Course Objectives:

• To develop the basic ideas about vectors, vector calculus& co-ordinate system.
• To understand the ideas of electromagnetics including Static and dynamic electromagnetic (EM) fields, energy, and power.
• To study and interpret Divergence theorem, Stoke’s theorem, Gauss’s law, Biot-Savart law, Curl, Ampere’s law, Farayay’s law, Boundary conditions and Maxwell’s equations.
• To relate the knowledge of EM to important applications.

Course Outcomes (COs):

• Describe the physical interpretation of vector calculus operations.
• Analyze and visualize different types of co-ordinates system.
• Interpret visualizations of electric fields, electric scalarpotentials, magnetic fields and different theorems/laws (Divergence theorem, Stoke’stheorem, Biot-Savart law, Curl, Ampere’s law, Farayay’s law etc)along with boundary conditions and Maxwell’s equations.
• Apply the knowledge and understanding to explain how electromagnetic phenomena are utilized and also the principles to perform required calculations.

Course Contents:

• Vector Analysis: Scalars and Vectors, Vector Algebra, Unit Vector, Cartesian Co-ordinate System, Cylindrical Co-ordinate System, Spherical Co-ordinate System, The Dot Product and The Cross Product.

• Coulomb’s Law and Electric Field Intensity: The Experimental Law of Coulomb, Electric Field Intensity, Electric Fields due to Continuous Charge Distribution, Field due to a Continuous Volume Charge Distribution, Field of a Line Charge and Field of a Sheet Charge.

• Electric Flux Density, Gauss’s Law and Divergence: Electric Flux Density, Gauss’s Law, Application of Gauss’s Law, Divergence Theorem and Maxwell’s First Equation (Electrostatics).

• Energy and Potential: Energy expanded in moving a Point Charge in an Electric Field, The Line Integral, Electric Potential, Potential Difference, Potential Gradient, The Dipole and Energy Density in the Electrostatic Field.

• Conductors, Dielectrics, Resistance and Capacitance: Current, Current Density, Continuity of Current, Conductors, Resistance, Boundary Conditions and Capacitance.

• Poisson’s and Laplace’s equations: Poisson’s and Laplace’s equations, Examples of solutions of Poisson's and Laplace equations

• The Steady Magnetic Field: Biot-Savart Law, Ampere’s Circuital Law, Curl, Stokes’ Theorem, Magnetic Flux and Magnetic Flux Density.

• Magnetic Forces, Materials and Inductance: Magnetic Forces, Magnetic Boundary Conditions, Magnetic Circuit, Inductance and Mutual Inductance.

• Time-Varying Fields and Maxwell’’s Equations: Faraday’s Law, Maxwell’s Equations in Point form and Maxwell’s Equations in Integral form.