We think you have liked this presentation. If you wish to download it, please recommend it to your friends in any social system. Share buttons are a little bit lower. Thank you!
Presentation is loading. Please wait.
Published byDonovan Fugler
Modified over 4 years ago
Maxwell’s Equations and Electromagnetic Waves
Setting the Stage - The Displacement Current Maxwell had a crucial “leap of insight”... Will there still be a magnetic field around the capacitor?
A Beautiful Symmetry... A changing magnetic flux produces an Electric field A changing electric flux produces a Magnetic field
An extension of Ampere’s Law... Maxwell reasoned that Ampere’s Law would also apply to the displacement current. Clever application of Gauss’ Law here!
Maxwell’s Equations (first glimpse) Faraday’s Law: Ampere’s Law:
Maxwell’s Equations – Integral Form Faraday’s Law: Ampere’s Law: Gauss’ Law
Maxwell’s Equations – Differential Form Gauss’ Theorem – integral of a flux equals volume integral of divergence
Maxwell’s Equations – Differential Form Stoke’s Theorem: “Integral around the path equals flux of the curl”
Maxwell’s Equations – Differential Form
The Wave Equation How fast will a wave travel along a string of density ?
Two Ways to M’Es… Abstract: Physical: –Imagine a plane wave of electric field in z- direction
Go to Rob Salgado’s sim of this
Moving Fields… Moving E-Field leads to… Moving B-Field leads to…
It’s Alive! Well, at least it’s a wave! Combining the last two equations leads us to: example - consider the electric field part of an electromagnetic wave described by:
The Poynting Vector Light waves (and all electromagnetic waves) carry energy A wave has an intensity Poynting Vector
Radiation Pressure Light waves (and all electromagnetic waves) exert pressure
Accelerating Charges Radiate Power! We can show (by dimensional argument) that an accelerating charge should radiate energy at a rate given by: More detailed argumentation reveals that = 2/3
PH0101 UNIT 2 LECTURE 2 Biot Savart law Ampere’s circuital law
MAXWELL’S EQUATIONS 1. 2 Maxwell’s Equations in differential form.
AP Physics C Montwood High School R. Casao
29. Maxwell’s Equations. 2 Topics Laws of Electric & Magnetic Fields James Clerk Maxwell Maxwell’s Equations.
Electromagnetic Waves Maxwell`s Equations Lecture 23 Thursday: 8 April 2004.
Maxwell’s Equations & Electromagnetic Waves We now want to explore how the principles of Electric & Magnetic Fields lead to an understanding of light &
Dr. Alexandre Kolomenski
PH0101 UNIT 2 LECTURE 31 PH0101 Unit 2 Lecture 3 Maxwell’s equations in free space Plane electromagnetic wave equation Characteristic impedance
Lecture 35: MON 17 NOV CH32: Maxwell’s Equations I
Fundamentals of Electromagnetics: A Two-Week, 8-Day, Intensive Course for Training Faculty in Electrical-, Electronics-, Communication-, and Computer-
Electromagnetism week 9 Physical Systems, Tuesday 6.Mar. 2007, EJZ Waves and wave equations Electromagnetism & Maxwell’s eqns Derive EM wave equation and.
1 Electromagnetism We want to apply the reaction theory developed in the first few lectures to electronuclear interactions. It is worthwhile reviewing.
Chapter 31 Maxwell’s Equations and Electromagnetic Waves.
1 W15D1: Poynting Vector and Energy Flow Today’s Readings: Course Notes: Sections 13.6,
Happyphysics.com Physics Lecture Resources Prof. Mineesh Gulati Head-Physics Wing Happy Model Hr. Sec. School, Udhampur, J&K Website: happyphysics.com.
Lecture 37: WED 22 APR CH32: Maxwell’s Equations I James Clerk Maxwell ( ) Physics 2113 Jonathan Dowling.
8/5/08Lecture 2 Part 21 Maxwell’s Equations of the Electromagnetic Field Theory Gauss’s Law – charge makes an electric field The magnetic field is solenoidal.
p.1067 Ch 34 Electromagnetic Waves 34.1 Displacement Current and the General Form of Ampere’s Law I d = 0 d E /dt B·ds = 0 (I + I d )
EEE340Lecture : Magnetic Forces and Torques A moving charge q with velocity in a magnetic field of flux density experiences a force This equation.
Electromagnetism Giancoli Ch Physics of Astronomy, winter week 7
© 2019 SlidePlayer.com Inc. All rights reserved.