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EAMCET Engineering 2007 Solved Paper
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© examsnet.com
Question : 29
Total: 160
Along the
x
-axis, three charges
q
2
,
−
q
and
q
2
are placed at
x
=
0
,
x
=
a
and
x
=
2
a
respectively. The resultant electric potential at a point
P
located at a distance
r
from the charge
−
q
(
a
<
r
)
is
(
ε
0.
is the permittivity of free space)
q
a
4
π
ε
0
r
2
q
a
2
4
π
ε
0
r
3
q
(
a
2
4
)
4
π
ε
0
r
3
q
4
π
ε
0
r
Validate
Solution:
As
r
≫
a
, so
r
>
2
a
So, potential at point
P
V
=
1
4
π
ε
0
[
q
∕
2
r
+
a
−
q
r
+
q
∕
2
r
−
a
]
=
1
4
π
ε
0
⋅
q
2
[
1
r
+
a
−
2
r
+
1
r
−
a
]
=
q
8
π
ε
0
[
r
(
r
−
a
)
−
2
(
r
2
−
a
2
)
+
r
(
r
+
a
)
r
(
r
2
−
a
2
)
]
=
q
8
π
ε
0
⋅
2
a
2
r
(
r
2
−
a
2
)
=
q
a
2
4
π
ε
0
r
3
(
as
r
>
>
a
)
© examsnet.com
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