Two identical long parallel wires carry currents ' I₁ ' and ' I₂ '… | MHT CET 2025 (21 Apr, Shift 1)

Q17MHT CET 2025 · 21 APR · SHIFT 1Medium

Magnetic Field of Straight Wires

Two identical long parallel wires carry currents ' $I_1$ ' and ' $I_2$ ' such that $I_1 > I_2$ . When the currents are in the same direction, the magnetic field at a point midway between the wires is $8 \times 10^{-6}\text{ T}$ . If the direction of $I_2$ is reversed, the field becomes $3.2 \times 10^{-5}\text{ T}$ . The ratio of $I_2$ to $I_1$ is

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Answer: (c)

Same direction: $k(I_1 - I_2) = 8 \times 10^{-6}$ ; reversed: $k(I_1 + I_2) = 3.2 \times 10^{-5}$ .
$\frac{I_1 + I_2}{I_1 - I_2} = 4 \Rightarrow 3I_1 = 5I_2$
$I_2 : I_1 = 3 : 5$
So the answer is (c) $3 : 5$ .

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Magnetic Field of Straight Wires question from MHT CET 2025 (21 Apr, Shift 1)

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