What change occurs in the amount of heat produced when the electric current in a conductor is doubled?
Four times
By Joule's law of heating, the heat produced in a conductor is given by \(H = I^2Rt\), which shows heat is directly proportional to the square of the current.
If the current is doubled, that is \(I \rightarrow 2I\), the heat produced becomes \((2I)^2Rt = 4I^2Rt\), which is four times the original heat.
Hence, doubling the current makes the heat produced four times as much.
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