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

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Homework Help Overview

The discussion revolves around calculating the induced electromotive force (e.m.f) and power generated in a coil positioned in a magnetic field. The problem involves applying Faraday's law of electromagnetic induction in the context of a coil with specific parameters, including resistance and cross-sectional area, as the magnetic field is switched off.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of Faraday's law, with some referencing the formula for induced e.m.f and questioning the accuracy of the magnetic field value. There are attempts to clarify the role of the number of turns in the coil and how it affects the calculations.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the formulas involved. Some have offered clarifications regarding the inclusion of the number of turns in the calculations, while others express doubts about the large values obtained from the magnetic field strength.

Contextual Notes

There is a mention of homework constraints, with participants questioning the appropriateness of directly providing answers. The original poster seeks comparison with their own calculations, indicating a desire for validation rather than direct solutions.

islandguy
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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
 
Last edited:
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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 ?) [tex]\epsilon[/tex] (the minus sign is Lenz's law)
[tex]\epsilon = - \frac{d\phi}{dt}[/tex]

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

_____________________________
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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