Write the mathmatical equation of Ampere-maxwell law.

Explanation

To write the mathematical equation of Ampere-Maxwell Law, we can break it down into the following steps:

### Step 1: Understand the Basic Concept
Ampere-Maxwell Law relates the magnetic field around a closed loop to the electric current and the changing electric field passing through the loop. It extends Ampere's Law by including the displacement current.

### Step 2: Write the Integral Form of the Law
The integral form of Ampere-Maxwell Law can be expressed as:
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