Module Identifier PH32510
Module Title ELECTROMAGNETISM
Co-ordinator Dr Eleri Pryse
Semester Semester 1
Other staff Dr Xing Li
Pre-Requisite Core Physics Modules at Levels 1 & 2
Course delivery Lecture   20 lectures
Assessment
Assessment TypeAssessment Length/DetailsProportion
Semester Exam2 Hours end of semester examination for BSc students  80%
Semester Exam3 Hours end of semester examination for MPhys students  80%
Semester Assessment Course Work: Two examples sheets by Semester week 7 and Semester week 11  20%

Learning outcomes

After taking this module students should be able to:
• apply the differential operators of vector calculus to electromagnetic problems.
• describe the four basic laws of electromagnetism and their applications.
• explain the effects of matter on electric and magnetic fields and the boundary conditions for such fields.
• solve problems on resonance in alternating current circuits.
• describe the basic properties of transmission lines for the propagation of electrical signals.

Brief description

This module builds on the foundations laid in PH125020, and presents the concepts of electromagnetism introduced in the earlier module in terms of vector calculus. Topics covered include electrostatics, dielectrics, magnetic fields, magnetic fields in matter, electromagnetic induction, alternating currents and resonance, transmission lines, Maxwell's equations.

Content

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.