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Electric Field by Integration

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by

Richard Datwyler

on 18 February 2016

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Transcript of Electric Field by Integration

Electric Field by Integration
Building on the knowledge of the electric field from a point charge, we can view any object as a sum of point charges, add them all up and the total charge will be found.
This is a robust, yet multi-step process.
Here is a good pattern to follow:
Integrate and solve
Draw a picture with coordinate system and point of interest
Divide your total charge into small pieces of charge that you know the Electic field of.
Note the distance and direction of the E field from a few of the small pieces, look for symetry.
Make sure all term are constant or integration varibables
The key pieces are:
Charge distibutions
picture!!!
d
L
Q
r
x
i
i
0
0
picture
integration
Q, r, comp
E known
Find the Electric field a distance d away from a rod of charge Q and length L as shown.
What is the electric field at the center of a 25 nC semicircle with inner radius 5 cm and outer radius 7 cm?
0
0
x cos -
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