Showing posts with label Electric Charges. Show all posts
Showing posts with label Electric Charges. Show all posts

17 November 2013

Proving: Method Of Electrical Images

So first of all what is 'Method of electrical images'.


Suppose you place a charge $Q$ in front of a infinitely large plane conducting sheet which is earthed.The sheet gets an induced charge $-Q$.This would attract the original charge.

The force of attraction is given by $F=\frac{-1}{4\pi \varepsilon}\frac{Q^2}{(2x)^2}$

The force is as if the conducting sheet acts as a mirror and forms a mirror image of the original charge $Q$.


Well the interpretation is beautiful and so is the equation.So how do we prove this.
Initially I raised this question to my physics teacher at P.C Thomas Classes.Failing to get a satisfactory answer I sat upon this problem that night.And finally........