Gauss vs Ampere

Tuesday, 11 September 2018

9:11 PM

Machine generated alternative text:
Gauss' & Ampere's law — Compare & contrast 
_ q enc 
f É.di 
Ampere's law: f É.dS = goienc 
Gauss' law: 
Wire 
surface 
Am perian 
loop 
(9-0) 
They are very similar except that for Gauss' law you integrate over a closed 3D surface 
with charge inside, whereas in Ampere's law you integrate around a closed 2D path 
that's threaded by the current. 
For Gauss' law, the maths is easiest surface is locally perpendicular to the electric field. 
For Ampere's law, it's easiest when the loop is locally parallel to the magnetic field. 
UNSW 
Sctwol of Physics 
PHYS 1221/1231 
1st Year Physics — Electromagnetism

 

 

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