Notes from the JEE Toppers
2 :Mathematical Derivations
Detailed derivations of key equations related to displacement current, such as Maxwell’s modification of Ampere’s Law: $$( \nabla \times \mathbf{B} = \mu_0 \mathbf{J} + \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t} ),$$ $$where ( \mathbf{B} ) is the magnetic field, ( \mathbf{J} ) is the current density,$$ $$( \mu_0 ) is the permeability of free space, ( \varepsilon_0 ) is the permittivity of free space,$$ $$and ( \mathbf{E} ) is the electric field$$
