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Introductory Physics Homework Help
Electrostatic Potential Energy stored outside a shell.
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[QUOTE="cheapstrike, post: 5705934, member: 612640"] [h2]Homework Statement [/h2] A point charge +Q is placed at the centre of an isolated conducting shell of radius R. Find the electrostatic potential energy stored outside the spherical shell if the shell also contains a charge +Q distributed uniformly over it. [h2]Homework Equations[/h2] [/B] E=kQ/r[SUP]2[/SUP]. dU/dV=(1/2)ε[SUB]o[/SUB]E[SUP]2[/SUP], where V is volume, U is potential energy. [h2]The Attempt at a Solution[/h2] The charge +Q inside the conductor will induce -Q charge on the inside surface, which further leads to +2Q charge on the outer surface of the shell. Therefore E=2kQ/r[SUP]2[/SUP]. My question is, why have we used the formula dU/dV=(1/2)ε[SUB]o[/SUB]E[SUP]2[/SUP]. How did we derive it? Isn't it equal to the energy of a charged capacitor. Sorry if this a bad question, I just want to know how did we derive this formula. Thanks. [/QUOTE]
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Electrostatic Potential Energy stored outside a shell.
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