MAXWELL'S EQUATION

1. NAST- 611: Essentials of Quantum Mechanics
and Electromagnetic Theory
•
MAXWELL’S EQUATIONS IN VACUUM
Course Instructor, Presented by
DR .P.THANGADURAI MUGILAN N
Centre for Nanoscience and Technology (16305012)
M.TECH 1ST YEAR NAST

2. 1.GAUSS LAW OF ELECTROSTATICS
Total electric flux through any closed surface, is
equal to 1/ε times the total charge enclosed by
the surface.
ФE=∫E.dS=q/ε
Where ε is the permittivity of the medium (for
free space ε=ε0)
So , ФE=∫E.dS=q/ε0
Where ∫E.dS is surface integral over the closed
surface and q is the charge present in the closed
surface S.

3. 2.GAUSS THEOREM IN MAGNETOSTATICS
• The Gauss Law for Magnetism states that
there are no magnetic charges contact to the
electric charges.
• The net magnetic flux out of any closed
surface is zero.(because Magnetic
monopoles does not exist).
∫ ∫ B .d S = 0
• Magnetic field lines can only make a closed
loops.

4. 3.FARADAY’S LAW OF ELECTROMAGNETIC
INDUCTION;
• Line integral of electric field vector E
around a closed path is equal to the rate
of change of magnetic flux through a
surface bounded by that path.
∫ E.dl =− ∫∫ ∂B/ ∂t dA

6. 4.MAGNETIC CIRCUIT LAW
• The line integral of the magnetic field
vector “H” around a closed path is equal
to the total current flux through a
surface bounded by that path.

7. MAXWELL EQUATION IN VACCUM
 VOLUME CHARGE DENSITY ‘ρ’ =0
 CURRENT DENSITY ‘J’ =0
 CONDUCTIVITY

8. Maxwell’s Equations
o o
E
B
t
 

 

B
E
t

  

0
o
E
B


 
 

9. THANK YOU