GATE Physics Study Material Book-1 Electromagnetic Theory

PHYSICS Electromagnetic Theory

Index  Electrostatics electric charges and Coulomb’s law  Electric field and electric dipole  Electric potential  Gauss law  EM wave propagation  Maxwells equations brief background  Representation of Maxwell’s equations  Derivation of Intrinsic impedance o Intrinsic impedence in low loss,lossy mediums  Skin depth  Continuity equation  Polarization,reflection,refraction o Linear,circular,elliptical polarizations o Reflective/refractive indices  Poynting’s Theorem  Boundary conditions  Waveguides  EM Wave propogation in rectangular wave guides o TE wave equations o TM wave equations o Cutoff frequency derivation for TE and TM waves o Group velocity and phase velocity o Intrinsic impedence of TE andTMwaves o Power equations in wave guide  EM wave propogation in rectangular wave guide o TE wave equations o TM wave equations o Cutoff frequency derivation for TE and TM waves o Group velocity andphase velocity o Intrinsic impedence o Power equations  Transmission lines  Loaded transmission line o Reflection coefficient and transmission coefficient o VSWR(Voltage standing wave ratio) o Input impedance of loaded transmission line  Input impedence of Shorted load and open load transmission line and behavior  λ/2, λ/4 transmission line  Scattering parameters

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S-Matrix and it’s properties Two-port reciprocal and non-reciprocal network Four-port networks o Magic-TEE o Directional coupler  Antennas  Antenna parameters  Fields of antenna  Radiation resistance o Hertizian dipole o λ/2 dipole λ/4 monopole o Folded dipole  Antenna patterns  Question and Answer from GATE

ELECTROSTATICS - ELECTRIC CHARGES AND COULOMB’S LAW

ELECTRIC FIELD

AND ELECTRIC DIPOLE

ELECTRIC POTENTIAL

GAUSS’S LAW

Electromagnetism and Maxwell’s Equations Electrostatics and

Technology

Magnetostatics

Applications

Maxwell’s Equations Integral Form

Differential Form

 q E   nˆ dS 

  E 

Coulomb’s Law:

 1 q1q2 F rˆ 4 0 r 2

0

S

 B   nˆ dS  0

No Magnetic Monopoles

S

Faraday’s

Dynamos and

Induction Law

electromotor

 F

I1 I 2 rˆ 2 0 r 1

s

  B  0

  ˆdC    B  nˆ dS E  t  t  C S

  B  E   t

   C B  tˆdC   0 I   0  0 t S E  nˆ dS

   E   B  0 J   0 0 t

Ampere’s Law: Electromagnet

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