Question

A wire has resistivity of 0.12 homes per metre​.

a)Find the resistance of 25m of wire.
b)Find the length of this wire that has resistance 22ohms

Answer 1

(a) The resistance of 25m of wire is 3 ohms

(b) the length of this wire that has resistance 22 ohms is 183.33 m

Step-by-step explanation:

Given;

resistivity of the wire, ρ = 0.12 ohms per meter

(a) The resistance of 25m of wire is calculated as follows;

`R = \rho L\\\\R = 0.12 \ (ohms)/(m) * 25\ m\\\\R = 3 \ ohms`

(b) the length of this wire that has resistance 22 ohms is calculated as;

`L = (R)/(\rho) \\\\L = (22 \ ohms )/(0.12 \ ohms/m) = 183.33 \ m`