Show that the electric field E ofapointcharge [ equation ( 8 . 11 ) ] is conservative. Write ϕ in ( 8.13) in rectangular coordinates, and find E = − ∇ ϕ using both rectangular coordinates ( 6.3) and cylindrical coordinates. Verify that your results are equivalent to ( 8.11).
Show that the electric field E ofapointcharge [ equation ( 8 . 11 ) ] is conservative. Write ϕ in ( 8.13) in rectangular coordinates, and find E = − ∇ ϕ using both rectangular coordinates ( 6.3) and cylindrical coordinates. Verify that your results are equivalent to ( 8.11).
Show that the electric field
E
ofapointcharge
[
equation
(
8
.
11
)
]
is conservative. Write
ϕ
in ( 8.13) in rectangular coordinates, and find
E
=
−
∇
ϕ
using both rectangular coordinates ( 6.3) and cylindrical coordinates. Verify that your results are equivalent to ( 8.11).
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