# Maxwell equation by neerajdalal126

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```									MAXWELL’S
EQUATION
TALK FLOW

• MAXWELL’S EQUATIONS
• AMPERE’S LAW
• GAUSS’S LAW
• APPLICATION OF MAXWELL’S
EQUATIONS
• CONCLUSION
• REFERENCES
MAXWELL’S EQUATION FOR
TIME VARYING FIELD
• A CONDUCTING COIL PRODUCES A CONSTANT
MAGNETIC FIELD WHICH IN TURN PRODUCES A
CONSTANT FLUX THROUGH THE LOOP IF THE LOOP
DOSE NOT MOVE.
•   A CURRENT FLOW IN THE LOOP IF IT IS TURNED
AROUND SUDDENLY OR MORE CLOSER TO THE
COIL,DUE TO FLOW OF CURRENT A VOLTAGE INDUCED
IS CALLED ELECTROMOTIVE FORCE(EMF).
•   Vemf = -N dΦ/dt
•   ▼×E= - ∂B/ ∂t
AMPER’S LAW
GAUSS’S LAW
APPLICATION OF MAXWELL’S
EQUATION.
1. AMERE’S LAW EXAMPLES INFINITE WIRE
CONTD….
CONTD….
CONTD….
2.TRANSFORMER
• A TRANSFORMER CONSISTS OF TWO COIL WOUND
AROUND A COMMON MAGNETIC CORE.
•   THE COIL OF PRIMARY CIRCUIT HAS N1 TURNS AND
IS CONNECTED TO AN A.C VOLTAGE SOURCE V1(t)
•   THE COIL OF THE SECONDARY CIRCUIT HAS N2
TURNS AND IS CONNECTED TO A LOAD OF
RESISTOR RL.
•   ON THE PRIMARY SIDE OF TRANSFORMER V1
GENERATES A CURRENT I1WHICH ESTABLISH A FLUX
IN THE CORE.
•   V1 = -N1 dF/dt.
•   ON THE SECONDARY , THE FLUX CREATES A
VOLTAGE V2.
•   V2 = -N2 dF/dt.

• THE COMBINING OF THESE EQUATION GIVES.
• V1\V2 = N1\N2 = I2\I1.
3.MOVING CONDUCTOR IN STATIC MAGNETIC
FIELD.
• The force acting on a charge q of the wire is
Fm=q(uxB)
• The quantity (uxB) is called the motional
electric field Em.
• The electrons of the wire will then move
in the opposite direction of Em, and this
induces a voltage difference between
ends 1 and 2.
CONCLUSION
AN ELECTRIC FIELD IS PRODUCED BY A TIME
VARYING MAGNETIC FIELD AND VICE VERSA.
MAXWELL’S EQUATIONS FIND MANY
APPLICATIONS OTHER THAN DISCUSSED HERE
SUCH AS IN ANTENNA DESIGN ,WAVEGUIDE
DESIGN,DETERMINING BOUNDARY
CONDITIONS,PLANE WAVE PROPAGATION ETC.
REFERENCES:

UNIVERSITY PRESS,3rd EDITION.

[2] C. JORDEN EDWARD , G.BALMAIN KEITH ,ELECTROMAGNETIC
WAVES AND RADIATING SYSTEMS ,PRENTICE HALL OF INDIA PRIVATE
LIMITED,2ND EDITION. .

[3]   GURU BHAG SINGH, R.HIZITROGULU HUSEYIN,
ELECTROMAGNETIC FIELD THEORY
FUNDAMENTALS,VIKASH PUBLISHING HOUSE.

[4]H.HYAT   WILLIAM.JR,A.BUCK JOHN,ENGINEERING
ELECTROMAGNETICS,TATA MC-GRAW HILL,7TH EDITION.
THANK yoU
ANY QUERIES……

```
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