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The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm?
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The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 de...
Given:
Resistance at 20°C (R₁) = 3.15 ohm
Resistance at 100°C (R₂) = 3.75 ohm
To Find:
Temperature coefficient of resistance (α)
Resistance at 0°C (R₀)
Solution:
The formula to calculate the temperature coefficient of resistance (α) is:
α = (R₂ - R₁) / (R₁ × (T₂ - T₁))
Where:
R₁ = Resistance at temperature T₁
R₂ = Resistance at temperature T₂
T₁ = 20°C
T₂ = 100°C
Step 1:
Calculate the difference in resistance:
ΔR = R₂ - R₁
= 3.75 ohm - 3.15 ohm
= 0.60 ohm
Step 2:
Calculate the difference in temperature:
ΔT = T₂ - T₁
= 100°C - 20°C
= 80°C
Step 3:
Calculate the temperature coefficient of resistance:
α = ΔR / (R₁ × ΔT)
= 0.60 ohm / (3.15 ohm × 80°C)
= 0.60 ohm / 252.00 ohm°C
≈ 0.0024 ohm/°C
The temperature coefficient of resistance (α) is approximately 0.0024 ohm/°C.
Step 4:
Calculate the resistance at 0°C:
R₀ = R₁ - (R₁ × α × T₁)
= 3.15 ohm - (3.15 ohm × 0.0024 ohm/°C × 20°C)
= 3.15 ohm - (0.1512 ohm)
≈ 2.9988 ohm
Therefore, the resistance of the conductor at 0°C is approximately 2.9988 ohm.
Conclusion:
The temperature coefficient of resistance of the conductor is approximately 0.0024 ohm/°C. The resistance of the conductor at 0°C is approximately 2.9988 ohm. Therefore, the correct answer is option 1) 2 ohm.
Resistance at 20°C (R₁) = 3.15 ohm
Resistance at 100°C (R₂) = 3.75 ohm
To Find:
Temperature coefficient of resistance (α)
Resistance at 0°C (R₀)
Solution:
The formula to calculate the temperature coefficient of resistance (α) is:
α = (R₂ - R₁) / (R₁ × (T₂ - T₁))
Where:
R₁ = Resistance at temperature T₁
R₂ = Resistance at temperature T₂
T₁ = 20°C
T₂ = 100°C
Step 1:
Calculate the difference in resistance:
ΔR = R₂ - R₁
= 3.75 ohm - 3.15 ohm
= 0.60 ohm
Step 2:
Calculate the difference in temperature:
ΔT = T₂ - T₁
= 100°C - 20°C
= 80°C
Step 3:
Calculate the temperature coefficient of resistance:
α = ΔR / (R₁ × ΔT)
= 0.60 ohm / (3.15 ohm × 80°C)
= 0.60 ohm / 252.00 ohm°C
≈ 0.0024 ohm/°C
The temperature coefficient of resistance (α) is approximately 0.0024 ohm/°C.
Step 4:
Calculate the resistance at 0°C:
R₀ = R₁ - (R₁ × α × T₁)
= 3.15 ohm - (3.15 ohm × 0.0024 ohm/°C × 20°C)
= 3.15 ohm - (0.1512 ohm)
≈ 2.9988 ohm
Therefore, the resistance of the conductor at 0°C is approximately 2.9988 ohm.
Conclusion:
The temperature coefficient of resistance of the conductor is approximately 0.0024 ohm/°C. The resistance of the conductor at 0°C is approximately 2.9988 ohm. Therefore, the correct answer is option 1) 2 ohm.
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The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm?
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The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm?.
The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The resistance of a conductor at 20 degree C is 3.15 ohm and at 100 degree C It is 3.75 ohm. Determine the temperature coefficient of resistance of a conductor. The resistance of the conductor at 0 degree C will be 1) 2 ohm 2) 3 ohm 3) 6 ohm4) 5 ohm?.
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