Article View: sci.electronics
Article #21666Re: HV Cap Fun!
From: David J Bell
Date: Tue, 06 Jun 1989 19:45
Date: Tue, 06 Jun 1989 19:45
30 lines
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1591 bytes
In article <20772@quacky.mips.COM> vaso@mips.COM (Vaso Bovan) writes:
}A Paradox of Capacitor Energy Storage
}
}I've heard several competing answers to this paradox. None is entirely
}satisfactory:
}
}Consider an ideal 2uF (for computational ease) capacitor charged by a 10 volt
}source. Eventually, the energy stored is (1/2)*CV^2=100 joules.
}
}Consider the capacitor to be isolated from the voltage source, and then
}directly shorted across an identical (ideal) capacitor. Eventually, the
}voltage across each capacitor will be 5V. Now, there are two equally
}charged capacitors, each storing (1/2)*CV^2= 25 joules, for a total of
}of 50 joules. What happened to the other 50 joules ?
[etc., etc.... much discussion omitted...]
Hmmm... U = 1/2 C V^2 (V = volts)
Ke = 1/2 M V^2 (V = velocity)
Lessee: Two billiard balls, equal mass, one traveling...
etc...
In other words, discharging one cap into the other through a *real* world
circuit is equivalent to elastic collision and dissipated energy.
Whataya know; duality everywhere!
Dave dbell@cup.portal.com
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Path: arc1-ca.pugleaf.net!utzoo!attcan!utgpu!jarvis.csri.toronto.edu!mailrus!csd4.milw.wisc.edu!lll-winken!uunet!portal!cup.portal.com!dbell From: dbell@cup.portal.com (David J Bell) Newsgroups: sci.electronics,sci.physics Subject: Re: HV Cap Fun! Message-ID: <19182@cup.portal.com> Date: 6 Jun 89 19:45:21 GMT References: <4924@m2c.M2C.ORG> <3806@mit-amt> <20772@quacky.mips.COM> <8739@fluke.COM> <8742@fluke.COM> Organization: The Portal System (TM) Lines: 30