Answered: An electrical cartridge heater is used…

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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Question

An electrical cartridge heater is used to heat water to a temperature of 50C in a manufacturing
process. The heater is powered by 240V source and draws 15A of current. The length and diameter
of the cartridge heater are 60cm and 1.5cm respectively. If the heater is immersed in the water
such that the heat transfer coefficient is 4500 ?/?2 ?, find the surface temperature of the cartridge
heater.

Expert Solution

Step 1

Here, we have given a problem related to an electrical water heater. We are using this electrical water heater for manufacturing process so, we have to heat the water having the temperature of $50 ° C$ .

The voltage and current requirement of this electrical water heater are defined in the problem. The length and the diameter of the cartridge of the heater are defined.

And, we have also provided the information about the heat transfer coefficient of this electrical water heater.

So, we have to calculate the temperature of the surface of the cartridge of the heater .

The information we have given:

$\begin{array}{rcl} T_{w a t e r} & = & 50 ° C \\ V & = & 240 V \\ I & = & 15 A \\ L e n g t h o f t h e c a r t r i d g e o f t h e h e a t e r, l & = & 60 c m = 0.60 m \\ D i a m e t e r o f t h e c a r t r i d g e o f t h e h e a t e r, d & = & 1.5 c m = 0.015 m \\ h e a t t r a n s f e r c o e f f i c i e n t, h & = & 4500 W / m^{2} K \end{array}$

So, we will follow the below given procedure for required results.

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