If the current flowing through a resistor is tripled, how many times will the diameter of that resistor increase from the current when the voltage across that resistor remains unchanged?
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If you triple the current and the voltage stays the same, the resistance is
i.e. the resistance is reduced by 1/3
For the resistance to be reduced by 1/3, the cross-sectional area must be increased
Therefore, in the cross-sectional area
Since R is reduced by 1/3
This will increase the cross-sectional area by three times.