# Displacement Current

Is displacement current always equals to conduction current?if not then can anyone give me an example for it?if yes,then can anyone prove it?

vanhees71
Gold Member
The socalled "displacement current" is a misnomer. It's not a current but it's simply part of one of Maxwell's equations, the Ampere-Maxwell Law, which reads in Heaviside-Lorentz units
$$\vec{\nabla} \times \vec{B}-\frac{1}{c} \partial_t \vec{E}=\frac{1}{c} \vec{j}.$$
This is the "microscopic form" of the law, and ##\vec{j}## is the total current density.

The source of the electromagnetic field are charge and current densities.

jtbell
Mentor
I think you should tell us some details about the context or background or origin of your question. Do you have a specific example in mind, where the two currents are equal?