > V₃

Solution

In series: Potential difference $\propto R$
When only S₁ is closed , $V_{1} = \frac{3}{4} E = 0 .75 E$
when only S₂ is closed, $V_{2} = \frac{6}{7} E = 0 .86 E$ and when both S₁ and S₂ are closed combined resistance of 6R and 3R is 2R. $∴ V_{3} = (\frac{2}{3}) E = 0 .67 E \Rightarrow V_{2} > V_{1} > V_{3}$

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