FIELD THEORY

EE-302

Credit: 4

**Module I**

**Introduction: **Co-ordinate systems and transformation, Cartesian coordinates, Circular cylindrical coordinates, Spherical coordinates & their transformation. Differential length, area and volume in different coordinate systems. Solution of problems

**Module II**

**Introduction to Vector calculus:** DEL operator, Gradient of a scalar, Divergence of a vector & Divergence theorem, Curl of a vector & Strokes theorem, Laplacian of a scalar, Classification of vector fields, Helmholtz’s theorem. Solution of problems

**Module III**

**Electrostatic field:** Coulomb’s law, field intensity, Gauss’s law, Electric potential and Potential gradient, Relation between E and V, an Electric dipole and fluxlines. Energy density in electrostatic field.**Boundary conditions:** Dielectric-dielectric, Conductor –dielectric, Conductor-free space. Poisson’s and Laplace’s equation, General procedure for solving Poisson’s and Laplace’s equation. Solution of problems

**Module IV**

**Magneto static fields: **Biot- savart law, Ampere’s circuit law, Magnetic flux density, Magnetic static and Vector potential, Forces due to magnetic field, Magnetic torque and moments, Magnetisation in material, Magnetic boundary condition, Inductor and Inductances, Magnetic energy, Force on magnetic material. Solution of problems

**Module V**

**Electromagnetic fields:** Faraday’s law, Transformer and motional emf, Displacement current, Maxwell’s equations, Time varying Potential, Time harmonic fields. Solution of problems

**Module VI**

**Electromagnetic wave propagation:** Wave equation, Wave propagation in lossy dielectric, Plane waves in loss less dielectric, Plane wave in free space, Plane wave in good conductor, Skin effect, Skin depth, Power & Poynting vector, Reflection of a plane wave at normal incidence, reflection of a plane wave at oblique incidence, Polarisation. Solution of problems

**Module VII**

**Transmission line:** Concept of lump & distributed parameters, Line parameters, Transmission line equation & solutions, Physical significance of solutions, Propagation constants, Characteristic impedance, Wavelength, Velocity of propagation. Solution of problems

**Text Books:**

- 1. Elements of Electromagnetic, Mathew N.O. Sadiku, 4th edition, Oxford university press.
- 2. Engineering Electromagnetic, W.H. Hyat & J.A. Buck, 7th Edition, TMH
- 3. Theory and problems of Electromagnetic, Edminister, 2nd Edition, TMH
- 4. Electromagnetic field theory fundamentals, Guru & Hizroglu, 2nd edition, Cambridge University Press.

**Reference Books:**

- 1. Electromagnetic with application, Krause, 5th Edition, TMH.
- 2. Elements of Engineering Electromagnetic, N.N. Rao, 6th Edition, Pearson Education.