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Article #3232Re: A violation of the law of conservation of energy
From: Aephraim M. Steinberg
Date: Thu, 28 Sep 1989 01:34
Date: Thu, 28 Sep 1989 01:34
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A clear way of seeing that this calculation is faulty without even bothering to complain about the impossibility of zero-resistance and zero-inductance (it seems to me that the same error could be made as easily with a finite R) is to ask why you multiply 1C by 1V. When you start moving that coulomb, there is not yet 1 volt of potential on the other side. It ends up looking like a triangle with base 1C and height 1V, whose area is of course 1/2. By setting R=0, you are simply taking lim t-->0 of an integral, but that doesn't give you the right to drop the integral and just multiply your final values.
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Path: arc1-ca.pugleaf.net!utzoo!attcan!uunet!ginosko!gem.mps.ohio-state.edu!apple!agate!garnet.berkeley.edu!aephraim From: aephraim@garnet.berkeley.edu (Aephraim M. Steinberg) Newsgroups: sci.electronics,sci.physics Subject: Re: A violation of the law of conservation of energy Keywords: paradox Message-ID: <1989Sep28.013457.28172@agate.berkeley.edu> Date: 28 Sep 89 01:34:57 GMT References: <318@massey.ac.nz> Sender: usenet@agate.berkeley.edu (USENET Administrator;;;;ZU44) Reply-To: aephraim@garnet.berkeley.edu (Aephraim M. Steinberg) Organization: University of California, Berkeley Lines: 9