114. (a) The charge on every part of the ring is the same distance from any point
P
on the
axis. This distance is
rz
R
=+
22
, where
R
is the radius of the ring and
z
is the distance
from the center of the ring to
P
. The electric potential at
P
is
V
dq
r
dq
zR
dq
q
==
+
=
+
=
+
z
z
z
1
4
1
4
1
4
11
4
00
0
0
ππ
π
π
εε
ε
.
(b) The electric field is along the axis and its component is given by
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 Spring '10
 Rebello,NobelS
 Vector Space, Charge, Electric Potential, Magnetic Field, Electric charge

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