PHYS30441
Electrodynamics (M)
10
Semester 1
Undergraduate
Level 3
Terence Wyatt
Unit coordinator
Department of Physics & Astronomy
1
FHEQ level (Framework for Higher Education Qualifications) ' Last part of a Bachelors '
European Credit Transfer & Accumulation System Rating : 5.0
<p>Electromagnetic Radiation (M)</p>
<p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">1.<strong style="box-sizing:inherit;"> Revision and Preparation for More Advanced Material </strong>(6 lectures and optional pre-recorded revision videos)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">Definition of the scalar and vector potentials. Electrostatics and magnetostatics: Poisson's equation; multipole expansions. Maxwell's field equations. The inhomogeneous wave equations for the potentials and their solutions: the Lorenz gauge and retarded time. Index notation for vector calculus in 3-dimensions. Visualising retarded time: the appearance of objects moving at close to the speed of light. Revision of 1st year special relativity. Consistency of Maxwell's equations and special relativity.</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"> </p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">2.<strong style="box-sizing:inherit;"> Special Relativity and</strong> <strong style="box-sizing:inherit;">Electrodynamics in Covariant Notation </strong> (8 lectures)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">Scalars, four vectors and tensors. Covariant and contravariant formalism of Lorentz transformations. Electrodynamics in covariant form: the 4-potential, 4-current and electromagnetic field tensor. 4-momentum and relativistic kinematics/dynamics. The stress-energy-momentum tensor: local conservation of 4-momentum. </p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"> </p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">3.<strong style="box-sizing:inherit;"> Radiation from Accelerating Charges </strong>(6 lectures)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">Lienard-Wiechert potentials. Informal and vector calculus derivations of the fields produced by an accelerating charged particle. Power radiated in the quasi-rest frame: Larmor radiation. Lorentz transformation of the angular distribution of radiated power: bremsstrahlung and synchrotron radiation.</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"> </p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">4<strong style="box-sizing:inherit;">. Harmonically Varying Sources</strong> (2 lectures)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">Multipole radiation: electric (Hertzian) and magnetic dipole radiation; slow-down of pulsars. Rayleigh and Thomson scattering.</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"> </p>
<p>To cover theoretical aspects of electromagnetic fields and radiation.</p>
<p>On completion successful students will be able to<br/>1. use scalar and vector potentials and explain the concept of gauge invariance;<br/>2. demonstrate the compatibility of electrodynamics and special relativity;<br/>3. use Lorentz covariant formalism (scarlars, 4-vectors and tenors) in the context of electrodynamics and special relativity;<br/>4. solve Poisson's equation and the inhomogenous wave equation;<br/>5. distinguish between radiation fields and other electromagnetic fields;<br/>6. calculate the radiated power produced by accelerating charges.<br/> </p>
<p> </p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">1.<strong style="box-sizing:inherit;"> Revision and Preparation for More Advanced Material </strong>(6 lectures and optional pre-recorded revision videos)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">2.<strong style="box-sizing:inherit;"> Special Relativity and</strong> <strong style="box-sizing:inherit;">Electrodynamics in Covariant Notation </strong> (8 lectures)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">3.<strong style="box-sizing:inherit;"> Radiation from Accelerating Charges </strong>(6 lectures)</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px 0px 1em;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;">4<strong style="box-sizing:inherit;">. Harmonically Varying Sources</strong> (2 lectures).</p><p style="-webkit-text-stroke-width:0px;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;line-height:1.4285em;margin:0px;orphans:2;text-align:start;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-indent:0px;text-transform:none;white-space:normal;widows:2;word-spacing:0px;"> </p>
1
Written exam
100%
<p>Feedback will be offered by examples class tutors based on examples sheets, and model answers will be issued. Some optional sessions will provide extra problem solving opportunities and cover a few interesting “extra-curricular” topics.</p>
PHYS20141
Electromagnetism
Pre-Requisite
Compulsory
<p>For recommneded theory units following this module please see PHYS40202, PHYS40481, PHYS40771 and PHYS40682.</p>
N
<figure class="table" style="width:calc(100% + 2px);"><table class="top attached ui table" style="-webkit-text-stroke-width:0px;background-color:rgb(255, 255, 255);border-collapse:separate;border-radius:0.285714rem 0.285714rem 0px 0px;border-spacing:0px;border:1px solid rgb(212, 212, 213);bottom:0px;box-shadow:none;box-sizing:inherit;color:rgba(0, 0, 0, 0.87);font-family:"Segoe UI", Lato, "Helvetica Neue", Arial, Helvetica, sans-serif;font-size:14px;font-style:normal;font-variant-caps:normal;font-variant-ligatures:normal;font-weight:400;letter-spacing:normal;margin:1em -1px 0px;max-width:calc(100% + 2px);orphans:2;scrollbar-color:auto;text-align:left;text-decoration-color:initial;text-decoration-style:initial;text-decoration-thickness:initial;text-transform:none;top:0px;vertical-align:middle;white-space:normal;widows:2;word-spacing:0px;" id="reading_list_table"><tbody style="box-sizing:inherit;counter-reset:numdivcounter 0;text-align:inherit;vertical-align:inherit;"><tr style="box-sizing:inherit;"><td style="border-top-style:none;box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Introduction to Electrodynamics</td><td style="border-top-style:none;box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">David J. Griffiths</td><td style="border-top-style:none;box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Cambridge University Press</td><td style="border-top-style:none;box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;"><span class="xmobile only" style="box-sizing:inherit;">2023</span></td></tr><tr style="box-sizing:inherit;"><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Classical electrodynamics</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Jackson, John David,</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Wiley</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">1999</td></tr><tr style="box-sizing:inherit;"><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Classical electromagnetic radiation</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Marion, Jerry B.</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Academic Press</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">1980</td></tr><tr style="box-sizing:inherit;"><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">The Feynman lectures on physics : mainly electromagnetism and matter</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Feynman, Richard Phillips.</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">Addison-Wesley</td><td style="border-top:1px solid rgba(34, 36, 38, 0.1);box-sizing:inherit;padding:0.785714em;text-align:inherit;transition:background 0.1s, color 0.1s;">1964</td></tr><tr style="box-sizing:inherit;"><td style="bord
Assessment written exam
2
Lectures
22
0
76