1.

Derive the expression for the electricpotential at any point along the axial line of an electric dipole.

Answer»

Solution :Deivation of expression of electric FIELD on the equatoral line of the DIPOLE.

Both are equal and their DIRECTION are as shwon in the figure. Hence net electric field
`E_(+q)=q/(4piepsilon_(0)(r^(2)+a^(2)))`
`E_(-q)=q/(4piepsilon_(0)(r^(2)+a^(2)))`
Let the point P be the at a distance r form the mid point of the dipole.
`VEC(E)=[-(E_(+q)+E_(-q)cosq]hatp`
`=-(2qa)/(4piepsilon_(0)(r^(2)+a^(2))^(3//2))hatp`


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