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Question : 18
Total: 26
(i) Derive the expression for electric field at a point on the equatorial line of an electric dipole.
(ii) Depict the orientation of the dipole in (i) stable, (ii) unstable equilibrium in a uniform electric field.
(ii) Depict the orientation of the dipole in (i) stable, (ii) unstable equilibrium in a uniform electric field.
Solution:
(i) Derivation of expression of electric field on the equatorial line of the dipole
(ii) Depiction of orientation for stable and unstable equilibrium
(i) Let the point 'P ' be at a distance ' r ' from the mid point of the dipole.
E + q =
E − q =
Both are equal and their directions are as shown in the figure. Hence net electric field
E + q = [ − ( E + q + E − q ) cos θ ]
E p = −
(ii) Stable equilibrium,θ = 0 ∘
(ii) Depiction of orientation for stable and unstable equilibrium
(i) Let the point '
Both are equal and their directions are as shown in the figure. Hence net electric field
(ii) Stable equilibrium,
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