Question

write the Equation which shows relation
between displacement current and
ampere's law.​

Answer 1

Answer: ▽×H=J+JD

Where,

H is related to magnetic field B as B=μH

μ is the permeability of the medium in between the plates.

J is the conducting current density.

JD  is the displacement current density.

We know that ▽. (▽×H)=0 and ▽.J=−∂ρ∂t=−▽.∂D∂t using Gauss’s law that is ▽.D=ρ

Here, ρ is the electric charge density.

Thus, JD=∂D∂t displacement current density is necessary to balance RHS with LHS of the equation.

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