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# P16 PH333 5.3.1-5.3.4

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## Richard Datwyler

on 14 November 2018

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#### Transcript of P16 PH333 5.3.1-5.3.4

Ampere's Law
5.3.1 Straight-line Currents
5.3.2 Divergence and curl of B
5.3.3 Ampere's Law
5.3.4 E vs. B
Straight-Line Currents
I
B
B
Generalize
Stoke's Theorem
infinite line current
Divergence of B
product rule
0
0
Curl of B
drop the other terms that are zero.
2 changes
product rule again.
Ampere's Law
Ampere's Law
Is always true, but not always nice.
like Gauss' law (nice symmetries)
Infinite straight lines
Infinite Planes
Infinite solenoids
Toroids
Solenoid
Comparing E and B
Ampere's Law
Gauss's Law
Maxwell's equations for electro and magnetostatics.
Lorentz force
Final Thoughts
statics, nothing is really changing
No magnetic Monopoles
E field is much bigger than B
"I'm not understanding how the magnetic field can be zero outside the enclosed current area. How is that? Especially since magnetic fields are felt in free space. "
"A walk-through (or at least a set-up) example of Ampere's Law with each surface would be great."
" I also didn't get how they applied the right hand rule in some of the cases."
"why can't there be any magnetic monopoles?"
"Why does Nabla not depend on primed coordinates?"
"Does the current density only lie within the material because the source charges for the surface of a material is infinite? I was just a bit confused about the reasoning."
"When it comes to describing the enclosed current how do you equate that to K, J, and I?"
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