Question

A non-linear one-port device has a voltage applied across ts terminals, and the corresponding current i is some some function of v. The device is said to have a differential resistance defined by eq Δι where both Δν and Δί are assumed to be very small so that the i, v relationship is approximately linear. Consider the following scenarios and determine the differential resistance in each case. (A) Suppose a device has an exponential response (10uA) exp (v/0.25 V). If the device's voltage is kept very close to 0.5 V, what is the differential resistance? Hint: apply a first-order Taylor approximation centered at 0.5 V). (B) A temperature sensor is specified to provide 2mV/°C. When the sensor is con nected to a load resistance of 10 kS2, and the temperature is changed by 10 °C, the output voltage is observed to change by 10mV. What is the sensor's differential resistance?

Answer 1