AIIMS2018Physics-Magnetism

AIIMS 2018 Physics Magnetic Field Due to Current Assertion Reason Question

Type: Assertion Reason-conceptual-Medium-Class 12

Assertion : Figure shows a current carrying circular loop. The magnetic field at the centre of loop is zero.

Reason : Magnetic field at the centre of loop is given by B=μ0ni2RB = \frac{\mu_0 ni}{2R}

A

If both assertion and reason are true and reason is the correct explanation of assertion.

B

If both assertion and reason are true but reason is not the correct explanation of assertion.

C

If assertion is true but reason is false.

D

If both assertion and reason are false.

Correct Answer

Option A

Detailed Explanation

The assertion is false because the magnetic field at the center of a current-carrying circular loop is not zero; instead, it is given by the formula B=μ0nI2RB = \frac{\mu_0 n I}{2R}, where μ0\mu_0 is the permeability of free space, nn is the number of turns per unit length, II is the current, and RR is the radius of the loop. The reason is true as it correctly states the formula for the magnetic field at the center of the loop, but since the assertion is false, option A cannot be correct. Options B and C are incorrect because they rely on the assertion being true, while option D is incorrect as it incorrectly claims both statements are false.

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