# 2K6EE 503: FIELD THEORY￼

**Module I: (16 hours)**

Electric field : Co-ordinate System and transformations – Cartesian co-ordinates – circular cylindrical co-ordinates – spherical co-ordinates – relation between Cartesian, cylindrical and spherical co-ordinates Vector calculus – Del operator – Gradient of a scalar – Divergence of a vector – Curl of a vector – Laplacian of a vector – Divergence theorem – Stoke’s theorem. Electrostatics – Electric field concept – Electric field intensity – Electric field due to continuous charge distributions – Electric flux – Gauss’s law – Applications – Electric scalar potential – Electric dipole moment – Electric fieldpolarization – Condition at boundary between dielectrics – Capacitance of an isolated sphere –Spherical capacitor – Capacitance between co-axial cylinder- Capacitance between parallel wires.**Module II: (16 hours)**

Magnetic field: Magnetic circuit and electric circuit – Magnetic field intensity – Magnetic flux density – mmf – Flux – reluctance – Comparative study with electric and magnetic circuit – Lorentz force – Biot –Savart’s law and Ampere’s circuital law – H due to a long wire – H due to a long solenoid – H due to an infinite current sheet – H due to a circular wire loop – Skin effect – Faraday’s laws of Electromagnetic induction – inductance and mutual inductance – Self inductance of toroid and toroidal solenoid – Lifting power of an electromagnet – Force and torque in terms of stored energy – Torque on a closed circuit Magnetic vector potential and magnetic scalar potential – Helmholt’s theorem – Magnetic dipole – Magnetic force on a charged particle – Force on a current element – Magnetic boundary conditions.**Module III: (10 hours) **

Maxwell’s equations: Faraday’s law – Displacement current – Maxwell’s equations in point form – Maxwell’s equations in integral form and differential form – Boundary conditions. The uniform plane wave – Propagation in free space – Plane wave propagation in loss less dielectrics – Plane wave in good conductor – Poynting theorem and wave power – Complex pointing theorem – Poynting vector.**Module IV: (10 hours)**

Waves and transmission lines: Polarization of electromagnetic waves – Wave polarization – Elliptically and circularly polarized waves – Reflection and refraction of plane electromagnetic wave oblique – Law of refraction (Snell’s law) – Brewster’s law . Transmission line parameters – Standing wave ratio – Impedance matching – Stub matching – Phase velocity andgroup velocity – Characteristic impedance – Reflection co-efficient – Reflection and transmission of plane wave at boundaries.

**Text books**

1. Hayt W.H., Engineering Electromagnetics, McGraw Hill

2. Premlet B., Electromagnetic Theory with Applications, Phasor Books

3. K A Gangadhar, Field Theory, Khanna Publishers

4. V V Sawate, Electromagnetic Fields and Waves, New Age international**Reference books**

1. Guru & Hiziroglu, Electromagnetic Field Theory, Fundamentals

2. John D. Kraus, Electromagnetics, McGraw Hill

3. S P Seth, Elements of Electromagnetic Fields, Danapath Rai & Co

4. R Meenakumari & Subasri, Electromagnetic fields, New Age International

5. David K. Cheng, Field and Wave Electromagnetics, Addison Wesley