CBCGS [2018 - current]
CBGS [2014 - 2017]
Old [2000 - 2013]
Units and Topics
| # | Unit/Topic | Marks |
|---|---|---|
| 100 | Vector Basics | - |
| 200 | Static Electric Fields | - |
| 300 | Static Magnetic Fields | - |
| 400 | Electric and Magnetic Fields in Materials | - |
| 500 | Time Varying Electric and Magnetic Fields | - |
| 600 | Wave Theory | - |
| Total | - |
Syllabus
100 Vector Basics
- 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 .
200 Static Electric Fields
- 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 line charge– 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 Introduce applications of electrostatic fields – electrostatic discharge, high dielectric constant material.
300 Static Magnetic Fields
- The Biot-Savart’s 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.
400 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 –magnetic boundary conditions.
- Estimation and control of electric stress- control of stress at an electrode edge
500 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.
600 Wave Theory
- 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.
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