the resistance of a wire of 0.01 cm radius is 10ohms if the resistivity of the material of the wire is 50×10power_8ohm meter find the length of the wire
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R = ρL / A
Rearrange the above equation
L = RA / ρ
= R πr² / ρ ………[∵ Cross section of wire is circular]
= [10 Ω × π × (0.01 × 10^-2 m)²] / (50 × 10^-8 Ω m)
= 0.628 m
= 62.8 cm
Length of the wire is 62.8 cm
Rearrange the above equation
L = RA / ρ
= R πr² / ρ ………[∵ Cross section of wire is circular]
= [10 Ω × π × (0.01 × 10^-2 m)²] / (50 × 10^-8 Ω m)
= 0.628 m
= 62.8 cm
Length of the wire is 62.8 cm
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