if the resistance of a wire length 1.20 m and dimeter 0.4 mm is found to be 2.5 ohm, what is the specific resistance of the material of the wire?
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Correct Answer :- 26.17*1/10⁸ Ωm
Step by step explanation :-
Here , R = ρ L/A. ( ρ = specific resistance )
R = 2.5Ω
L = 1•2 m
Now ,
A = πr² = π ( D / 2 )²
D = 0.4 mm = 0.4 / 1000 m = 4*1/10⁴
A = π ( 2*1/10⁴)² = 4π * 1/10⁸ m²
Also,
2.5 = ρ * 1.2 / 4π * 1/10⁸
ρ = 10π * 1/10⁸ /1.2
( we know that , π = 3.14 )
Therefore , ρ = 10 * 3.14 * 1/10⁸ /1.2
Hence , ρ = 26.17 *1/10⁸Ωm
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