The rate of change of electric displacement is called the
displacement current.
It is given by the equation:
\[
\frac{\partial \mathbf{D}}{\partial t}
\]
where \(\mathbf{D}\) is the electric displacement field, and \(\frac{\partial \mathbf{D}}{\partial t}\) represents how the electric displacement changes over time.
The concept of displacement current was introduced by James Clerk Maxwell to extend Ampère's law to situations where the electric field is changing with time, such as in capacitors. It plays a key role in the understanding of electromagnetic waves and is crucial for Maxwell's equations.