Question
The potential difference applied across a given resistance is altered so that heat produced per second increases by a factor of 16. By what factor does the applied pd change?

Answer

Power $\text{P}=\frac{\text{V}^2}{\text{R}}\Rightarrow\text{V}\propto\sqrt{\text{P}}$ for given resistance.
Hence, for making power 16-times, voltage should be made 4-times.

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