define electric potential and find expression for it due to monopole
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If a<<r, V=r2p. Thus due to an electric dipole ,potential, V∝r21. (ii) When the point P lies on the equatorial line of the dipole, θ=90∘ cosθ=0. i.e electric potential due to an electric dipole is zero at every point on the equatorial line of the dipole.
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Therefore, the electric potential due to an electric dipole at a given point is equal to KPcosθr2−a2cos2θ. Special cases: (i) When the given point is on the axial line of the dipole (i.e. θ=0). Substitute θ=0 in equation (iv). Therefore, V=KPcos0r2−a2cos20.
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