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# Electric Field

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by

## Richard Datwyler

on 26 February 2016

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#### Transcript of Electric Field

20
15
10
5
-150
150
E
x
(cm)
Electric Field
and
Electric Potential

Recall that the from a point charge the Electric field and potential are:
And if the Electric field is constant then:
Without much proof it can be shown they are related via calculus as the sum and change of the other:
E is the negative slope of a Potential vs distance graph
V is the negative area under an Field vs distance graph
Graphically:
Find the Electric field from the following
Find E at x = 10 m
20
15
10
5
-50
50
Find E at x = 2 m
-10 V/m
Find the Electric potential from the following:
If the potential at x = 0 is 30 V, what is the potenial at x = 20 cm?
V
x
-1.875
-7.5
-7.5
1.875
V = 15 V
If the Potential at x = 0 is 1.5 V, what is the potential at x = 20 cm?
V = 1.14 V
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