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Physics 1425: General Physics I - Galileo and Einstein

Physics 1425: General Physics I - Galileo and Einstein

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Maxwell’s Solution<br />

• Maxwell knew Faraday had generalized the<br />

electrostatic law to include a time-varying magnetic<br />

field by adding the changing flux through the curve:<br />

• He noticed that when Ampère’s law failed, there was<br />

a time-varying electric field through the surface<br />

roofing the curve, <strong>and</strong> suggested including it like this:<br />

<br />

• (Writing<br />

<br />

<br />

E d d / dt B dA d<br />

/ dt<br />

<br />

d<br />

<br />

<br />

B d 0 I 0<br />

E dA 0I 0<br />

0<br />

d<br />

E<br />

/ dt<br />

dt <br />

<br />

E dA<br />

<br />

E<br />

, the electric flux.)<br />

<br />

B

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