AIIMS2019Physics-Magnetism

AIIMS 2019 Physics Magnetic Field Due to Current MCQ Question

Type: MCQ-conceptual-Medium-Class 12

In figure two parallel infinitely long current carrying wires are shown. If resultant magnetic field at A is zero, then determine current I₁.

Question diagram
A

50

B

15

C

30

D

25

Correct Answer

Option C

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 BB due to a long straight wire is given by the formula B=μ0I2πrB = \frac{\mu_0 I}{2\pi r}, where μ0\mu_0 is the permeability of free space, II is the current, and rr is the distance from the wire. If the current I1I_1 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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