Temperature Coefficient

Question

The resistance of a conductor at 0°C is 10 Ω. If the temperature coefficient of resistance is 0.004/°C, what is the resistance at 100°C?

RankGuru · Accepted Answer

1. **Temperature Dependence Formula**: $R_t = R_0 (1 + \alpha \Delta t)$, where $\alpha$ is the temperature coefficient.
2. **Identify Data**:
   - $R_0 = 10 	ext{ } \Omega$.
   - $\alpha = 0.004 /^\circ	ext{C}$.
   - $\Delta t = 100 - 0 = 100 ^\circ	ext{C}$.
3. **Calculation**:
   - $R_{100} = 10 	imes (1 + 0.004 	imes 100)$
   - $R_{100} = 10 	imes (1 + 0.4) = 10 	imes 1.4$.
4. **Result**: The resistance increases to **14 Ω**.

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