Calculate the resistance of 2 km long copper wire of radius 2 mm. (Resistivity of copper =
1.72x10-8)
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Answer:
Given,
radius of wire (r) = 2 mm = 2 × 10-³ m
Length of wire (L) = 2Km = 2 × 10³ m
resistivity of copper wire(P) = 1.72 × 10^-8 Ohm. m
use formula ,
R = pL/A
where , R is resistance
p is resistivity of wire and A is cross section area of wire .
A = πr² = 3.14 × (2 × 10-³)²
= 3.14 × 4 × 10^-6 m²
= 12.56 × 10^-6 m²
R = 1.72 × 10^-8 × 2 × 10³/12.56 × 10^-6
= { 1.72× 2 /12.56} × 10^(-8+3 +6)
= 1.72 × 2 × 10/12.56
= 34.4/12.56
=2.7388 Ohm
hence, resistance of copper wire = 2.74 Ohm
PLS MRK AS BRAINLIEST
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