An infinitely long hollow conducting cylinder with radius $R$ carries a uniform current along its surface.
Choose the correct representation of magnetic field $(B)$ as a function of radial distance $(r)$ from the axis of cylinder.

Question

An infinitely long hollow conducting cylinder with radius $R$ carries a uniform current along its surface.

Choose the correct representation of magnetic field $(B)$ as a function of radial distance $(r)$ from the axis of cylinder.

TestHub · Accepted Answer

According to Ampere's law, ∮ B → · d l → = μ 0 i Inside the hollow cylinder, current will be zero. Therefore, magnetic field will also be zero. Outside the cylinder, B 2 π r = μ 0 i ⇒ B = μ 0 i 2 π r ⇒ B ∝ 1 r Hence, the correct answer is D.

Physics - Magnetism Question with Solution | TestHub

Options:

Doubts & Discussion