AIIMS 2019 Physics Magnetic Field Due to Current MCQ Question
In figure two parallel infinitely long current carrying wires are shown. If resultant magnetic field at A is zero, then determine current I₁.

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Correct Answer
Detailed Explanation
For the resultant magnetic field at point A to be zero due to two parallel current-carrying wires, the magnetic fields produced by each wire must be equal in magnitude and opposite in direction. The magnetic field due to a long straight wire is given by the formula , where is the permeability of free space, is the current, and is the distance from the wire. If the current in one wire is 3 A (option C), it will produce a magnetic field that perfectly cancels the field from the other wire at point A, resulting in a net magnetic field of zero.
Options A (1 A), B (2 A), and D (4 A) are incorrect because they do not satisfy the condition for equal and opposite magnetic fields at point A, leading to a non-zero resultant magnetic field.
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