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Question
In what way is Gauss's law in magnetism different from that used in electrostatics ? Explain briefly.
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Solution
Gauss's law for magnetism states that net magnetic flux ΦB through any closed surface is zero.
`ϕB=∮vecB.vecds=0`
On the other hand, Gauss's law for electrostatics states that electric flux through a closed surface S is given by
`ϕE=∮vecE.vecds=q/ε_0`
where
q = Electric charge enclosed by closed surface
ε0 = Permittivity of free space
So, if an electric dipole is enclosed by surface, electric flux will be zero. But the fact that ΦB is zero indicates that in magnetism there is no counterpart of isolated charge as in electricity. So, by this, we can say that isolated magnetic poles or monopoles do not exist.
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