Current Electricity — Question 2

According to Ohm's law,

$\text{V} = \text{I}\text{R} \\[0.5em] \Rightarrow \text{I} = \dfrac{\text V}{\text R} \\[1em]$

Let the doubled resistance be 2R. Potential difference remains the same

$\text{I}<em>{\text{new}} = \dfrac{\text V}{2\text R} \\[0.5em] \Rightarrow \text{I}</em>{\text{new}} = \dfrac{\text I}{2}$

∴ If the resistance of conductor is doubled keeping the potential difference across it the same then current flowing in a conductor will be halved.