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So my teacher was telling about how if we place an uncharged conducting sphere inside a uniform electric field , the charges so distribute that the E field inside them becomes zero. He told us that this will come out to be a complex distribution.

Is there any way we can calculate this distribution ??? Please give the proof /derivation ?? How many such distribution are possible ??

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Yes, it is possible, although you require some advanced math (Legendre polynomials, basic Fourier series). An excellent introduction to this is Chapter 3 of Griffiths Introduction to Electrodynamics

(In fact, the entire book is excellent. If you ever want to study undergrad-level Electrodynamics, this is the book to study from)

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  • $\begingroup$ Can you please give the proof / derivation too ?? Basically your regular JEE aspirant who has only read it till chapter 2 $\endgroup$
    – user232243
    Commented Jun 7, 2019 at 17:49

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