Q. 133.8( 12 Votes )

(a) Draw the equi

Answer :

(a)


Note that the electric field is always perpendicular to the equipotential surface. Hence, the equipotential surfaces are going to be infinite plane sheets parallel to the x-y plane.


Also, the electric field strength is proportional to the distance between the surfaces. Hence, the surfaces will be evenly spaced.



(b)



Let charge +q and -q be separated by distance 2a. Let origin be at the centre of the two charges. Consider any arbitrary point P (x,0).


Let ra be the distance of point P from the positive charge and rb be the distance of the point P from the negative charge.


The electric potential at point P is given by:





We have two cases:


Case I: and



Now,


and






Case II: and



Now,


and






Case III: and



Now,


and






Case IV:



and






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