what length of a copperof cross sectional are 0.01mm ^2 would be repired to obtain a resistance of 1K ohm?resistivity of copper 1.7x10^-8Ohm m
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Answer:
Explanation:
Length of a copper cross sectional = 0.01mm² (Given)
Resistivity = 1.7 x 10⁻⁸ (Given)
Resistance of a wire is given as = R = ρL/A
where,
ρ is the resistivity, L is the length and A is the area
Area = πr²
= π(0.05 x 10⁻³)²
= 25π x 10⁻¹⁰ m²
Given R = 1
= ρL/A = 1
= (1.7 x 10⁻⁸ x L)/25π x 10⁻¹⁰ = 1
= L = 1 x 25π x 10⁻²/1.7
= L = 1.4π = 4.4 meters
Hence the length of the wire should be 4.4 meters
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