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 Oct 26 comment Speed of electricity in cable Remember that in classical electrodynamics, the energy transmitted from the source to the load in a current-carrying wire is not in general transmitted by the electrons themselves; it is carried by the electromagnetic field generated by accelerating charges (see en.wikipedia.org/wiki/Poynting_vector). In any circuit with loss, you must actually expend energy to overcome the loss and get the electrons moving such that the field is generated. Aug 5 awarded Nice Question Jul 5 awarded Yearling Mar 7 answered Curl of Electrostatic Field Aug 28 revised Kirchhoff current loop in Resistor Diode Ladder network added 1 character in body Aug 27 comment How far has a black hole to be in order for its tidal forces to disintegrate earth? Aug 27 revised Kirchhoff current loop in Resistor Diode Ladder network added 233 characters in body Aug 27 answered Kirchhoff current loop in Resistor Diode Ladder network Jul 12 asked Lee Yang force and cosmology May 7 awarded Popular Question Mar 18 awarded Critic Dec 28 awarded Revival Dec 4 awarded Editor Dec 4 revised Steady state of diffusion current in semiconductors added 6 characters in body Dec 3 answered Steady state of diffusion current in semiconductors Dec 2 comment Power dissipated on internal resistance of short-circuited voltage source When you calculate the power dissipated due to heating of the internal resistance when shorting the battery, you have to use the EMF $$\mathcal{E}$$ of the voltage source in your third equation, not the nominal battery voltage external to the internal resistance, $$V$$, as you have done. It then agrees with your final equation, and there is no contradiction. Oct 13 comment Boundary conditions for 2D helical waveguide @WetSavannaAnimalakaRodVance Wow, that's interesting. Do you have any references from that time period detailing these plans? It would make a really interesting read. Thanks again for the references on the helical waveguides - the math seems fairly involved so I will have to do some review of EM topics before I can fully understand them. Oct 11 comment Boundary conditions for 2D helical waveguide @WetSavannaAnimalakaRodVance Nice references, thanks! Oct 10 asked Boundary conditions for 2D helical waveguide May 16 accepted Capacitance of a conducting disk