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Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)?
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Calculate the resistance of 2 km long copper wire of radius 2mm.( Resi...
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Calculate the resistance of 2 km long copper wire of radius 2mm.( Resi...
Calculation of resistance of a copper wire
Given:
- Length of copper wire = 2 km = 2000 m
- Radius of copper wire = 2 mm = 0.002 m
- Resistivity of copper = 1.72 x 10^-8 Ωm
Formula:
The formula to calculate the resistance of a wire is:
R = ρl / A
Where,
- R = Resistance of wire in ohms (Ω)
- ρ = Resistivity of copper in ohm-meters (Ωm)
- l = Length of wire in meters (m)
- A = Cross-sectional area of the wire in square meters (m^2)
Calculation:
The cross-sectional area of the copper wire can be calculated as:
A = πr^2
Where,
- r = radius of the copper wire in meters
Substituting the given values in the formula, we get:
A = π(0.002)^2 = 1.2566 x 10^-5 m^2
Now, substituting the values of resistivity, length, and cross-sectional area in the formula for resistance, we get:
R = (1.72 x 10^-8) x 2000 / (1.2566 x 10^-5) = 2.75 Ω
Conclusion:
The resistance of the 2 km long copper wire of radius 2 mm is 2.75 Ω.
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Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)?
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Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)? 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 Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)?.
Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)? 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 Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of 2 km long copper wire of radius 2mm.( Resistivity of copper = 1.72 *1 0^-8)?.
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