Question

Derive Maxwell’s two general equations in integral and differential form. 

Answer 1

1. As the magnetic lines of forces are closed, the number of magnetic lines of flux entering any surface is exactly same as leaving.

` ∴ Φ_v bar(B) . ds = 0 `

` Using Gauses divergence theorem , convert surface integral to volume integral . 

`∴ Φ_V bar(B) . ds =  Φ_V   V . bar(B) dV = 0`

` ∴ V . bar(B) = 0 ` 

This is point form of Maxwell's second equation . 

Maxwell’s second equation in integral form

` ∴ Φ_v bar(B) . ds = 0 `