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I used the equation of N(Bdt)A and got the above answer which is wrong. Thanks!

ID: 1633171 • Letter: I

Question

I used the equation of N(Bdt)A and got the above answer which is wrong. Thanks!

A29-turn dolar color radus 480o" and resistance 1.00 nisplaced i,magnetic feld deected per endolar to the plane ofthe coil. The magritude ofthe magnetic field varies in tirne according to the expression -00100t * 0.040 or, where B is in teslas and t is in seconds. Calculate the induced e d in the col at t-4,40 s. This is equal to the average emf over the time interval between 0 and 440 seconds. The problem asks for the instantaneous value of the enf, mv Need Help?

Explanation / Answer

number of turns N=29 turns

radius r=4.8 cm

area A=3.14*0.048^2=7.235*10^-3 m^2

db/dt=d/dt(0.01t+0.04t^2)=0.01+0.08t=0.01+0.08*4.4=0.362 T/s

now we find the induced emf

the induced emf e=NAdB/dt

=29*7.235*10^-3*0.362

=75.95*10^-3 v

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