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re: arc furnace heating effect: max power theorem
28 jul 2001
rod speed wrote:
>...the original claim that you get the maximum power dissipated
>in the kettle element when the mains source impedance matches
>the kettle element impedance is just plain wrong.
no. that is plainly correct.
>in that situation you will get less power in the kettle element
>than with the mains source impedances seen in real life.
you appear to be saying that the kettle dissipates less power when
its impedance equals the mains impedance than when its impedance
is more than the mains impedance. let's try this again with numbers:
if the 240 v mains impedance were 0.01 ohms and the kettle impedance
were 0.01 ohms, 240/0.02 = 12k amps would flow, and the kettle would
dissipate 0.01x12k^2 = 1440 kw. raise the kettle impedance to 1 ohm, and
240/1.01 = 238 amps flows, and the kettle only dissipates 56 kw...
looks like you are still wrong :-)
nick
nicholson l. pine system design and consulting
pine associates, ltd. (610) 489-1475/0545
821 collegeville road fax: (610) 489-7057
collegeville, pa 19426 email: nick@ece.vill.edu
computer simulation and modeling. high performance, low cost, solar heating
and cogeneration system design. bsee, msee. senior member, ieee. registered
us patent agent. web site: http://www.ece.vill.edu/~nick
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