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17. Resistance of a metal wire of length 1 m is 26Ω. If the diameter of the wire is 0.3 mm, what will be the resistivity of the metal?
Most Upvoted Answer
17. Resistance of a metal wire of length 1 m is 26Ω. If the diameter o...
Given Data:
- Length of the wire (L) = 1 m
- Resistance of the wire (R) = 26Ω
- Diameter of the wire = 0.3 mm

Calculating the radius of the wire:
- Radius (r) = Diameter / 2
- r = 0.3 mm / 2 = 0.15 mm = 0.15 x 10^-3 m = 0.00015 m

Calculating the cross-sectional area of the wire:
- Area (A) = πr^2
- A = π(0.00015)^2 = 7.07 x 10^-8 m^2

Calculating the resistivity of the metal:
- Resistivity (ρ) = RA / L
- ρ = R * A / L
- ρ = 26 * 7.07 x 10^-8 / 1
- ρ = 1.8342 x 10^-6 Ωm
Therefore, the resistivity of the metal wire is 1.8342 x 10^-6 Ωm.
Community Answer
17. Resistance of a metal wire of length 1 m is 26Ω. If the diameter o...
R = ( rho × l ) / A
You can apply this formula....
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17. Resistance of a metal wire of length 1 m is 26Ω. If the diameter of the wire is 0.3 mm, what will be the resistivity of the metal?
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