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Is power inversely proportional to resistance and why

Answer» As we know electric power is the rate of utilising electricity by the electrical appiance.⇒Power = (Work) /(Time)⇒Electrical work done = vit, Where\xa0v = Voltage,i = electric currentt = time of elctricity consumption.But\xa0Power = Electric work done / TimePower = vit/tPower = vi,But according to Ohm\'s law, v = iR, where R = Resistance.⇒i = v/R⇒Power =\xa0v\xa0× (v/R)⇒Power =\xa0(v2\xa0) /\xa0RIf the voltage i.,e., Potential difference applied between the eneds of the electrical appliance⇒Power = Constant/R⇒Power ∝ 1/ (Resistance)⇒ power is inversely proportianal to resistance it the potential difference is a constant.\xa0


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