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Ampère's circuital law for a closed loop bounding a surface carrying total current I is correctly stated as:
A∮ B · dl = μ₀ I²
B∮ B · dl = μ₀ / I
C∮ B · dl = I / μ₀
D∮ B · dl = μ₀ I
Answer & Solution
Correct answer: D. ∮ B · dl = μ₀ I
1. Ampère's law relates the line integral of B around a closed loop to the enclosed current.
2. The integral $\oint \mathbf{B}\cdot d\mathbf{l}$ is taken over the boundary of the surface.
3. The law states this equals $\mu_0$ times the total current through the surface.
4. Hence $\oint \mathbf{B}\cdot d\mathbf{l} = \mu_0 I$.
_Source: NCERT Class 12 Physics Ch 4 "Moving Charges and Magnetism", p.149_
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