SyllabusThe subject will cover the following topics: Mathematical Foundations:
Basic algebra, sigma and delta notation, exponentials and logarithms, vectors, basic probability laws, simple descriptive and inferential statistics.
Kinematics:
Measurement, physical quantities, SI units, vectors, motion equations, uniform circular motion.
Dynamics:
Newtons Laws of motion, friction, inertial forces, gravitational forces, work, energy, conservation of energy, conservation of momentum, impulse, collisions.
Elasticity:
Hookes law, Youngs Modulus, stress and strain. Shear modulus, bulk modulus, fracture and ultimate strength.
Fluids:
Pressure, density, Archimedes principle, Pascals principle, surface tension, capillarity, fluid flow, continuity, Bernoullis equation, viscosity, specific gravity.
Thermal Studies and Kinetic Theory:
Thermal expansion, ideal gas law, Maxwellian distribution, internal energy, specific heat, latent heat, conduction, convection, radiation.
Electrostatics and DC Electricity:
Static electricity, insulators and conductors, Coulombs law, electric field, electric potential and potential difference, capacitance, energy storage, parallel plate capacitor, dielectrics, electromotive force, resistance, resistivity, Ohms law, multi-loop circuits, RC circuits.
Electromagnetism:
Magnetism, earths magnetic field, magnetic force on a moving charged particle, magnetic force on electric current, torque on current loop, lines of B, long solenoid.
Electromagnetic Induction:
Induced EMF, magnetic flux, Faradays Law of Induction, Lenzs Law, motional EMFs, generators, back EMFs, self inductance, RL circuits, energy stored in B field.
AC Circuits:
Resistors, capacitors and inductors in AC Circuits, RLC series circuit, power in an AC circuit, resonance in a series RLC circuit, the transformer and autotransformer.
Basic Electronics:
Semiconductors, diodes, transistors, thyristors and triacs, basic electronic circuits used in radiological applications (eg switches, filters, detection, logic circuit elements).
Basic x-ray circuit:
Primary circuit, secondary circuit, I2R losses.
Heat characteristics in x-ray tubes:
Power rating of tubes, Stefans Law and cooling curves, relationship to I-V waveform.
Oscillations and Waves:
Simple harmonic motion (SHM) and Hookes law, elastic potential energy and kinetic energy of vibrating objects, vibration velocity, period and frequency, equation for SHM, description of waves, properties of waves (superposition and interference), wave interactions, Fourier synthesis and analysis, wave phenomena, resonance.
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