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53. (a) The electric potential is the sum of the contributions of the individual spheres. Let
q
1
be the charge
on one,
q
2
be the charge on the other, and
d
be their separation. The point halfway between them
is the same distance
d/
2(=1
.
0 m) from the center of each sphere, so the potential at the halfway
point is
V
=
q
1
+
q
2
4
πε
0
d/
2
=
(8
.
99
×
10
9
N
·
m
2
/
C
2
)(1
.
0
×
10
−
8
C
−
3
.
0
×
10
−
8
C)
1
.
0m
=
−
1
.
80
×
10
2
V
.
(b) The distance from the center of one sphere to the surface of the other is
d
−
R
,where
R
is the radius
of either sphere. The potential of either one of the spheres is due to the charge on that sphere and
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.
 Fall '08
 SPRUNGER
 Physics, Charge, Electric Potential

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