A typical AA battery has a potential difference of 1.5 V and stores 10,000 J of chemical energy. An electric fan powered by two AA batteries in series can be treated as a single resistor with resistance 15.0 Ω connected to the batteries. Assume the potential difference provided by the batteries remains constant until they completely run out of energy. In a neat and organized fashion, write out a solution which includes the following: A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch. Draw a circuit diagram and energy bar chart for the system consisting of the batteries and the fan to represent this process. If this fan is run continuously, how long will it take for the batteries to run out of energy? Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that. Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.

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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A typical AA battery has a potential difference of 1.5 V and stores 10,000 J of chemical energy. An electric fan powered by two AA batteries in series can be treated as a single resistor with resistance 15.0 Ω connected to the batteries. Assume the potential difference provided by the batteries remains constant until they completely run out of energy.

In a neat and organized fashion, write out a solution which includes the following:

A sketch of the physical situation with all given physical quantities clearly labeled. If the description above consists of an initial and final state, both of these states should be represented in your sketch.
Draw a circuit diagram and energy bar chart for the system consisting of the batteries and the fan to represent this process.
If this fan is run continuously, how long will it take for the batteries to run out of energy? Clearly show all steps, starting from generalized equations. Explain your mathematical work in words. Your explanation should cover both what you did and the thought process behind why you did that.
Evaluate your answer to determine whether it is reasonable or not. Consider all aspects of your answer (the numerical value, sign, and units) in your evaluation.

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