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 point A is zero. Then determine current I.

Question diagram
A

50 A

B

15 A

C

30 A

D

25 A

Correct Answer

Option C

Detailed Explanation

For the resultant magnetic field at point A to be zero, the magnetic fields produced by the two parallel wires must be equal in magnitude and opposite in direction. Using the formula for the magnetic field due to a long straight current-carrying wire, B=μ0I2πrB = \frac{{\mu_0 I}}{{2\pi r}}, where μ0\mu_0 is the permeability of free space and rr is the distance from the wire, we can set the magnetic fields from both wires equal to each other. Solving for the current II yields a value of 30 A, which satisfies the condition for zero resultant magnetic field. Other options do not yield this balance, making them incorrect.

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