$\"\"$

Ohms law states that voltage drop is $\"\"$ , where $\"\"$ is resistance and $\"\"$ is the current.

Here voltage is constant.

Consider $\"\"$ .

$\"\"$ .

Apply derivative on each side by considering voltage as constant.

$\"\"$ .

Relative error in current $\"\"$ is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

$\"\"$

Therefore, relative error in current is approximately same in magnitude as the relative error in resistance $\"\"$ .

$\"\"$

Relative error in current is approximately same in magnitude as the relative error in resistance $\"\"$ .