Syllabus:
This is a calculus course covering the basic laws and phenomena
in Electricity and Magnetism, AC Theory and Electronics and Modern
Physics.
ELECTRICITY AND MAGNETISM (12 lectures)
Electric Field and Potential
Electric field E due to extended charge distributions (e.g. line,
ring and arc).
Integral and differential expressions relating the electric potential
V to the field E.
Potential due a dipole and other extended charge distributions.
Gauss’ Law and its application to problems with spherical,
cylindrical and rectangular symmetry.
Capacitance
Calculation of the capacitance of various capacitors.
Energy stored in a capacitor.
RC circuits. Time constant.
Magnetism
Magnetic force on current-carrying wire and its application to cases
needing calculus treatment. Magnetic torque on a current loop. Magnetic
moment of a current loop. The Hall Effect.
Biot-Savart Law and Ampere’s Law. Their application to long
current-carrying wire, loop and solenoid.
Induction
Faraday’s Law and Lenz’s Law.
Electromagnetic induction and its applications. Self-induction.
Inductance. RL circuits.
AC THEORY AND ELECTRONICS (12 lectures)
Basic Electronics
Definition of analogue and digital electronics. Distinguishing between
analogue and digital electronics, highlighting their advantages
and disadvantages. 164.Relevant number systems, viz: binary, octal,
decimal and hexadecimal. Conversion between various number systems.
Logic Gates
Definition of a logic gate.
The AND gate: electrical circuit model, truth table and electronic
symbol. Physical realization from discrete components.
The OR gate: electrical circuit model, truth table and electronic
symbol. Physical realization from discrete components.
The NOT gate: electrical circuit model, truth table and electronic
symbol. Physical realization from discrete components.
The NAND gate and its truth table. The NOR gate and its truth table.
The EXCLUSIVE-OR gate and its truth table. The EXCLUSIVE-NOR gate
and its truth table.
Practical uses of logic gates.
The Junction Diode
The p-n junction under forward and reverse bias.
The diode characteristics.
Rectification: a study of half-wave, full-wave and bridge rectifiers.
Introduction to simple filters.
The Operational Amplifier
Characteristics of ideal op-amps and typical op-amps.
Operational properties of op-amps. Introduction to the concept of
feedback. Distinguish between positive and negative feedback. The
inverting, summing and non-inverting amplifiers.
The differentiator and the integrator.
AC Theory
Introduction to alternating current.
AC applied to a resistive circuit. AC applied to a capacitive circuit.
AC applied to an inductive circuit. AC applied to a series RLC circuit.
Introduction to electrical resonance. Conditions necessary for resonance.
Determination of bandwidth and half-power points.
MODERN PHYSICS (12 lectures)
Bohr Atom
Spectral series for hydrogen.
Bohr’s postulates. Derivation of energy levels. Blackbody
radiation and quantized energy levels (qualitative).
Waves & Corpuscles
Wave-particle duality.
Photoelectric effect. Compton effect.
Energy, momentum and wavelength of a photon.
DeBroglie’s equation. Wave function. Particle in a box.
Special Relativity
Galilean relativity. Einstein’s postulates.
Lorentz transformation. Simultaneity. Time dilation. Length contraction.
Derivation of velocity transformations.
The equation E*E =p*p+mo*mo*c*c*c*c
|
