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Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛?
Most Upvoted Answer
Calculate the resistance of an aluminum wire of length 60cm and crossa...
Understanding Resistance in Wires
To calculate the resistance of a wire, we can use the formula:
Resistance (R) = ρ * (L / A)
Where:
- ρ = Specific resistance (resistivity) of the material (in ohm-meters)
- L = Length of the wire (in meters)
- A = Cross-sectional area of the wire (in square meters)
Given Data
- Length of the aluminum wire (L): 60 cm = 0.6 m
- Specific resistance of aluminum (ρ): 12.6 × 10^-8 ohm-m
- Cross-sectional area (A): Let's assume the area is 1 mm² = 1 × 10^-6 m²
Calculating Resistance
1. Convert the Cross-sectional Area
- 1 mm² = 1 × 10^-6 m²
2. Substituting Values into the Formula
- R = 12.6 × 10^-8 * (0.6 / 1 × 10^-6)
3. Calculating the Length to Area Ratio
- (0.6 / 1 × 10^-6) = 0.6 × 10^6 = 600000
4. Final Calculation
- R = 12.6 × 10^-8 * 600000
- R = 7.56 × 10^-2 ohms or 0.0756 ohms
Conclusion
The resistance of the aluminum wire is approximately 0.0756 ohms. This value signifies how much the wire resists the flow of electric current, influenced by its length, cross-sectional area, and the specific resistance of aluminum. Understanding this concept is crucial for various applications in electrical engineering and circuit design.
To calculate the resistance of a wire, we can use the formula:
Resistance (R) = ρ * (L / A)
Where:
- ρ = Specific resistance (resistivity) of the material (in ohm-meters)
- L = Length of the wire (in meters)
- A = Cross-sectional area of the wire (in square meters)
Given Data
- Length of the aluminum wire (L): 60 cm = 0.6 m
- Specific resistance of aluminum (ρ): 12.6 × 10^-8 ohm-m
- Cross-sectional area (A): Let's assume the area is 1 mm² = 1 × 10^-6 m²
Calculating Resistance
1. Convert the Cross-sectional Area
- 1 mm² = 1 × 10^-6 m²
2. Substituting Values into the Formula
- R = 12.6 × 10^-8 * (0.6 / 1 × 10^-6)
3. Calculating the Length to Area Ratio
- (0.6 / 1 × 10^-6) = 0.6 × 10^6 = 600000
4. Final Calculation
- R = 12.6 × 10^-8 * 600000
- R = 7.56 × 10^-2 ohms or 0.0756 ohms
Conclusion
The resistance of the aluminum wire is approximately 0.0756 ohms. This value signifies how much the wire resists the flow of electric current, influenced by its length, cross-sectional area, and the specific resistance of aluminum. Understanding this concept is crucial for various applications in electrical engineering and circuit design.
Community Answer
Calculate the resistance of an aluminum wire of length 60cm and crossa...
R = pL /A
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Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛?
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Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛? 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 an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛?.
Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛? 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 an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the resistance of an aluminum wire of length 60cm and crossaction areas mm square the specific resistance of alumnum is 12-6×1⅛?.
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