A car alternator produces peak output Vo to charge thecar's 12 V battery. Suppose the alternator coil hasdiameter d and is spinning at 1200 revolutions perminute in a magnetic field B. How many turns of wireare required to produce peak output Vo?Vmax = 14.3 V; diameter = 15 cm; revolution frequency = 1270 revolutions per minute; B = 0.16 T

Given Data :The maximum voltage output is The diameter of coil is Revolution frequency is The…

Answered: A car alternator produces peak output…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

A car alternator produces peak output Vo to charge the
car's 12 V battery. Suppose the alternator coil has
diameter d and is spinning at 1200 revolutions per
minute in a magnetic field B. How many turns of wire
are required to produce peak output Vo?
Vmax = 14.3 V; diameter = 15 cm; revolution frequency = 1270 revolutions per minute; B = 0.16 T

Expert Solution

Step 1: INTRODUCTION

Given Data :

The maximum voltage output is $V subscript m a x end subscript equals 14.3 space V$

The diameter of coil is $d equals 15 space c m space equals 0.15 space m$

Revolution frequency is $omega equals 1270 space fraction numerator r e v over denominator m i n end fraction equals fraction numerator 1270 cross times 2 pi over denominator 60 end fraction fraction numerator r a d over denominator s end fraction equals 133 space fraction numerator r a d over denominator s end fraction$

The magnitude of the magnetic field is $B equals 0.16 space T$

Now, Area of the coil is

$A equals pi d squared over 4 space space space equals pi left parenthesis 0.15 right parenthesis squared over 4 space space space equals space 0.01767 space m squared$

Voltage is given by

$V subscript m a x end subscript equals N B A omega..... left parenthesis 1 right parenthesis$

Where,

$N$ is the number of turns .

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