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The equation I^2R seems to suggest that the rate of heating in a resistor is reduced

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The equation I2R seems to suggest that the rate of heating in a resistor is reduced if resistance decreases, whereas equation P = V2/R suggests just the opposite. How do you reconcile this problem?

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There is no contradiction in the relation. It V is constant, on decreasing resistance, the current increases and so as P = I2R the same result we gets from equation P = V2/R.

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