Calculating Induced e.m.f and Power in a Perpendicular Coil

AI Thread Summary
Faraday's law of electromagnetic induction states that the induced electromotive force (e.m.f.) in a coil is proportional to the rate of change of magnetic flux through it. In this scenario, a coil with 1000 turns and a resistance of 23.0 ohms is placed in a magnetic field that switches off in 0.005 seconds, with a magnetic flux density of 5.3 x 10^5 T. The average induced e.m.f. can be calculated using the formula ε = -N(dφ/dt), where N is the number of turns. The discussion highlights the importance of including the number of turns in the calculations for accurate results. The calculations for average induced e.m.f. and electrical power generated in the coil are essential for understanding electromagnetic induction principles.
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a) State Faraday’s law of electromagnetic induction.
[ mark
b) A coil of 1000 turns, resistance 23.0 ohms and cross-sectional area of 4.0 cm squared is positioned perpendicular to a magnetic field which is switched off in 0.005 s.
I) What is the average induced e.m.f. if the magnetic flux density of the magnetic field is 5.3 x 10^5 T?

ii) What is the average electrical power generated in the coil if its ends are short circuited?


If its not asking to much, give me answer i need to compare to mine

Thank you for ur kindness
 
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Tell us what you got and how you got it! :-)
 
sounds like homework, is it not ?

a) the formula gives the emf (generated voltage = "electro motrice force" is it not ?) \epsilon (the minus sign is Lenz's law)
\epsilon = - \frac{d\phi}{dt}

You can find this anywhere, this is no big deal just giving it to you. Typing "Faraday induction" in google is enough.

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EDIT I first gave the answers to the other questions, then deleted them because of the previous post. Yet, I would also doubt about the huge numbers obtained. This is because of the enormous magnetic field.
 
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shouldnt be the formula: E = -N *(dф)/(dt) ?


ur right about the magnetic fiels it should be to the power of -5, sorry for that mistake
 
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Either you define the flux through one coil, and then you get an extra N factor, or you define the flux through the N turns from the begining. But yes, don't forget the N in the formula. Since your coils are perpendicular to the magnetic field, the equation is quite simple. :smile:
 
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