Bihar Engineering University, Patna, Bihar, India
Physics Syllabus Course : B.Tech
Branch : Mechanical Engineering
MODULE 1: ELECTROSTATICS IN VACUUM
Calculation of electric field and electrostatic potential for a charge distribution; Divergence and Curl of electrostatic field; Laplace’s and Poisson’s equations for electrostatic potential and uniqueness of their solution and connection with steady state diffusion and thermal conduction; practical examples like Farady’s cage and coffee-ring effect; Boundary conditions of electric field and electrostatic potential; Method of images; Energy of a charge distribution and its expression in terms of electric field.
MODULE 2: ELECTROSTATICS IN A LINEAR DIELECTRIC MEDIUM
Electrostatic field and potential of a dipole. Bound charges due to electric polarization; Electric displacement; boundary conditions on displacement; solving simple electrostatics problems in presence of dielectrics – point charge at the centre of a dielectric sphere, charge in front of a dielectric slab, dielectric slab and dielectric sphere in uniform electric field.
MODULE 3: MAGNETOSTATICS
bio-savart law, divergence and curl of static magnetic field; vector potential and calculating it for a given magnetic field using stokes’ theorem; the equation for the vector potential and its solution for given current densities.
MODULE 4: MAGNETOSTATICS IN A LINEAR MAGNETIC MEDIUM
Magnetization and associated bound currents; auxiliary magnetic field; boundary conditions on and. solving for magnetic field due to simple magnets like a bar magnet; magnetic susceptibility and ferromagnetic, paramagnetic and diamagnetic materials; qualitative discussion of magnetic field in presence of magnetic materials.
MODULE 5: FARADAY’S LAW
Faraday’s law in terms of emf produced by changing magnetic flux; Equivalence of Faraday’s law and motional emf; Lenz’s law; electromagnetic breaking and its applications; Differential form of Faraday’s law expressing curl of electric field in terms of time-derivative of magnetic field and calculating electric field due to changing magnetic fields in quasi-static approximation; Energy stored in a magnetic field.
MODULE 6: DISPLACEMENT CURRENT, MAGNETIC FIELD DUE TO TIME-DEPENDENT ELECTRIC FIELD AND MAXWELL’S EQUATIONS
Continuity equation for current densities; Modifying equation for the curl of magnetic field to satisfy continuity equation; displace current and magnetic field arising from time- dependent electric field; calculating magnetic field due to changing electric fields in quasi- static approximation. maxwell’s equation in vacuum and non-conducting medium; energy in an electromagnetic field; flow of energy and poynting vector with examples. qualitative discussion of momentum in electromagnetic fields.
MODULE 7: ELECTROMAGNETIC WAVES
The wave equation; plane electromagnetic waves in vacuum, their transverse nature and polarization; relation between electric and magnetic fields of an electromagnetic wave; energy carried by electromagnetic waves and examples. momentum carried by electromagnetic waves and resultant pressure. reflection and transmission of electromagnetic waves from a non-conducting medium-vacuum interface for normal incidence.
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