GATE PH 2023 PH Q31: Electromagnetic Theory

Consider an isolated magnetized sphere of radius

with a uniform magnetization

along the positive

direction, with the north and south poles of the sphere lying on the

axis. It is given that the magnetic field inside the sphere is

, where

is the permeability of vacuum. Which of the following statements is(are) CORRECT?

Your answerSelect all correct options. You can choose more than one.

The bound volume current density is zero

The bound surface current density has maximum magnitude at the equator, where this magnitude equals

The auxiliary field

Far from the sphere, the magnetic field is due to a dipole moment

, where

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