In-electricity-the-electrostatic-field-is-defined-as-E-0-pi-a-2-sin-2-a-2-x-2-2ax-cos-d-where-a-and-are-constants-Consider-that-x-gt-a-and-show-that-E-a-2-x-

Question Number 171213 by MikeH last updated on 10/Jun/22

In electricity, the electrostatic field

is defined as :

E = \int_{0}^{π} [\frac{a^{2} σ \sin θ}{2 ϵ \sqrt{a^{2} - x^{2} - 2 a x \cos θ}}] d θ

where a, σ and ϵ are constants . Consider

that x > a and show that E = \frac{a^{2} σ}{ϵ x}