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Physics
Physics
Problem
The electric potential (in volts) created by a point charge located at
x
=
0
x=0
x
=
0
along the
x
x
x
-axis is
V
(
x
)
=
12
x
,
x
>
0.
V(x)=\frac{12}{x}, \qquad x>0.
V
(
x
)
=
x
12
,
x
>
0.
The electric field is defined by
E
(
x
)
=
−
V
′
(
x
)
E(x)=-V'(x)
E
(
x
)
=
−
V
′
(
x
)
. Determine
lim
x
→
0
+
E
(
x
)
\displaystyle \lim_{x\to 0^+} E(x)
x
→
0
+
lim
E
(
x
)
and explain the physical significance of this limit.
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