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PHY2061
R. D. Field
Department of Physics
curl_4.doc
Univesity of Florida
Curl of the Electrostatic Field
The electrostatic field
r
r
KQ
E
3
=
is a radial (
or central
)
function of r.
It points radially outward (or inward)
along the radius vector
z
z
y
y
x
x
r
ˆ
ˆ
ˆ
+
+
=
and has a
magnitude E that depends only on the distance
2
2
2
z
y
x
r
+
+
=
from the origin.
Thus
0
=
×
∇
E
This means that the electrostatic field can be written as the gradient of a
scalar function V as follows:
V
E
∇
−
=
The electric potential V(x,y,z) is a scalar function of position and is
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Unformatted text preview: equal to the potential energy per unit charge. âˆ« â‹… âˆ’ = âˆ’ = âˆ‡ P P r d E P V P V V ) ( ) ( . P is some reference point and V(P ) is the potential at the reference point. Electric Potential of a Point Charge: ) ( Ë† ) ( 2 P V r d r r KQ P V P P + â‹… âˆ’ = âˆ« Taking P = infinity and V(P ) = 0 gives r KQ r V = ) ( Electrostatic Field Electric Potential r E Q P P Curve C Point Charge...
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This note was uploaded on 10/17/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.
 Spring '08
 FRY
 Physics

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