Answer to Question #321885 in Electricity and Magnetism for Amaka

Question

A wire with resistance of 8.0ohms is drawn out through a die such that it’s new length is twice it’s original length. Find the resistance of the longer wire assuming that the resistivity and the density of the material of the wire are unchanged during the drawing process

Answer 1

$R=\rho \frac lS,$

$l_2=2l_1,$

$S_2=0.5S_1,$

$R_2=4R_1=32~\Omega.$