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# 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. - CBSE Class 10 - Science

ConceptResistance of a System of Resistors - Resistors in Series

#### Question

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.

#### 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

Is there an error in this question or solution?

#### APPEARS IN

Solution 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. Concept: Resistance of a System of Resistors - Resistors in Series.
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