Field Theory
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Field Theory Syllabus — Unit-wise Content
The official GTU curriculum for Field Theory (subject code 2140909) as prescribed for PE · Semester 4 divides the course into 12 units, covering 68 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (2140909)Unit 1 Vector Analysis
- Scalars and Vectors
- Vector Algebra
- The rectangular co-ordinate system
- Vector components and unit vectors
- The vector field
- The dot product
- The cross product
- Circular cylindrical co-ordinates
- Spherical co-ordinate system
Unit 2 Coulomb’s law and Electric Field Intensity
- The experimental law of Coulomb
- Electric field intensity
- Field due to a continuous volume charge distribution
- Field of a line charge
- Field of a sheet charge
Unit 3 Electric Flux Density, Gauss’ law and Divergence
- Electric flux density
- Gauss’ law, Application of Gauss’ law: some symmetrical charge distributions
- Application of Gauss’ law to differential volume element
- Maxwell’s first equation
- The divergence theorem
Unit 4 Energy and Potential
- Energy expended in moving a point charge in electric field
- The line integral
- Definition of potential and potential difference
- The potential field of a point charge
- The potential field of a system of charges
- Potential gradient
- The dipole
- Energy density in the electrostatic field
Unit 5 Current and Conductors
- Current and current density
- Continuity of current
- Metallic conductors
- Conductor properties and boundary conditions
Unit 6 Dielectrics and capacitance
- The nature of dielectric materials
- Boundary conditions for perfect dielectric materials
- Several capacitance examples
- Capacitance of a two wire line
Unit 7 Poisson’s and Laplace’s Equation
- Derivation of Poisson’s and Lapalce’s equations
- Uniqueness theorem
- Example of the solution of Laplace’s equation Example of solution of Poisson’s equation
Unit 8 The Steady Magnetic Field
- Biot Savart law, Ampere’s circuital law, Curl
- Stoke’s theorem
- Magnetic flux and magnetic flux density
- The scalar and vector magnetic potentials
- Derivation of steady magnetic field laws
Unit 9 Magnetic Forces, Materials and Inductance
- Force on a moving charge
- Force on a differential current element
- Force between differential current elements
- Force and torque on a closed circuit
- The nature of magnetic materials
- Magnetization and permeability
- Magnetic boundary conditions
- The magnetic circuit
- Potential energy and forces on magnetic materials
- Inductance and mutual inductance
Unit 10 Time Varying Fields and Maxwell’s equation
- Faraday’s Law, Displacement current
- Maxwell’s equation in point form
- Maxwell’s equation in integral form
Unit 11 Transmission Lines
- Physical description of transmission line propagation
- The transmission line equation
- Lossless propagation
- Lossless propagation of sinusoidal voltages
- Complex analysis of sinusoidal voltages
- Transmission line equations and their solutions in phasor form
Unit 12 Effects of Electromagnetic Fields
- Electromagnetic Interference and Compatibility (EMI/EMC)
- EMI Sources
- Effects of EMI, Methods to eliminate EMI, EMC Standards
- Advantages of EMC standards
- Biological effects of EMI/EMR (Electromagnetic Interference
- Electromagnetic radiation)
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