ENCH 429 Lecture Notes - Lecture 10: Damping Ratio, Settling Time, Step Response

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Supplementary problems chapter #5 part i: a heater for a semiconductor wafer operates with first-order dynamics, that is, the transfer function relating changes in temperature t to changes in the heater input power level p is. 1 where k has units [ c/kw] and has units [minutes]. The process is at steady state when an engineer changes the power input stepwise from 1 to 1. 5 kw. How large will it be: a composition sensor is used to continually monitor the contaminant level in a liquid stream. The dynamic bahavoir of the sensor can be described by a first-order transfer function with a time constant of 10 s, 10s +1 where c" is the actual contaminant concentration and c"m is the measured value. C and cm have values of 5ppm initially (at t=0). An alarm sounds if the measured value exceeds the environmental limit of 7ppm. Suppose that the contaminant concentration c gradually increases according to the expression.