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Physics-Ampere's Law

NEET Physics Ampere's Law MCQ Question

Type: MCQ-numerical-Medium-Class 12

A long straight wire carries a steady current I. Using Ampere's Law, what is the magnetic field at a distance r from the center of the wire, with r < a, where a is the radius of the wire?

A

B = (μ₀I/2πa²)r

B

B = (μ₀I/2πr)²

C

B = (μ₀I/2πa)r²

D

B = (μ₀Ir/2πa²)

Correct Answer

Option A

Detailed Explanation

For r < a, the magnetic field inside the wire is given by B = (μ₀I/2πa²)r, as derived using Ampere's Law with the current enclosed being proportional to the area inside the radius r.

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