Write the Ampere-Maxwell law in the form of an equation.

(N/A) The Ampere-Maxwell law is a generalization of Ampere's circuital law,which accounts for the displacement current. It is expressed as:
$\oint B \cdot dl = \mu_0 (I_c + I_d)$
Where:
$1$. $\oint B \cdot dl$ is the line integral of the magnetic field around a closed loop.
$2$. $\mu_0$ is the permeability of free space.
$3$. $I_c$ is the conduction current.
$4$. $I_d$ is the displacement current,given by $I_d = \epsilon_0 \frac{d\Phi_E}{dt}$,where $\epsilon_0$ is the permittivity of free space and $\Phi_E$ is the electric flux.
Thus,the complete equation is: $\oint B \cdot dl = \mu_0 I_c + \mu_0 \epsilon_0 \frac{d\Phi_E}{dt}$.