Module description
This module builds on the foundations laid in PH12510. Topics covered include electrostatics, dielectrics, magnetic fields, magnetic fields in matter, electromagnetic induction, alternating currents and resonance, transmission lines, Maxwell's equations.

Learning outcomes
After taking this module students should be able to:

• apply the differential operators of vector calculus to electromagnetic problems.
• understand the four basic laws of electromagnetism and their applications.
• understand the effects of matter on electric and magnetic fields and the boundary conditions for such fields.
• solve problems on resonance in alternating current circuits.
• understand the basic properties of transmission lines for the propagation of electrical signals.

Additional learning activities
Videocassette Sessions.

Outline syllabus
Vector Calculus:
Recap, grad, div, curl, divergence theorem, Stokes' theorem, vector identities.

Electrostatics:
Electric charge and field, Gauss' law in differential form, electrostatic energy, potential, capacitors, dielectrics, polarisation, electric displacement, boundary conditions for D and E, Poisson's equation, electrostatic calculations.

Magnetic Fields:
Lorentz force, magnetic dipole, Ampere's law in differential form, magnetic vector potential, Biot-Savart law, magnetic flux, magnetisation, magnetic intensity, boundary conditions for B and H, hysteresis.

Electromagnetic Induction:
Faraday's law in differential form, inductance, magnetic energy.

Alternating Currents:
Phasors, resonance.

Transmission Lines:
Wave propagation on lossless line, practical lines, reflections, input impedance, matching.

Maxwell's Equations:
Equation of continuity, displacement current, Maxwell's equations.