Advertisement Remove all ads

Calculate the Resistance of an Aluminium Cable of Length 10 Km and Diameter 2.0 Mm If the Resistivity of Aluminium is 27 × 10−8 ωM. - Science

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Calculate the resistance of an aluminium cable of length 10 km and diameter 2.0 mm if the resistivity of aluminium is 27 × 10−8 Ωm. 

Advertisement Remove all ads

Solution

Length of the cable wire, l = 10 km = 10000 m
Diameter of the cable wire, d = 2.0 mm
Radius of the cable wire, r = 0.1 mm = 0.0001 m = 10-4 m
Area of cross-section, `A=Api^2` 3.14 × 10-8 m2
Resistivity of the aluminium cable wire = 27 × 10−8 Ω m.

Let the resistance of the aluminium cable be R.

We know that `R=l/A` 

R=P/A 

`R=27xx10-8xx103.14xx10-8`   

`R=(27xx10^-8xx10000)/(3.14xx10^-8)`

R = 86 Ω 

Concept: System of Resistors - Resistors in Series
  Is there an error in this question or solution?

APPEARS IN

Lakhmir Singh Class 10 Physics (Science)
Chapter 1 Electricity
Q 19.2
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×