this is a question of physics class 12th ( 1) derive an expression for the electric field E due to dipole of length 2L at a point distant r from the centre of the dipole on the axial line
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Answer:
Electric field at point P at a distance r from centre of dipole due to +q
E
B
=
4πϵ
0
1
BP
2
q
along BP =
4πϵ
0
1
(r−a)
2
q
Electric field at point P due to -q is
E
A
=
4πϵ
0
1
AP
2
q
along PA =
4πϵ
0
1
(r+a)
2
q
Net field at P is given by
E
P
=E
B
−E
A
=
4πϵ
0
1
(
(r−a)
2
q
−
(r+a)
2
q
)=
4πϵ
0
q
(r
2
−a
2
)
2
4ar
=
4πϵ
0
1
(r
2
−a
2
)
2
2pr
along BP .
Where p is the dipole=2qa
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