Step 1: Calculate the resistance of the thermistor at -100°C using the formula \( R_2 = R_1 \times e^{B \times \left(\frac{1}{T_1} - \frac{1}{T_2}\right)} \), where \( R_1 = 2600 \Omega \), \( B = 3140 K \), \( T_1 = 308 K \), and \( T_2 = 173 K \).
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