In electricity, the electrostatic field is defined as: E = ∫_0 ^π [((a^2 σ sin θ)/(2ε(√(a^2 −x^2 −2ax cosθ))))]dθ where a,σ and ε are constants. Consider that x>a and show that E= ((a^2 σ)/(εx))


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

$In electricity, the electrostatic field$ $is defined as :$ $E = \int_{0}^{π} [\frac{a^{2} σ \sin θ}{2 ϵ \sqrt{a^{2} - x^{2} - 2 a x \cos θ}}] d θ$ $where a, σ and ϵ are constants . Consider$ $that x > a and show that E = \frac{a^{2} σ}{ϵ x}$
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