Chapt35_VG

# Chapt35_VG - Chapter 35 Viewgraphs Preview of what is...

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Chapter 35 Viewgraphs

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New! Gives rise to Electromagnetic waves. Moving observers do not agree on the values of the Electric and magnetic fields. Preview of what is coming
Observer S says: F = q E + v × B ( ) q makes E and B Observer S’ says: F = q E v=0 for him, q makes E How can both be right?

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Option A: There is a preferred reference frame (for example S). The laws only apply in the preferred frame. But, which frame? Option B: No frame is preferred. The Laws apply in all frames. The electric and magnetic fields have different values for different observers. Extended Option B: No frame is preferred. The Laws apply in all frames. All observers agree that light travels with speed c. Einstein’s postulates Special Relativity
Integrals around closed loops Gauss’ Law: ! E d ! A " = Q in ε 0 Gauss’ Law: ! B d ! A " = 0 ! B ( ! r ) d ! s = " μ 0 I through Ampere’s Law: loop ! E d ! S " == d dt Φ m through Faraday’s Law: Integrals over closed surfaces What we know about fields - so far

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loop ! E d ! S " == d dt Φ m through Φ m through = ! B Surface d ! A Because for a closed surface ! B d ! A " = 0 Φ m through = ! B Surface A d ! A = ! B Surface B d ! A Faraday’s Law, no problem
! B ( ! r ) d ! s = " μ 0 I through As long as net current leaving surface is zero, again no problem

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Current through surface B is zero

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ε 0 ! E d ! A " = Q in

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B d S = B θ ( r )2 π r Φ e = E d A S = π r 2 E z B d S = μ 0 ( I through + ε 0 d Φ e dt ) B θ ( r ) = μ 0 ε 0 r 2 E z t Recall from Faraday: E θ ( r ) = r 2 B z t

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## This note was uploaded on 12/28/2011 for the course PHYSICS 270 taught by Professor Drake during the Fall '08 term at Maryland.

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Chapt35_VG - Chapter 35 Viewgraphs Preview of what is...

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