The current flowing through a conductor connected across a source is 2 A and 1.2 A at 0 and 100 respectively. The current flowing through the conductor at 50 will be ___________ × 10² mA. Numerical answer type. Work it out, then open the answer.

Answer: 15. I = V/R, so R₀ = V/2 and R₁₀₀ = V/1.2. R₁₀₀ = R₀(1+100α) ⇒ 1+100α = 2/1.2 = 5/3 ⇒ α = 1/150. R₅₀ = R₀(1+50/150) = 43/2 = 2V/3 I₅₀ = 1.5 A = 1500 mA = 15×10² mA, so the answer is 15.

The current flowing through a conductor connected across a source is… | JEE Main 2023 (12 Apr, Shift 1)

Q19JEE Main 2023 · 12 APR · SHIFT 1Medium

Ohm's Law, Resistivity & Temperature

The current flowing through a conductor connected across a source is $2\text{ A}$ and 1.2 $\text{A}$ at $0^\circ\text{C}$ and $100^\circ\text{C}$ respectively. The current flowing through the conductor at $50^\circ\text{C}$ will be ___________ $\times 10^{2}\text{ mA}$ .

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

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Answer: 15

$I = V/R$ , so $R_0 = V/2$ and $R_{100} = V/1.2$ .
$R_{100} = R_0(1+100\alpha) \Rightarrow 1+100\alpha = 2/1.2 = 5/3 \Rightarrow \alpha = 1/150$ .
$R_{50} = R_0(1+50/150) = \tfrac43\cdot\tfrac{V}{2} = \tfrac{2V}{3}$
$I_{50} = 1.5\ \text{A} = 1500\ \text{mA} = 15\times10^2$ mA, so the answer is 15.

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