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12. Eq. 236 (Gauss’ law) gives
ε
ο
Φ =
q
enclosed
.
(a) Thus, the value
Φ = 2
.0
×
10
5
(in SI units)
for small
r
leads to
q
central
= +1.77
×
10
−
6
C
or roughly 1.8
µ
C.
(b)
The
next
value
that
Φ
takes
is
–
4.0
×
10
5
(in
SI
units),
which
implies
6
enc
3.54 10 C.
q
−
=−
×
But we have already accounted for some of that charge in part (a), so
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 Spring '09
 Bolton
 Gauss' Law

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