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Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m?
Most Upvoted Answer
Calculate the resistance of 1km long copper wire of radius 1mm. Resist...
Solution:
Given: length= 1 km = 1000m
radius= 1mm
Given: length= 1 km = 1000m
radius= 1mm
= 1*10^-3m
and resistivity = 1.72*10^-8 ohm m
Area of cross section
and resistivity = 1.72*10^-8 ohm m
Area of cross section
= πr = 3.14*(10^-3)= 3.14* 10^-6m
Now, resistance = (resistivity*length)/(area of cross section)
resistance
resistance
= (1.72*10^-8*1000)/(3.14*10^-6)
resistance = 1.72*10/3.14
resistance = 5.478 ohm
resistance = 5.478 ohm
Hence, the resistance of a copper wire is 5.478 ohm.
For detailed notes on how to find the resistance of a combination of resistors click on the link given below:
Community Answer
Calculate the resistance of 1km long copper wire of radius 1mm. Resist...
Calculation of Resistance of Copper Wire
Given:
Formula:
Resistance of wire (R) = (ρ * l) / A
where A = π * r2
Calculation:
Therefore, the resistance of 1km long copper wire of radius 1mm is 0.00547 Ω. This means that a current of 1A flowing through this wire will produce a voltage drop of 0.00547V. The resistance of the wire can be reduced by increasing the radius of the wire or by using a material with lower resistivity. Copper is a common choice for electrical wiring because of its relatively low cost and good conductivity.
Given:
- Length of copper wire (l) = 1km = 1000m
- Radius of copper wire (r) = 1mm = 0.001m
- Resistivity of copper (ρ) = 1.72 × 10-8 Ω m
Formula:
Resistance of wire (R) = (ρ * l) / A
where A = π * r2
Calculation:
- Area of cross-section (A) = π * r2 = 3.14 * (0.001)2 = 3.14 * 10-6 m2
- Resistance of wire (R) = (ρ * l) / A = (1.72 × 10-8 * 1000) / (3.14 * 10-6) = 0.00547 Ω
Therefore, the resistance of 1km long copper wire of radius 1mm is 0.00547 Ω. This means that a current of 1A flowing through this wire will produce a voltage drop of 0.00547V. The resistance of the wire can be reduced by increasing the radius of the wire or by using a material with lower resistivity. Copper is a common choice for electrical wiring because of its relatively low cost and good conductivity.
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Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m?
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Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m? 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 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m?.
Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m? 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 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of 1km long copper wire of radius 1mm. Resistivity of copper 1.72×10(10resto bar 8) ohm m?.
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