To determine the resistance $(R)$ of a wire, a circuit is designed below. The $V-I$ characteristic curve for…

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 ______ $\Omega$.

Solution

$\begin{aligned} & \text { Req }=\frac{10^4 R}{10^4+R} \\ & E=4 V, I=2 m A \\ & I=\frac{E}{R e q} \Rightarrow 2 \times 10^{-3}=\frac{4\left(10^4+R\right)}{10^4 R} \\ & \Rightarrow 20 R=40000+4 R\end{aligned}$ $\begin{aligned} & 16 R=40000 \\ & R=2500 \Omega\end{aligned}$

Asked in: JEE Main 2024 (09 Apr Shift 2)

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