Lecture_26

Lecture_26 - Maxwell's Equations Four equations (integral...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Four equations (integral form) : Gauss’s law Gauss’s law for magnetism Faraday’s law Ampere-Maxwell law ! " = # 0 ˆ $ inside q dA n E ! ! B ! ˆ ndA " " = 0 [ ] ! ! " # = " dA n B dt d l d E ˆ ! ! ! ! " # $ % + = ( ) * dt d I l d B elec path inside 0 _ 0 + μ ! ! + Lorentz force B v q E q F ! ! ! ! ! + = Maxwell’s Equations
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Time varying magnetic field makes electric field Time varying electric field makes magnetic field Do we need any charges around to sustain the fields? Is it possible to create such a time varying field configuration which is consistent with Maxwell’s equation? Solution plan: • Propose particular configuration • Check if it is consistent with Maxwell’s eqs • Show the way to produce such field • Identify the effects such field will have on matter • Analyze phenomena involving such fields Fields Without Charges
Background image of page 2
vE B 0 0 ! μ = E=Bv vBv B 0 0 = 2 0 0 1 v = m/s 8 0 0 10 3 1 ! = = " v Based on Maxwell’s equations, pulse must propagate at speed of light A Pulse: Speed of Propagation Faraday’s law Ampere’s law E=cB
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
by vector product B E ! ! ! Direction of Propagation
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 20

Lecture_26 - Maxwell's Equations Four equations (integral...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online