AIIMS2019Physics-Magnetism

AIIMS 2019 Physics Magnetic Field of Current Loops MCQ Question

Type: MCQ-numerical-Hard-Class 12

Find magnetic field at centre P if length of side of square loop is 20 cm.

Question diagram
A

122×106 T12\sqrt{2} \times 10^{-6} \text{ T}

B

12×106 T12 \times 10^{-6} \text{ T}

C

6×106 T6 \times 10^{-6} \text{ T}

D

62×106 T6\sqrt{2} \times 10^{-6} \text{ T}

Correct Answer

Option A

Detailed Explanation

The calculation for the magnetic field BB at the center PP of the square loop is derived using the formula B=μ0iπaB = \frac{\mu_0 i}{\pi a}, where μ0\mu_0 is the permeability of free space and ii is the current. Substituting the given values, we find B=122×106TB = 12\sqrt{2} \times 10^{-6} \, \text{T}, confirming that option A is correct. Other options are not applicable as they do not provide relevant values or calculations related to the problem. Understanding the relationship between current, magnetic field, and geometry is crucial in electromagnetism.

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