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Standard XII
Physics
Potential at a Point Due to a Dipole
Question
The electric potential due to an extremely short dipole at a distance r from it is proportional to :
1
r
1
r
3
1
r
4
1
r
2
A
1
r
B
1
r
2
C
1
r
4
D
1
r
3
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Solution
Verified by Toppr
Potential at point
P
=
K
V
r
1
−
K
V
r
2
V
=
K
V
(
r
2
−
r
1
r
1
r
2
)
we are taking extremely short dipole
r
1
≃
–
–
r
2
=
r
r
2
−
r
1
≃
–
–
d
c
o
s
θ
V
=
K
V
d
c
o
s
t
h
e
t
a
r
2
V
=
K
P
c
o
s
t
h
e
t
a
r
2
P
=
V
d
, where P is the dipole moment.
∴
V
∝
1
r
2
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