AIPMT PRELIMS2012Physics-Magnetism and Matter

AIPMT PRELIMS 2012 Physics Magnetic Field due to Current MCQ Question

Type: MCQ-numerical-Medium-Class 12

Two similar coils of radius R are lying concentrically with their planes at right angles to each other. The currents flowing in them are I and 2I, respectively. The resultant magnetic field induction at the centre will be

A

μ₀I/R

B

√5μ₀I/2R

C

3μ₀I/2R

D

μ₀I/2R

Correct Answer

Option B

Detailed Explanation

The magnetic fields due to each coil are perpendicular. Using vector addition, the resultant field is B = √(B₁² + B₂²) = √5μ₀I/2R.

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