JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Current Electricity

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To determine the resistance ( R ) of a wire, a circuit is designed below, The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown in figure. The value of R is ______

Ω

Answer: 2500

Solution

The circuit is a voltmeter (resistance

10

Ω

) placed across the series combination of

R

and the ammeter; the equivalent resistance seen by the source is

R_{e q} = \frac{1 0 ^{4} R}{1 0 ^{4} + R}

From the graph, at

E = 4

I = 2

mA, so

R_{e q} = E / I = 2000 Ω

2000 = \frac{1 0 ^{4} R}{1 0 ^{4} + R} ⟹ 2000 (1 0^{4} + R) = 1 0^{4} R ⟹ 2 \times 1 0^{7} = 8000 R ⟹ R = 2500 Ω

JEE Main · 2024 · 09 Apr 2024 · Shift 2 · Integer answer

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