Which of the following statements is false?

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(C) According to Joule's law of heating,the heat produced $(H)$ in a conductor is given by the formula $H = I^2Rt$,where $I$ is the current,$R$ is the

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Heat produced in a conductor is proportional to charge.

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(C) According to Joule's law of heating,the heat produced $(H)$ in a conductor is given by the formula $H = I^2Rt$,where $I$ is the current,$R$ is the resistance,and $t$ is the time.From this formula,it is clear that $H \propto R$,$H \propto I^2$,and $H \propto t$.Since $I = \frac{q}{t}$,we can substitute this into the equation: $H = (\frac{q}{t})^2 Rt = \frac{q^2 R}{t}$.Therefore,$H$ is proportional to the square of the charge $(q^2)$ and inversely proportional to time $(t)$,not directly proportional to the charge $(q)$.Thus,the statement that heat produced is proportional to charge is false.

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