Here is a breakdown of the specific concepts typically covered under each section of this syllabus:
1. Electrostatics & Magnetostatics
- Electric Fields: Coulomb’s law, electric field intensity, scalar potential, Gauss’s law, and its applications to symmetric charge distributions.
- Dielectrics: Electric polarization, displacement vector (\(\vec{D}\)), boundary conditions at dielectric interfaces, and capacitor physics.
- Steady Currents: Kirchhoff’s laws, Network theorems, and transient currents in RC, LR, and LCR circuits.
- Magnetic Fields: Biot-Savart law, Ampere’s circuital law, Lorentz force, magnetic dipole moment, and the properties of dia-, para-, and ferromagnetic materials.
2. Electromagnetic Induction & Maxwell’s Equations
- Induction: Faraday’s law of induction, Lenz’s law, self-inductance (\(L\)), and mutual inductance (\(M\)).
- Maxwell’s Equations: Displacement current, Maxwell’s four equations in differential and integral forms, and boundary conditions for electromagnetic fields.
- Wave Propagation: Poynting’s vector (energy flow), reflection, refraction, and polarization of electromagnetic waves in vacuum and isotropic linear dielectrics.
3. Special Theory of Relativity
- Foundations: Galilean invariance, the Michelson-Morley experiment, and Einstein’s postulates.
- Lorentz Transformations: Kinematic consequences including length contraction, time dilation, and the relativity of simultaneity.
- Relativistic Dynamics: Mass-energy equivalence (\(E = mc^2\)), relativistic momentum, and four-vectors.
- Electromagnetism link: How electric and magnetic fields transform into one another when observed from different inertial frames of reference.
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