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A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient?
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A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 ...
To calculate the temperature coefficient of resistance, we can use the formula:
Temperature Coefficient Formula
The formula for the temperature coefficient of resistance (α) is given by:
α = (R2 - R1) / (R1 * (T2 - T1))
Where:
- R1 = Resistance at initial temperature (T1)
- R2 = Resistance at final temperature (T2)
- T1 = Initial temperature
- T2 = Final temperature
Given Values
- R1 = 25.00 Ω (at 20°C)
- R2 = 25.17 Ω (at 35°C)
- T1 = 20°C
- T2 = 35°C
Calculating the Temperature Coefficient
1. **Calculate Change in Resistance (ΔR)**:
ΔR = R2 - R1 = 25.17 Ω - 25.00 Ω = 0.17 Ω
2. **Calculate Change in Temperature (ΔT)**:
ΔT = T2 - T1 = 35°C - 20°C = 15°C
3. **Substitute Values into the Formula**:
α = (0.17 Ω) / (25.00 Ω * 15°C)
4. **Perform Calculation**:
α = 0.17 / 375 = 0.0004533 per °C
Final Result
The temperature coefficient of resistance (α) is approximately:
α ≈ 0.0004533 °C⁻¹
This indicates that the resistance of the coil increases by about 0.04533% for each degree Celsius increase in temperature.
Conclusion
Understanding the temperature coefficient is crucial for applications where temperature changes affect electrical resistance, ensuring the reliable performance of electrical components.
Temperature Coefficient Formula
The formula for the temperature coefficient of resistance (α) is given by:
α = (R2 - R1) / (R1 * (T2 - T1))
Where:
- R1 = Resistance at initial temperature (T1)
- R2 = Resistance at final temperature (T2)
- T1 = Initial temperature
- T2 = Final temperature
Given Values
- R1 = 25.00 Ω (at 20°C)
- R2 = 25.17 Ω (at 35°C)
- T1 = 20°C
- T2 = 35°C
Calculating the Temperature Coefficient
1. **Calculate Change in Resistance (ΔR)**:
ΔR = R2 - R1 = 25.17 Ω - 25.00 Ω = 0.17 Ω
2. **Calculate Change in Temperature (ΔT)**:
ΔT = T2 - T1 = 35°C - 20°C = 15°C
3. **Substitute Values into the Formula**:
α = (0.17 Ω) / (25.00 Ω * 15°C)
4. **Perform Calculation**:
α = 0.17 / 375 = 0.0004533 per °C
Final Result
The temperature coefficient of resistance (α) is approximately:
α ≈ 0.0004533 °C⁻¹
This indicates that the resistance of the coil increases by about 0.04533% for each degree Celsius increase in temperature.
Conclusion
Understanding the temperature coefficient is crucial for applications where temperature changes affect electrical resistance, ensuring the reliable performance of electrical components.
Community Answer
A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 ...
0.067 per degree Celsius
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A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient?
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A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient?.
A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A coil has reistance 25 ohm and 25.17 ohm at 20 degree Celsius and 35 degree Celsius what is temperature coefficient?.
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