$4-$

$($a$)$ Calculate the resistance per unit length of a $22-$gauge Nichrome wire, which has a radius of $0\mathrm{.}321$ mm$.$

$($b$)$ If a potential difference of $10$ V is maintained across a $1\mathrm{.}0$ m length of the Nichrome wire, what is the current in the wire?

$($c$)$ What is the resistance of a $6\mathrm{.}0$ m length of $22-$gauge Nichrome wire? How much current does the wire carry when connected to a $120$ V source of potential difference?

Given, the resistivity of Nichrome is $1\mathrm{.}5{10}^{-6}m.$