You went camping overnight but forgot to take with you a heater and need to make one using a dc battery of V0 and spare electrical wires of different lengths and resistivity. The battery has lead with the resistance of Rw.   Please obtain the formula for the joule heat power and plot it as a function of RH ( in MATLAB) and in comparison to the resistance of the connecting leads, Rw. (Note: express RH = x Rw, where x is the effective ratio; vary x and plot Pmax vs. x). and Find the heating power if the heater is made out of superconducting metal. Will this heater work and why?! What is to happen on the molecular ( i.e. electron) level ?!

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