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Derive the expression for the electric ...

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

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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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Knowledge Check

  • The electric potential at a point on the equatorial line of a electric dipole is

    A
    directly proportional to the square of the distance
    B
    indirectly proportional to the square of the distance
    C
    directly proportional to the charge
    D
    none of the above

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