1. Vector Analysis
Scalars and Vectors, Vector Algebra, The rectangular co-ordinate system, Vector components and unit vectors, The vector field, The dot product, The cross product, Circular cylindrical co-ordinates, Spherical co-ordinate system.
2.Coulomb’s law and Electric Field Intensity
The experimental law of Coulomb, Electric field intensity, Field due to a continuous volume charge distribution, Field of a line charge, Field of a sheet charge.
3.Electric Flux Density, Gauss’ law and Divergence
Electric flux density, Gauss’ law, Application of Gauss’ law: some symmetrical charge distributions, Application of Gauss’ law to differential volume element, Divergence, Maxwell’s first equation, The divergence theorem.
4. Energy and Potential
Energy expended in moving a point charge in electric field, The line integral, Definition of potential and potential difference, The potential field of a point charge, The potential field of a system of charges, Potential gradient, The dipole, Energy density in the electrostatic field.
5.The Steady Magnetic Field
Biot Savart law, Ampere’s circuital law, Curl, Stoke’s theorem, Magnetic flux and magnetic flux density, The scalar and vector magnetic potentials, Derivation of steady magnetic field laws.
6.Magnetic Forces, Materials and Inductance
Force on a moving charge, Force on a differential current element, Force between differential current elements, Force and torque on a closed circuit, The nature of magnetic materials, Magnetization and permeability, Magnetic boundary conditions, The magnetic circuit, Potential energy and forces on magnetic materials, Inductance and mutual inductance
Scalars and Vectors, Vector Algebra, The rectangular co-ordinate system, Vector components and unit vectors, The vector field, The dot product, The cross product, Circular cylindrical co-ordinates, Spherical co-ordinate system.
2.Coulomb’s law and Electric Field Intensity
The experimental law of Coulomb, Electric field intensity, Field due to a continuous volume charge distribution, Field of a line charge, Field of a sheet charge.
3.Electric Flux Density, Gauss’ law and Divergence
Electric flux density, Gauss’ law, Application of Gauss’ law: some symmetrical charge distributions, Application of Gauss’ law to differential volume element, Divergence, Maxwell’s first equation, The divergence theorem.
4. Energy and Potential
Energy expended in moving a point charge in electric field, The line integral, Definition of potential and potential difference, The potential field of a point charge, The potential field of a system of charges, Potential gradient, The dipole, Energy density in the electrostatic field.
5.The Steady Magnetic Field
Biot Savart law, Ampere’s circuital law, Curl, Stoke’s theorem, Magnetic flux and magnetic flux density, The scalar and vector magnetic potentials, Derivation of steady magnetic field laws.
6.Magnetic Forces, Materials and Inductance
Force on a moving charge, Force on a differential current element, Force between differential current elements, Force and torque on a closed circuit, The nature of magnetic materials, Magnetization and permeability, Magnetic boundary conditions, The magnetic circuit, Potential energy and forces on magnetic materials, Inductance and mutual inductance
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