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JEE Main 2023 (6 Apr, Shift 2) · Kirchhoff's Laws & Measuring Instruments

Kirchhoff's Laws & Measuring Instruments question from JEE Main 2023 (6 Apr, Shift 2)

Q93JEE Main 2023 · 6 APR · SHIFT 2Medium

Kirchhoff's Laws & Measuring Instruments

As shown in the figure, the voltmeter reads 2 V2\text{ V} across 5 Ω5\ \Omega resistor. The resistance of the voltmeter is _________ Ω\Omega.

Figure

Numerical answer type. Work it out, then open the answer.

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Answer: 20

  1. The 2 Ω2\ \Omega resistor gets 3−2=1 V3 - 2 = 1\text{ V}, so the total current is 12=0.5 A\dfrac{1}{2} = 0.5\text{ A}.
  2. Current through 5 Ω=25=0.4 A5\ \Omega = \dfrac{2}{5} = 0.4\text{ A}, so the voltmeter carries 0.1 A0.1\text{ A}.
  3. RV=20.1=20 ΩR_V = \dfrac{2}{0.1} = 20\ \Omega
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