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An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.?
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Calculation of Length of Aluminium Wire to Make 10 ohm Coil
Given Data:
- Diameter of wire: 0.5 mm
- Resistivity of wire: 2.8*10^-6 ohm meter
- Resistance required: 10 ohm
Formula Used:
The resistance of a wire is given by:
R = (ρ * L) / A
Where:
- R = Resistance
- ρ = Resistivity
- L = Length of wire
- A = Cross-sectional area of wire
The cross-sectional area of a wire is given by:
A = πr^2
Where:
- r = radius of wire = diameter / 2
Calculation:
Radius of wire = 0.5 / 2 = 0.25 mm = 0.00025 m
Cross-sectional area of wire = π(0.00025)^2 = 1.9635*10^-7 m^2
Resistance of wire required for 10 ohm coil = 10 ohm
Using the formula R = (ρ * L) / A, we can find the length of wire required:
L = (RA) / ρ = (10 * 1.9635*10^-7) / 2.8*10^-6 = 0.0007 m or 0.7 mm
Answer:
The length of aluminium wire required to make a 10 ohm coil is 0.7 meters or 700 mm.
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An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.?
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An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.? 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 An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.?.
An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.? 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 An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An aluminium wire has a diameter 0.5 mm and resistivity 2.8*10^-6 ohm meter . how much length of wire is required to make 10 ohm coil.?.
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