Question

A metal wire of resistance 2.30 10-8 is cut into two equal pieces that are then connected side by side to form a new wire the length of which is equal to one-half the original length. what is the resistance of this new wire?

Answer 1

Equal parallel resistors are governed by the formula

R = r^2/(2r) = r/2

r = 2.30 * 10^-8 ohms which is very tiny.

R = 2.30 *10^-8 / 2

R = 1.15 * 10^-8 ohms. <<<< Answer