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 FormulaThe 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 Coefficient1. **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 ResultThe 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.
ConclusionUnderstanding the temperature coefficient is crucial for applications where temperature changes affect electrical resistance, ensuring the reliable performance of electrical components.