Final answer:
The measured resistance of the 10kΩ NTC thermistor with β = 3500 at a temperature of 42°C is 9.94kΩ.
Step-by-step explanation:
The resistance R of a thermistor can be calculated using the equation R = Ro(1+ αAT), where Ro is the initial resistance, α is the temperature coefficient of resistance, In this case, we have a 10kΩ NTC thermistor with β = 3500 and an initial temperature of 25°C.
The measured temperature is 42°C. To find the measured resistance, we can substitute the given values into the equation: R = 10kΩ (1 + (-0.06/°C)(42°C - 25°C)) = 10kΩ (1 + (-0.06/°C)(17°C)) = 10kΩ (1 - 0.006) = 10kΩ * 0.994 = 9.94kΩ.
Therefore, the measured resistance of the thermistor is 9.94kΩ.