Four short dipoles each of dipole moment ‘p’ are placed at the vertices of a square of side a. The direction of the dipole moments are shown in the figure.
Text Solution
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(b, d)
We know that electric field and potential due to dipole is
E r = 
& E θ = 
& V P = 
Now four dipoles are shown in figure.
Let 
& given, θ = 45º
and r = 
; E r = 
= 
= 2E; E θ = 
= 
= E
∴ Electric field due to 1 st dipole
Electric field due to 2 nd dipole
Electric field due to 3 rd dipole
Electric field to 4 th dipole
So, Net electric field at point O is:
So, resultant = 
= 
= 
& Potential at point O = 4 × 
; V = 
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