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E
q
d
x
=
+
F
H
G
G
I
K
J
J
2
1
0
2
2
32
π
ε
α
c
h
.
(b) The graph of
E
=
E
x
versus
is shown below. For the purposes of graphing, we set
d
= 1 m and
q
= 5.56
×
10
–11
C.
(c) From the graph, we estimate
E
max
occurs at about
= 0.71. More accurate
computation shows that the maximum occurs at
=
12
.
(d) The graph suggests that
“
halfheight
”
points occur at
≈
0.2 and
≈
2.0. Further
numerical exploration leads to the values:
= 0.2047 and
= 1.9864.
84. Let
q
1
denote the charge at
y
=
d
and
q
2
denote the charge at
y
= –
d
. The individual
magnitudes
G
E
1
and
G
E
2
are figured from Eq. 223, where the absolute value signs for
q
are unnecessary since these charges are both positive. The distance from
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 Spring '08
 Any
 Physics, Charge

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