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Resistance Thermometers

The thermal e...

Question

The thermal energy developed in a current-carrying resistor is given by U = i² Rt and also by U = Vit. Should we say that U is proportional to i² or i?

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Solution

In the expression U = Vit, voltage V and current i are variables for a given time interval. So, based on this expression we cannot say that U is proportional to i. In the expression U = i²Rt, the resistance R is fixed for a circuit for a given time interval. So, based on this expression, we can say that U is proportional to i² and not i.

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