Question

Electric field on the axis of a small electric dipole at a distance r is E₁ and at a distance of 2r on its perpendicular bisector, the electric field is E₂. Then the ratio E₂: E₁ is ______.

विकल्प

• 1: 4

• 1: 16

• 1: 8

• 1: 2

Answer 1

Electric field on the axis of a small electric dipole at a distance r is E₁ and at a distance of 2r on its perpendicular bisector, the electric field is E₂. Then the ratio E₂: E₁ is 1: 16.

Explanation:

For small dipole, At 2r:

`"E"_"equator" = 1/ (4pi epsilon_0 (2_"r")^3) = 1/(4pi epsilon_0) "p"/(8"r"^3` = F₂

At r:

`"E"_"axis" = 1/ (4pi epsilon_0 (2_"r")^3) (2"p")/"r"^3` = E₁

`therefore "E"_2/"E"_1 = (1/(4piepsilon_0) xx p/(8"r"^3))/((1/(4pi epsilon_0) xx (2"P")/"r"^3)) =1/16`