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If you want a black box, OK. I thought you wanted a Mixmaster stirring
batter. A black box with current I and p.d. V, heating itself and its
surroundings at a rate P = IV, has resistance R = V/I.
If the black box has a torque-exerting shaft sticking out of it, which can
do work when there is a current I, then R is not given by V/I unless the
shaft is blocked so that work = 0.