Gauss's law for magnetic fields says that magnetic flux is always zero. faraday's law says that a changing magnetic flux through a closed surface is equal to the induced electric field around that surface. but if magnetic flux is always zero, how can it ever change? explain in detail.

Explanation:

Gauss's law of magnetism is given as

here it is surface integral of magnetic field in a 3 Dimensional closed loop

So in this type of 3D closed loop number of linens of magnetic field is always zero because it always forms closed loops

Now as per Faraday's law

here we have to find the closed integral of 2 D planar loop of electric field which will be equal to potential difference

So this is non zero because total number of lines through a planar loop is not essentially zero.

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