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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Current Electricity

NEET 2019 · Physics · Current Electricity

The reading of an ideal voltmeter in the circuit shown is

The reading of an ideal voltmeter in the circuit shown is The reading of an ideal voltmeter in the circuit shown is

Options

  1. A0.6 V0.6 \mathrm{~V}
  2. B0 V0 \mathrm{~V}
  3. C0.5 V0.5 \mathrm{~V}
  4. D0.4 V0.4 \mathrm{~V}

Correct answer

D. 0.4 V0.4 \mathrm{~V}

Step-by-step solution

The given circuit diagram can be drawn as shown below The reading of an ideal voltmeter in the circuit shown is
The equivalent resistance of circuit is given by \begin{aligned} & \frac{\mathrm{l}}{\mathrm{R}_{\mathrm{eq}}}=\frac{\mathrm{l}}{\mathrm{R}_{\mathrm{AE}}}+\frac{\mathrm{l}}{\mathrm{R}_{\mathrm{DF}}} \\ & =\frac{1}{(20+30)}+\frac{1}{(30+20)} \\ & =\frac{1}{50}+\frac{1}{50}=\frac{2}{50} \\ & \Rightarrow \quad \mathrm{R}_{\mathrm{eq}}=25 \Omega \\ & \end{aligned} As the resistance of two branches is same i.e. 50Ω50 \Omega. So, the current I1=\mathrm{I}_1=I2⇒\mathrm{I}_2 \Rightarrow \quadI=I1+I2225=2I1⇒I2=I1=125 A\begin{aligned} \mathrm{I} & =\mathrm{I}_1+\mathrm{I}_2 \\ \frac{2}{25} & =2 \mathrm{I}_1 \Rightarrow \mathrm{I}_2=\mathrm{I}_1=\frac{1}{25} \mathrm{~A} \end{aligned} \thereforeThevoltageacrossThe voltage acrossABV1=\mathrm{AB} \mathrm{V}_1=\mathrm{I}1R1=125×20_1 \mathrm{R}_1=\frac{1}{25} \times 20andvoltageacrossand voltage acrossC D V2=I2R2=125×30∴ Voltmeter reading =V2−V1=3025−2025=1025=0.4 V\begin{aligned} \mathrm{V}_2= & \mathrm{I}_2 \mathrm{R}_2=\frac{1}{25} \times 30 \\ \therefore \text{ Voltmeter reading } & =\mathrm{V}_2-\mathrm{V}_1 \\ & =\frac{30}{25}-\frac{20}{25} \\ & =\frac{10}{25}=0.4 \mathrm{~V} \end{aligned}
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