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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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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.
- 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....
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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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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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