Question

A thermometer possessing a thermal time constant of 0.5 min is introduced in a bath where the temperature is increasing at a constant rate of 5°C/min. The steady state error

• A. 10°C
• B. 2.5°C
• C. 0.1°C
• D. 0.4°C

Answer 1

The correct option is B 2.5°C

$\tau =0.5min$

$k=5^{\circ }C/min$

The system acts as if a ramp input of value 5°C/min in applied as the input.

$\text{error due to ramp input =}k\tau$

$=5\times 0.5=2.5°C$