Question

A small magnet of magnetic moment m is placed inside a hollow sphere of radius R; the
net magnetic flux emerging out of the sphere is
a) proportional to m
b) proportional to the product R2 and magnitude of m
c) zero
d) a function of location and orientation of the magnet

Answer 1

Answer:

Answer is option (c) zero

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Answer 2

Option C) Zero

• Nothing more than a net magnetic field flux passing across the surface S enclosing the volume V makes up the second integral. Net magnetic field flux therefore passes through any closed surface at zero.
• Because the field lines entering and leaving a closed surface are equal, the magnetic flux through the surface is zero.
• If there is no source of the vector field in the volume encircled by the surface, the flux of a vector field across a closed surface is always zero.
• There won't be any net charge inside the form if that flux is zero. Although the form could include both positive and negative charges, the net is zero. Gauss's Law is always true, regardless of how odd the shape, so long as the charge distribution inside the surface is symmetric.
• Because all magnetic field lines entering such a closed surface are perfectly balanced by field lines exiting, the net magnetic flux via such a closed surface is always zero. This fact helps to clarify issues with magnetic fields.

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