Module 1 : Electromagnetic waves
Lecture 1 : Maxwell's equations: a review
1. Maxwell's equations in vacuum (contd..)
Ampere's law with Maxwell's corrections
:

Integrate over a surface whose boundary is a loop:  

(12)

Use a mathematical identity (Stokes' theorem)  

(13)

Relationship between magnetic field along a loop and the rate of change of magnetic flux through an open surface whose boundary is the loop

 
is the conduction current  
 
is often called "displacement current", this is the correction by Maxwell to Ampere's law