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Question

For a given current and resistance, what is the change in heat produced in a conductor if the time for which the current flows through a conductor is

a. tripled


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Solution

According to Joule's law of heating, the amount of heat produced H in a conductor is given by

H=I2Rt

Where I is the current flowing through the conductor, R is the resistance, and t is the time for which current flows.

For the given current and resistance, the amount of heat produced is directly proportional to the time for which current flows. It means that if time increases, the heat produced also increases linearly and if time decreases, the heat produced also decreases linearly.

Thus, when the time for which the current flows through a conductor is tripled, the amount of heat produced gets tripled.


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