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Physics
Physics
Problem
The electric potential in a region of the xy-plane is given by
V
(
x
,
y
)
=
12
V
−
(
2.0
V/m
)
x
+
(
3.0
V/m
)
y
V(x,y) = 12\,\text{V} - (2.0\,\text{V/m})x + (3.0\,\text{V/m})y
V
(
x
,
y
)
=
12
V
−
(
2.0
V/m
)
x
+
(
3.0
V/m
)
y
. What is the electric field vector at the point
(
2.0
m
,
−
1.0
m
)
(2.0\,\text{m}, -1.0\,\text{m})
(
2.0
m
,
−
1.0
m
)
? a)
(
−
2
V/m
)
i
^
+
(
3
V/m
)
j
^
(-2\,\text{V/m})\,\hat i + (3\,\text{V/m})\,\hat j
(
−
2
V/m
)
i
^
+
(
3
V/m
)
j
^
b)
(
2
V/m
)
i
^
+
(
3
V/m
)
j
^
(2\,\text{V/m})\,\hat i + (3\,\text{V/m})\,\hat j
(
2
V/m
)
i
^
+
(
3
V/m
)
j
^
c)
(
2
V/m
)
i
^
−
(
3
V/m
)
j
^
(2\,\text{V/m})\,\hat i - (3\,\text{V/m})\,\hat j
(
2
V/m
)
i
^
−
(
3
V/m
)
j
^
d)
(
−
3
V/m
)
i
^
+
(
2
V/m
)
j
^
(-3\,\text{V/m})\,\hat i + (2\,\text{V/m})\,\hat j
(
−
3
V/m
)
i
^
+
(
2
V/m
)
j
^
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