4.3. A thermometer having first-order dynamics with a time constant of 1min is placed in a temperature bath at 100°F. After the thermometerreaches steady state, it is suddenly placed in a bath at 110°F at t = 0 andleft there for 1 min, after which it is immediately returned to the bath at100°F.a. Draw a sketch showing the variation of the thermometer reading withtime.b. Calculate the thermometer reading at t = 0.5 min and at t=2.0 min.

A first-order system is a type of linear time-invariant (LTI) dynamic system that can be…

4.3. A thermometer having first-order dynamic min is placed in a temperature bath at 100 reaches steady state, it is suddenly placed in left there for 1 min, after which it is immedia 100°F. a. Draw a sketch showing the variation of the time. b. Calculate the thermometer reading at t = 0.5

4.3. A thermometer having first-order dynamic min is placed in a temperature bath at 100 reaches steady state, it is suddenly placed in left there for 1 min, after which it is immedia 100°F. a. Draw a sketch showing the variation of the time. b. Calculate the thermometer reading at t = 0.5

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

4.3. A thermometer having first-order dynamics with a time constant of 1
min is placed in a temperature bath at 100°F. After the thermometer
reaches steady state, it is suddenly placed in a bath at 110°F at t = 0 and
left there for 1 min, after which it is immediately returned to the bath at
100°F.
a. Draw a sketch showing the variation of the thermometer reading with
time.
b. Calculate the thermometer reading at t = 0.5 min and at t=2.0 min.

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Step 1: First order system

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Step 2: Transfer function calculation

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Step 3: (a) Plot of thermometer variation with time

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Step 4: (b) Calculation of the thermometer reading

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