How to proof that the electric fielf inside a conducting shell is zero

Thread starter spectrum123
Start date Jul 4, 2012
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Conducting Electric Proof Shell Zero

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To prove that the electric field inside a conducting shell is zero without using Gauss's law, one can utilize vector analysis to demonstrate that the resultant electric field at any point within the shell is zero. This involves considering the contributions of electric fields from various charge distributions on the shell's surface and showing that they cancel each other out. The discussion draws an analogy to Newton's Shell theorem, which similarly indicates that the gravitational field inside a spherical shell is zero. By applying principles of superposition and symmetry, it can be concluded that the electric field remains null throughout the interior of the conducting shell. Understanding these concepts is crucial for grasping electrostatics in conductive materials.

Jul 4, 2012

spectrum123

how to proof that the electric fielf inside a conducting shell is zero ?
i don't want to solve it using gauss law and not through practically taking example but i wanted to solve it through vector by finding the resultant zero at any point? please explain?

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Jul 4, 2012

amiras

Its very likely to be analogous to Newtons Shell theorem http://en.wikipedia.org/wiki/Shell_theorem

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