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Problem
Problem
The electric potential existing in space is
V
(
x
,
y
,
z
)
=
A
(
x
y
+
y
z
+
z
x
)
V(x, y, z) = A(xy + yz + zx)
V
(
x
,
y
,
z
)
=
A
(
x
y
+
y
z
+
z
x
)
. a. Write the dimensional formula of
A
A
A
. b. Find the expression for the electric field. c. If
A
A
A
is
10
SI
10 \text{ SI}
10
SI
units, find the magnitude of the electric field at
(
1
m
,
1
m
,
1
m
)
(1 \text{ m}, 1 \text{ m}, 1 \text{ m})
(
1
m
,
1
m
,
1
m
)
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