## EC2253-ELECTROMAGNETIC FIELDS |

STATIC ELECTRIC FIELDS |

Introduction to Co-ordinate System – Rectangular – Cylindrical and Spherical Co-ordinate System – Introduction to line, Surface and Volume Integrals – Definition of Curl, Divergence and Gradient – Meaning of Stokes theorem and Divergence theorem
Coulomb’s Law in Vector Form – Definition of Electric Field Intensity – Principle of Superposition – Electric Field due to discrete charges – Electric field due to continuous charge distribution - Electric Field due to charges distributed uniformly on an infinite and finite line – Electric Field on the axis of a uniformly charged circular disc – Electric Field due to an infinite uniformly charged sheet.
Electric Scalar Potential – Relationship between potential and electric field - Potential due to infinite uniformly charged line – Potential due to electrical dipole - Electric Flux Density – Gauss Law – Proof of Gauss Law – Applications. |

STATIC MAGNETIC FIELD |

The Biot-Savart Law in vector form – Magnetic Field intensity due to a finite and infinite wire carrying a current I – Magnetic field intensity on the axis of a circular and rectangular loop carrying a current I – Ampere’s circuital law and simple applications.
Magnetic flux density – The Lorentz force equation for a moving charge and applications – Force on a wire carrying a current I placed in a magnetic field – Torque on a loop carrying a current I – Magnetic moment – Magnetic Vector Potential. |

ELECTRIC AND MAGNETIC FIELDS IN MATERIALS |

Poisson’s and Laplace’s equation – Electric Polarization-Nature of dielectric materials- Definition of Capacitance – Capacitance of various geometries using Laplace’s equation – Electrostatic energy and energy density – Boundary conditions for electric fields – Electric current – Current density – point form of ohm’s law – continuity equation for current.
Definition of Inductance – Inductance of loops and solenoids – Definition of mutual inductance – simple examples. Energy density in magnetic fields – Nature of magnetic materials – magnetization and permeability - magnetic boundary conditions. |

TIME VARYING ELECTRIC AND MAGNETIC FIELDS |

Faraday’s law – Maxwell’s Second Equation in integral form from Faraday’s Law – Equation expressed in point form.
Displacement current – Ampere’s circuital law in integral form – Modified form of Ampere’s circuital law as Maxwell’s first equation in integral form – Equation expressed in point form. Maxwell’s four equations in integral form and differential form.
Poynting Vector and the flow of power – Power flow in a co-axial cable – Instantaneous Average and Complex Poynting Vector. |

ELECTROMAGNETIC WAVES |

Derivation of Wave Equation – Uniform Plane Waves – Maxwell’s equation in Phasor form – Wave equation in Phasor form – Plane waves in free space and in a homogenous material.
Wave equation for a conducting medium – Plane waves in lossy dielectrics – Propagation in good conductors – Skin effect.
Linear, Elliptical and circular polarization – Reflection of Plane Wave from a conductor – normal incidence – Reflection of Plane Waves by a perfect dielectric – normal and oblique incidence. Dependence on Polarization. Brewster angle. |

REFERENCE |

Text Books |

1.W H.Hayt & J A Buck : “Engineering Electromagnetics” TATA McGraw-Hill, 7th Edition 2007 (Unit I,II,III ).
2.E.C. Jordan & K.G. Balmain “Electromagnetic Waves and Radiating Systems.” Pearson Education/PHI 4nd edition 2006. (Unit IV, V). |

Reference Books |

1.Matthew N.O.Sadiku: “Elements of Engineering Electromagnetics” Oxford University Press, 4th edition, 2007
2.Narayana Rao, N : “Elements of Engineering Electromagnetics” 6th edition, Pearson Education, New Delhi, 2006.
3.Ramo, Whinnery and Van Duzer: “Fields and Waves in Communications Electronics” John Wiley & Sons ,3rd edition 2003.
4.David K.Cheng: “Field and Wave Electromagnetics - Second Edition-Pearson Edition, 2004.
5.G.S.N. Raju, Electromagnetic Field Theory & Transmission Lines, Pearson Education, 2006 |