Physics 1425: General Physics I - Galileo and Einstein
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