Write down two difference between endon and broad side position of an elecric dipole.
Answers
Answer:
Potential due to a dipole in Broad side on position: Consider an electric dipole AB consisting of charges −q and +q coulomb at a separation 2a meter and placed in a medium of dielectric constant K as shown in Fig. We are to find the electric potential due to dipole at a point P at distance r meter from its mid point O on the perpendicular bisector of dipole axis AB. It is clear from Fig. that the distance of point P from each charge is the same, i.e.,
AP=BP=
r
2
+a
2
meter
Now potential at point P due to charge +q is
V
1
=
4πε
0
K
1
(BP)
(+q)
=
4πε
0
K
1
r
2
+a
2
q
and potential at point P due to charge −q is
V
2
=
4πε
0
K
1
AP
(−q)
=
4πε
0
K
−1
r
2
+a
2
q
Hence resultant potential at the point P is
V=V
1
+V
2
=
4πε
0
K
1
r
2
+a
2
q
−
4πε
0
K
1
r
2
+a
2
q
or V=0