Question

Q-32 Resistance of a copper wire of length 122.7m is 10 Ohms at 20 degree celsius. If the diameter of the wire is
0.5mm what will be the resistivity of the wire at that temperature?
(3)​

Answer 1

The resistivity of the wire is ρ = 1.59 x 10^-8 Ω/m

Explanation:

Given data:

Length of wire = 122.7 m

Resistance = 10 ohm

Diameter of the wire = 0.5 mm = 5 x 10^-4 m

Radius "r" = d /2 = 5 x 10^-4/2 = 2.5 x 10^-4 m

Area = πr^2 = π x ( 2.5 x 10^-4) m^2 = 3.14 x 6.25 x 10^-8 m

                   = 19.625 x 10^-8 m^2

Temperature "T" = 20 degree

R = ρL/A

ρ = RA /L

ρ = 10 x 19.625 x 10^-8 / 122.7

ρ =  196.25 x 10^-8 / 122.7

ρ = 1.59 x 10^-8 Ω/m

Thus the resistivity of the wire is ρ = 1.59 x 10^-8 Ω/m

Also learn more

A wire whose resistance is 80 ohm is cut into three pieces of equal length which are then arranged in parallel. calculate the resistance of combination ?

https://brainly.in/question/5157992