P = I x E is NOT Ohm's law. It is a formula for calculating power. Ohm's law defines resistance, not power.
When you increase the voltage applied to a dc motor, the current does not remain constant. It increases. Motor torque is directly proportional to current.
Now, when you increase the voltage to a dc motor with NO LOAD, it will turn faster. But that is not because it has "more power". It can go faster because there is more voltage to overcome back EMF, back EMF being proportional to speed. But the power does not increase significantly because it is producing no torque, hence it has almost no current and is consuming almost no power.
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Today's Featured Article - Madison's County - by Anthony West. Philip Madison has been a good friend of mine for quite some time. He has patiently suffered my incessant chit chat on the subject of tractors for longer than I care to remember, and on many occasions he has put himself out, dropped what ever it was he was doing, to come and lend a hand cranking handles, or loading a find onto a trailer. Although he himself has never actually owned or restored a tractor, he was always enthusiastic and always around helping with other peoples projects.
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