PHY2021 
Electromagnetism I 
201819 

Prof. M.R. Bate 


Delivery Weeks: 
T1:0111 

Level: 
5 (NQF) 

Credits: 
15 NICATS / 7.5 ECTS 

Enrolment: 
160 students (approx) 

Description
This module surveys the phenomena associated with electrostatics (charges at rest) and
magnetostatics (the magnetic effects associated with steady currents). It introduces and develops
the use of the electric and magnetic field vectors and relates them by considering electromagnetic
induction at a classical level. The connection between these fields and conventional lumpedcircuit
parameters R, C and L is also developed.
This module relies on, and develops, student's ability to apply vector analysis. Maxwell's equations
in differential form will be developed systematically, starting from the force between two charged
particles, thereby building a firm foundation for the study of more advanced material in PHY3051 Electromagnetism II.
Module Aims
The electromagnetic force holds atoms, molecules and materials together and plays a vital role in
our understanding of almost all existing and potential technological developments. Electromagnetism
is the second strongest of the four basic interactions of Physics. Its laws, as enunciated by James
Clerk Maxwell, enable physicists to comprehend and exploit an enormous range of phenomena.
Intended Learning Outcomes (ILOs)
A student who has passed this module should be able to:

Module Specific Skills and Knowledge:
 define the fields commonly used in electromagnetism, and state the laws these fields obey;
 describe the vector nature of the electric field and its relation to a scalar potential;
 calculate the electric field due to static charges and charge distributions, using Coulomb's law or Gauss's law
as appropriate and to relate this to the electrostatic energy of the system;
 describe the vector nature of a static magnetic field and its relation to a vector potential;
 calculate the magnetic fields, using the BiotSavart law or Ampère's law as
appropriate for circuits and steady current distributions;
 calculate the electric and/or magnetic forces acting on quasistatic systems;
 state the differential and integral forms of the vector laws of electromagnetism
and use them to solve a range of problems;
 relate the electric and magnetic field vectors in circumstances where Faraday's law is
valid, solve related problems, give examples of practical applications;
 relate the circuit parameters to the fields and the energy of those fields; know the
features of transient response for circuit parameters in simple circuits;
 state Maxwell's equations and explain how they can be related to the force between two
particles;
 use vector analysis to apply Maxwell's equations and solve standard problems;

Discipline Specific Skills and Knowledge:
 apply principles of electromagnetism to a range of practical applications;
 use symmetry to reduce the number of variables in a problem;

Personal and Key Transferable / Employment Skills and Knowledge:
 use a range of resources to develop an understanding of topics through independent study;
 meet deadlines for completion of work for problems classes and develop appropriate
timemanagement strategies.
Syllabus Plan

Introduction
 Brief historical survey

Revision of Vector Analysis
 Transformation properties
 Gradient of a scalar field
 Vector properties of the 'Del' operator
 Divergence of a vector field
 Curl of a vector field and Stokes's theorem
 Curvilinear coordinate systems

Fields
 The force between two charged particles
 Definition and properties of E
 Interpretation of divergence; the continuity equation
 Flux and the divergence theorem
 Charge distribution and Gauss's law
 Electrostatic potentials

Electrostatic Fields in Matter
 Simple electric dipole
 Multipole distributions
 Capacitors
 Electric permitivity (constant)
 Polarisation P and displacement D in linear dielectric media
 Surface and volume polarization
 Boundary conditions for electric fields
 Energy density of the electrostatic field

Electrostatic Systems
 Laplaces's and Poisson's equations
 General properties of solutions to Laplaces's equation
 Analytic solutions to Laplace's equation in special cases
 Solutions to singlevariable problems
 Solutions to twovariable problems
 Electrostatic images

Magnetostatic Fields in Matter
 Definition and properties of B
 Ampère's law
 Magnetic vector potential A
 FaradayLenz law
 Magnetic permeability (constant)
 Magnetisation M and Magneticfield intensity H in linear magnetic media
 Boundary conditions for macroscopic magnetic fields
 Energy density of magnetic field

Electromagnetic Systems
 Steady currents in the presence of magnetic materials
 Forces in magnetic fields
 Electromagnetic induction for stationary magnetic media
 Inductors and transformers
 Faraday's law
 Measurement of susceptibilities

Conclusions
 Maxwell's equations
 Energy density of an electromagnetic field
 The Poynting vector
 Summary
Learning and Teaching
Learning Activities and Teaching Methods
Description 
Study time 
KIS type 
22×1hour lectures 
22 hours

SLT 
5×6hour selfstudy packages 
30 hours

GIS 
8×2hour problems sets 
16 hours

GIS 
Problems class support 
8 hours

SLT 
Tutorial support 
3 hours

SLT 
Reading, private study and revision 
71 hours

GIS 
Assessment
Weight 
Form 
Size 
When 
ILOS assessed 
Feedback 
0% 
Exercises set by tutor 
3×1hour sets (typical) 
Scheduled by tutor 
115 
Discussion in tutorials

0% 
Guided selfstudy 
5×6hour packages 
Fortnightly 
115 
Discussion in tutorials

10% 
8 × Problems sets 
2 hours per set 
Weekly 
115 
Marked in problems class, then discussed in tutorials

15% 
Midterm test 
30 minutes 
Weeks T1:06 
114 
Marked, then discussed in tutorials

75% 
Examination 
120 minutes 
January 
114 
Mark via MyExeter, collective feedback via ELE and solutions. 
Resources
The following list is offered as an indication of the type & level of information that
students are expected to consult. Further guidance will be provided by the Module Instructor(s).
Core text:
Supplementary texts:

Good R.H. (1999), Classical Electromagnetism, Saunders College Publishing, ISBN 0030223539 (UL: 537 GOO)

Lorrain P., Corson D.R. and Lorrain F. (1987), Electromagnetic Fields and Waves (3^{rd} edition), Freeman, ISBN 0716718693 (UL: 530.141 LOR)

Reitz J.R., Milford F.J. and Christy R.W. (1993), Foundations of Electromagnetic Theory (4^{th} edition), AddisonWesley, ISBN 0201526247 (UL: 530.141 REI)
ELE:
Further Information
Prior Knowledge Requirements
Prerequisite Modules 
Mathematics for Physicists (PHY1026) 
Corequisite Modules 
none 
Reassessment
Reassessment is not available except when required by referral or deferral.
Original form of assessment 
Form of reassessment 
ILOs reassessed 
Time scale for reassessment 
Whole module 
Written examination (100%) 
114 
August/September assessment period 
Notes: See Physics Assessment Conventions.
KIS Data Summary
Learning activities and teaching methods 
SLT  scheduled learning & teaching activities 
33 hrs 
GIS  guided independent study 
117 hrs 
PLS  placement/study abroad 
0 hrs 
Total 
150 hrs 


Summative assessment 
Coursework 
10% 
Written exams 
90% 
Practical exams 
0% 
Total 
100% 

Miscellaneous
IoP Accreditation Checklist 
 EM01 Electrostatics and magnetostatics.
 EM02 DC and AC circuit analysis to the level of complex impedance, transients and resonance.
 EM03 Gauss, Faraday, Ampère, Lenz and Lorentz laws to the level of their vector expression.

Availability 
unrestricted 
Distance learning 
NO 
Keywords 
Physics; Charge; Circuit theory; Electromagnetic fields; Electrostatics; Energy; Induction; Magnetostatics; Maxwell's equations; Vector analysis. 
Created 
01Oct10 
Revised 
01Oct11 