31. We use Eq. 2541:
E
x
(
x, y
)=
−
∂V
∂x
=
−
∂
³
(2
.
0V
/
m
2
)
x
2
−
(3
.
/
m
2
)
y
2
´
=
−
2(2
.
/
m
2
)
x
;
E
y
(
x, y
−
∂y
=
−
∂
³
(2
.
/
m
2
)
x
2
−
(3
.
/
m
2
)
y
2
´
=2(3
.
/
m
2
)
y.
We evaluate at
x
=3
.
0m and
y
=2
.
0 m to obtain the magnitude of
~
E
:
E
=
q
E
2
x
+
E
2
y
=17V
/
m
.
~
E
makes an angle
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 Fall '08
 SPRUNGER
 Physics

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