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AIIMS 2017
Exam
AIIMS
Year
2017
Subject
Physics
Chapter
Current Electricity

AIIMS 2017 · Physics · Current Electricity

The measurement of voltmeter in the following circuit is

The measurement of voltmeter in the following circuit is The measurement of voltmeter in the following circuit is

Options

  1. A2.25 V2.25 \mathrm{~V}
  2. B4.25 V4.25 \mathrm{~V}
  3. C2.75 V2.75 \mathrm{~V}
  4. D6.25 V6.25 \mathrm{~V}

Correct answer

A. 2.25 V2.25 \mathrm{~V}

Step-by-step solution

Resistance of voltmeter and 60Ω60 \Omega are in parallel. ∴\therefore \quad Equivalent resistance =60×4060+40=60×40100=24Ω=\frac{60 \times 40}{60+40}=\frac{60 \times 40}{100}=24 \Omega For the whole circuit, current I=6V(40+24)Ω=664=332AThevoltmeterreadspotentialdifferenceacrossI=\frac{6 \mathrm{ V}}{(40+24) \Omega}=\frac{6}{64}=\frac{3}{32} \mathrm{ A} The voltmeter reads potential difference across60 \Omega..∴ Voltmeter reading =I×Req=332×24=94V=2.25V\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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