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Question: Answered & Verified by Expert
The measurement of voltmeter in the following circuit is

PhysicsCurrent ElectricityAIIMSAIIMS 2017
Options:
  • A $2.25 \mathrm{~V}$
  • B $4.25 \mathrm{~V}$
  • C $2.75 \mathrm{~V}$
  • D $6.25 \mathrm{~V}$
Solution:
2430 Upvotes Verified Answer
The correct answer is: $2.25 \mathrm{~V}$
Resistance of voltmeter and $60 \Omega$ are in parallel.
$\therefore \quad$ Equivalent resistance
$=\frac{60 \times 40}{60+40}=\frac{60 \times 40}{100}=24 \Omega$
For the whole circuit, current $I=\frac{6 \mathrm{~V}}{(40+24) \Omega}=\frac{6}{64}=\frac{3}{32} \mathrm{~A}$
The voltmeter reads potential difference across $60 \Omega$.
$\begin{aligned} & \therefore \quad \text { Voltmeter reading }=I \times R_{e q} \\ & \qquad=\frac{3}{32} \times 24=\frac{9}{4} \mathrm{~V}=2.25 \mathrm{~V}\end{aligned}$

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