Explain the relationship between Maxwell’s differential and integral formulations clearly and neatly. I am asking for...

Explain the relationship between Maxwell’s differential and integral formulations clearly and neatly. I am asking for an explanation, not derivation. Will give thumbs up. Again please write legibly. Thank you

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Expert Solution

I will take this image from wikipedia, first equation in integral form is basically represent the Gauss law in electrostatic which explains that flux through a closed surface is equal to the charge enclosed inside body divided by permittivity of free space.

In differential form it represent that divergence of electric field is equal to the volume charge density through that surface divided by permittivity of free space.

Second equation represent the magnetic flux through a closed surface is equal to zero. this completely indicate the nonexistence of magnetic monopole. Also differential equation represent the divergence of magnetic field is 0. which also indicate the magnetic line of forces have never end point and starting point.

Third equation represent the electromagnetic induction phenomena which is basically that rate of change of magnetic field induce the electric field which is basically the Faraday law of electromagnetic induction. Differential equation representing the same .

Fourth equation is the combination of two thing one is Ampere circuital law and other thing is that change in electric field is also able to induce the magnetic field which basically satisfies the continuity.

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genius_generous answered 1 year ago

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