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The resistance of wire is 0.01cm …

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The resistance of wire is 0.01cm radius is 10ohm if resistivity is 3.14 ×10^-8ohm metre find length of wire

Posted by Satnam Singh 6 years, 7 months ago

CBSE > Class 10 > Science

1 answers

Gaurav Seth 6 years, 7 months ago

Resistance of wire , R = 10 ohm
radius of base of wire , r = 0.01cm = 0.01/100 m
r = 1 × 10^-4 m
base area , A = πr² = 3.14 × (10^-4)² = 3.14 × 10^-8 m²
resistivity of the material of wire , ρ = 50 × 10^-8 ohm.meter

we know, formula
R = ρL/A
L = RA/ρ
= 10 ohm × 3.14× 10^-8m²/50 × 10^-8 ohm.meter
= 31.4/50 m
= 0.628 m

hence, length of wire is 0.628 m

1Thank You

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