Syllabus
Unit-1: Review of Vector Analysis
Introduction, scalars and vectors, unit vector, vector addition and subtraction, position and distance vectors, dot product, cross product, scalar triple product, vector triple product, components of a vector, Cartesian co-ordinate system, Circular cylindrical co-ordinate system, Spherical co-ordinate system, transformation from one co-ordinate to other co-ordinate systems
Unit-2: Static Electric Fields
Coulomb’s law, Electric field intensity, Electric field due to point and line charges, Line surface and volume charge distributions, Gauss’ law and its applications, Divergence theorem, Absolute Electric potential, Potential difference, Potential gradient, Calculation of potential difference for different configurations, Electric dipole, Electrostatic energy and energy density
Unit-3: Conductors, Dielectrics and Capacitance
Current and current density, Ohm’s law in point form, Continuity equation, Conductor-dielectric boundary condition, Dielectric-dielectric boundary condition, Polarization in dielectrics, Capacitance, Capacitance of two wire line
Unit-4: Poisson’s and Laplace’s equations
Poisson’s equation, Laplace’s equation, Uniqueness theorem, Solution of Poisson’s and Laplace’s equation, Application of Poisson’s and Laplace’s equations
Unit-5: Steady Magnetic Fields
Biot Savart’s law, Ampere’s law, Curl operation, Stoke’s theorem, Magnetic flux and magnetic flux density, Scalar and vector magnetic potentials, Steady magnetic field produced by current carrying conductors
Unit-6: Magnetic forces, materials and inductance
Force on a moving charge, Force on a differential current element, Force between differential current elements, Nature of magnetic materials, Magnetization and Permeability, Magnetic boundary conditions, Magnetic circuit, Inductance and mutual inductances
Unit-7: Time varying fields and Maxwell’s equations
Faraday’s law, Transformer and motional electromotive forces, Displacement current, Maxwell’s
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