Answered: At time = 0, a constant heating power…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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At time = 0, a constant heating power of 100 kW is applied to a boiler that intends to raise the temperature of the fluid inside to 100 ºC. The initial temperature of the fluid is 25 ºC. Temperature is taken every 2 minutes, starting at t = 0. The log after 1 hour is shown below. The x-axis is time (in minutes) while the y-axis is the temperature T. The system may be assumed to be of first order. Let θ(t) be the function describing the temperature increase, i.e. θ(t) = T(t) - 25, where T is the actual temperature. The input power is p(t) = 100 u(t) kW.

1. What is a feasible time delay, in minutes, for the system?

2. What is the DC gain of the system O(s)/P(s) in Cº/kW?

3. What is the transfer function O(s)/P(s)

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