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62
CHAPTER 16
(c) The total potential at point
P
is
()
44
12
1.8
3.6
10 V
1.8
P
VVV
=+=
+− ×
=
− ×
(d) The work required to move a charge
q
3.0 C
µ
=
to point
P
from infinity is
( )( )
64
3.0
10
V
0
5.4
10
J
P
WqVqV V
−−
∞
=∆ =
−
=
×
− =−
×
2
C
1.8
10
−
×
16.57
The stages for the reduction of this circuit are shown below.
±²³³´
±
µ
¶²³³´
±
µ
¶²³³´
±
µ
·²³³´
±
µ
¸²³³´
±
µ
¹²³³´
±
µ
º²³³´
±
µ
¸»²³´¼
½²³³´
±
µ
¸»²³´¼
¶²³³´
±
µ
¹²³³´
±
µ
¾º²³´
±
µ
¹²º±´
±
µ
¸»²³´¼
¸»²³´¼
º²º±´
±
µ
¸²³³´
±
µ
Thus,
6.25 F
eq
C
=
16.58
(a) Due to spherical symmetry, the charge on each of the concentric spherical shells will
be uniformly distributed over that shell. Inside a spherical surface having a uniform
charge distribution, the electric field due to the charge on that surface is zero. Thus,

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