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MHT CET 2022 (11 Aug, Shift 2) · Magnetic Field of Straight Wires

Magnetic Field of Straight Wires question from MHT CET 2022 (11 Aug, Shift 2)

Q47MHT CET 2022 · 11 AUG · SHIFT 2Easy

Magnetic Field of Straight Wires

Two parallel conducting wires of equal length are placed distance 'd' apart, carry currents ' $I_1$ ' and ' $I_2$ ' respectively in opposite directions. The resultant magnetic field at the midpoint of the distance between both the wires is

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Answer: (d)

Opposite currents: fields at the midpoint (distance $\frac{d}{2}$ from each wire) add.
$B = \frac{\mu_0 I_1}{2\pi (d/2)} + \frac{\mu_0 I_2}{2\pi (d/2)} = \frac{\mu_0 (I_1 + I_2)}{\pi d}$
So the answer is (d) $\frac{\mu_0(I_1+I_2)}{\pi d}$ .

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