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F16 PH 333 5.2.1-5.3.1

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Richard Datwyler

on 13 November 2018

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Transcript of F16 PH 333 5.2.1-5.3.1

Biot-Savart Law
5.2.1 Steady Currents
5.2.2 Magnetic fields
5.3.1 Straight-Line Currents
Steady Currents
Stationary charges make electrostatics (think static equilibrium)
Steady currents make magnetostatics (think dynamic equilibrium)
Some what artificial. but we will use them as good approximations.
This means the charge distribution can't be changing, otherwise there would be more or less current somewhere. leading too:
Steady currents make magnetic fields
dl`
s
I
P
r
0
a
l`
infinitely long wire
Force on a wire in a B field
Lorentz force
force per length
Find me B at a point Z on the axis above a ring current I.
r
I
z
P
r
z
0
0
0
P
R
R
Final take on Biot-Savart Law
don't do point charge
Straight-Line Currents
I
B
B
Generalize
Stoke's Theorem
infinite line current
"B is in x, y, z coordinates. the J is in x', y', and z'. Are these in reference to a point charge? "
"I'm really struggling to understand the difference between the two sides of equation 5.32. One of them has I as a vector, with dl' as a scalar while the other side has I as a scalar with dl' as a vector crossed with script-r hat. What do they each mean and how are they each applied?"
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