Physics Asked by OFFplanet on February 24, 2021
According to Gauss’s law of magnetism, the total magnetic flux through a closed surface is zero. But during induction, we study that the magnetic field lines passing through a coil change, as does flux given by $Phi = LI$. But even if they change, the net lines coming in= net lines going out. So, flux should be zero?
According to Gauss' Law, the "net" magnetic flux is zero for a closed surface because magnetic monopoles don't exist but by writing $Phi=LI$, we measure the outflux/influx produced by the single pole but though the "net" flux here also is zero.
Correct answer by Vaibhav Dixit on February 24, 2021
Gauss's law of magnetism does not give us a tool to "measure" flux. As you said it just says that the total magnetic flux through a closed surface is zero.
If we take a coil with changing magnetic field and imagine a sphere around it, Gauss law tell's us that the total flux through the surface of the sphere is zero, what helps us in no way.
Field lines are just a tool to represent intensity of the magnetic field with drawing (less) denser lines, and representing the direction the field at a given position. You can't argue with the "amount" of field lines.
But as you stated magnetic flux through a coil is given by $$Phi = LI$$
So flux is not zero for $I, L ne 0$.
Answered by Felix Crazzolara on February 24, 2021
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