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A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire????
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A wire of resistance 2 ohm is stretched to double it's length ,such th...
if area of cross-section is constant then resistance=4 ohm.if area of cross-section is not constant resistance=8 ohm.
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A wire of resistance 2 ohm is stretched to double it's length ,such th...
Introduction
When a wire is stretched to double its length while maintaining constant volume, its resistance changes. Let's analyze how the resistance is affected.
Initial Parameters
- Resistance (R1): 2 ohms
- Length (L1): Original length of the wire
- Cross-Sectional Area (A1): Original area of the wire
- Volume (V): Constant during stretching
Volume Conservation
The volume of the wire is given by the formula:
V = L * A
Since the volume remains constant during stretching:
V1 = V2
=> L1 * A1 = L2 * A2
Given that the length is doubled (L2 = 2 * L1):
L1 * A1 = 2 * L1 * A2
=> A2 = A1 / 2
Effect on Resistance
Resistance is defined by the formula:
R = ρ * (L / A)
Where ρ is the resistivity of the material.
- Initial Resistance:
R1 = ρ * (L1 / A1) = 2 ohms
- New Resistance after stretching:
R2 = ρ * (L2 / A2)
=> R2 = ρ * (2 * L1 / (A1 / 2))
=> R2 = ρ * (4 * L1 / A1)
Thus, we can express R2 in terms of R1:
R2 = 4 * R1
Final Calculation
Substituting the initial resistance:
R2 = 4 * 2 ohms = 8 ohms
Conclusion
After stretching the wire to double its length while keeping the volume constant, the new resistance of the wire is 8 ohms.
When a wire is stretched to double its length while maintaining constant volume, its resistance changes. Let's analyze how the resistance is affected.
Initial Parameters
- Resistance (R1): 2 ohms
- Length (L1): Original length of the wire
- Cross-Sectional Area (A1): Original area of the wire
- Volume (V): Constant during stretching
Volume Conservation
The volume of the wire is given by the formula:
V = L * A
Since the volume remains constant during stretching:
V1 = V2
=> L1 * A1 = L2 * A2
Given that the length is doubled (L2 = 2 * L1):
L1 * A1 = 2 * L1 * A2
=> A2 = A1 / 2
Effect on Resistance
Resistance is defined by the formula:
R = ρ * (L / A)
Where ρ is the resistivity of the material.
- Initial Resistance:
R1 = ρ * (L1 / A1) = 2 ohms
- New Resistance after stretching:
R2 = ρ * (L2 / A2)
=> R2 = ρ * (2 * L1 / (A1 / 2))
=> R2 = ρ * (4 * L1 / A1)
Thus, we can express R2 in terms of R1:
R2 = 4 * R1
Final Calculation
Substituting the initial resistance:
R2 = 4 * 2 ohms = 8 ohms
Conclusion
After stretching the wire to double its length while keeping the volume constant, the new resistance of the wire is 8 ohms.
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A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire????
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A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire???? 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 A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire???? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire????.
A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire???? 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 A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire???? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wire of resistance 2 ohm is stretched to double it's length ,such that it's volume remains constant....what is resistance of such wire????.
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