Automatic Control Systems - Engineering

Q1:

A thermometer requires 1 minute to indicate 98% of its final response to a step input. If it is a first order system the time constant is

A 1 minute

B 0.5 minute

C 0.25 minute

D 0.1 minute

ANS:C - 0.25 minute

0.98 = 1 - e-1/T or T = 0.25 minute.