Electromagnetic Fields

Technical Publications, 2009 - 474 pages
ElectrostaticsElectrostatic Fields - Coulomb's Law - Electric Field Intensity (EFI) EFI due to a line and a surface charge - Work done in moving a point charge in an electrostatic field Electric Potential - Properties of potential function - Potential gradient - Gauss's law - Application of Gauss s Law - Maxwell's first law, div (D) = v - Laplace's and Poisson's equations - Solution of Laplace's equation in one variable.Dipole and CapacitanceElectric dipole - Diople moment - Potential and EFI due to an electric dipole - Torque on an Electric dipole in an electric field - Capacitance - Capacitance of parallel plate and spherical capacitors.Conductors and DielectricsBehaviour of conductors in an electric field - Conductors and insulators - Electric field inside a dielectric material - Polarization - Dielectric - Conductor and Dielectric - Dielectric boundary conditions - Energy stored and energy density in a static electric field - Current density - Conduction and Convection current densities - Ohm s law in point form - Equation of continuity.Magneto StaticsStatic magnetic fields - Biot-Savart s law - Magnetic field intensity (MFI) - MFI due to a straight current carrying filament - MFI due to circular, square and solenoid current - Carrying wire - Relation between magnetic flux, magnetic flux density and MFI - Maxwell s second Equation, div(B) = 0.Ampere s Law and ApplicationsAmpere s circuital law and its applications viz. MFI due to an infinite sheet of current and a long current carrying filament - Point form of Ampere s circuital law Maxwell s third equation. Curl (H) = Jc.Force in Magnetic FieldsMagnetic force - Moving charges in a Magnetic field - Lorentz force equation - force on a current element in a magnetic field - Force on a straight and a long current carrying conductor in a magnetic field - Force between two straight long and parallel current carrying conductors - Magnetic dipole and dipole moment - a differential current loop as a magnetic dipole - Torque on a current loop placed in a magnetic field.Magnetic PotentialScalar Magnetic potential and its limitations -vector magnetic potential and its properties - Vector magnetic potential due to simple configurations - Vector Poisson s equations. Self and Mutual inductance - Neuman s formulae - Determination of self - inductance of a solenoid and toroid and mutual inductance between a straight long wire and a square loop wire in the same plane - Energy stored and density in a magnetic field. Introduction to permanent magnets, Their characteristics and applications. Time Varying FieldsTime varying fields - Faraday s laws of electromagnetic induction - Its integral and point forms - Maxwell s fourth equation, Curl (E) = / t - Statically and Dynamically induced EMF - Simple problems - Modification of Maxwell s equations for time varying fields - Displacement current.

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