PAPER II: ELECTROMAGNETICS
UNIT I: Scalar and Vector Fields
Concept of Field, Scalar and Vector Fields, Gradient of
scalar field, Physical significance and formalism of Gradient,
Divergence and Curl of a vector field in Cartesian co-
ordinates system, Problems based on Gradient, Divergence
and curl operators.if
Concept of Solid angle, Gauss divergence and Stoke's
theorem. Gauss law from inverse square law. Differential
form of Gauss law.
UNIT II: Field of stationary and moving charges
Potential energy of system of (i) Discrete N-charges (ii)
Continuous charge distribution. Energy required to built a
uniformly charged sphere, classical radius of electron,
Electric field due to a short electric dipole, Interaction of
electric dipole with external uniform and non uniform electric
field, potential due to a uniformly charged spherical shell.
Poisson's and Laplace equations in Cartesian co-ordinates
and their applications to solve the problems of electrostatics.
Invariance of charge, Gaussian and SI units and their inter
coversions, Electric field measured in moving frames,
Electric field of a point charge moving with constant velocity.
UNIT- III: Electric field in matter
Multipole expansion, defination of moments of charge
distribution, Dielectrics, Induced dipole moments, polar non
polar molecules, Free and bound charges, Polarization,
Atomic polarizabilty, electric displacement" vector, electric
susceptibility, dielectric constant, relation between them.
Electric potential and electric field due to a uniformly
polarized sphere (i) out side the sphere (ii) at the surface of
the sphere (ii) inside the sphere, Electric field due to a
dielectric sphere placed in a uniform electric field (a) out
side the sphere (b) inside the sphere, Electric field due to a
charge placed in dielectric medium and Gauss law, Clausius-
Mossorti relation in dielectrics,
UNIT- IV: Magnetostatics and magnetic field in
matter
Lorentz force, properties of magnetic field, Ampere's law,field due to a current carrying solid conducting cylinder
(a)out side (b) at the surface and (H) inside the cylinder.Ampere's law in differential form, Introduction of Magnetic
Vecun potential, Poisson's equation for vector potential,
Deduction of Bio-Savart law using Magnetic Vector
potentials, Differential form of Ampere's law.
Atomic magnet, Gyromagnetic ratio, Bohr-magneton,
Lanmor frequency, induced mangnentic moment and dia-
magnetiem, spin magnetic moment, para and ferro
magnetism, Intensity of Magnetization, Magnetic
permeability and Susceptibility, free and boun'd current
dencities, Magnetic field due to a uniformly magnetized
material and Non-anitormly magnetizzed material.
UNIT I: Scalar and Vector Fields
Concept of Field, Scalar and Vector Fields, Gradient of
scalar field, Physical significance and formalism of Gradient,
Divergence and Curl of a vector field in Cartesian co-
ordinates system, Problems based on Gradient, Divergence
and curl operators.if
Concept of Solid angle, Gauss divergence and Stoke's
theorem. Gauss law from inverse square law. Differential
form of Gauss law.
UNIT II: Field of stationary and moving charges
Potential energy of system of (i) Discrete N-charges (ii)
Continuous charge distribution. Energy required to built a
uniformly charged sphere, classical radius of electron,
Electric field due to a short electric dipole, Interaction of
electric dipole with external uniform and non uniform electric
field, potential due to a uniformly charged spherical shell.
Poisson's and Laplace equations in Cartesian co-ordinates
and their applications to solve the problems of electrostatics.
Invariance of charge, Gaussian and SI units and their inter
coversions, Electric field measured in moving frames,
Electric field of a point charge moving with constant velocity.
UNIT- III: Electric field in matter
Multipole expansion, defination of moments of charge
distribution, Dielectrics, Induced dipole moments, polar non
polar molecules, Free and bound charges, Polarization,
Atomic polarizabilty, electric displacement" vector, electric
susceptibility, dielectric constant, relation between them.
Electric potential and electric field due to a uniformly
polarized sphere (i) out side the sphere (ii) at the surface of
the sphere (ii) inside the sphere, Electric field due to a
dielectric sphere placed in a uniform electric field (a) out
side the sphere (b) inside the sphere, Electric field due to a
charge placed in dielectric medium and Gauss law, Clausius-
Mossorti relation in dielectrics,
UNIT- IV: Magnetostatics and magnetic field in
matter
Lorentz force, properties of magnetic field, Ampere's law,field due to a current carrying solid conducting cylinder
(a)out side (b) at the surface and (H) inside the cylinder.Ampere's law in differential form, Introduction of Magnetic
Vecun potential, Poisson's equation for vector potential,
Deduction of Bio-Savart law using Magnetic Vector
potentials, Differential form of Ampere's law.
Atomic magnet, Gyromagnetic ratio, Bohr-magneton,
Lanmor frequency, induced mangnentic moment and dia-
magnetiem, spin magnetic moment, para and ferro
magnetism, Intensity of Magnetization, Magnetic
permeability and Susceptibility, free and boun'd current
dencities, Magnetic field due to a uniformly magnetized
material and Non-anitormly magnetizzed material.
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