Electromagnetic Induction and Faraday's Law

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Homework Help Overview

The discussion revolves around a problem related to electromagnetic induction and Faraday's Law, specifically focusing on the output voltage of a car generator at different rotational speeds measured in rpm. Participants are exploring the relationship between rotation speed and voltage output, while also considering the implications of back electromotive force (EMF).

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply the formula E = NBAω but expresses uncertainty about the variables, particularly regarding the meaning of N and the relationship between rpm and angular velocity. Some participants suggest setting up a proportion to relate the initial and final conditions of the generator's output voltage. Others raise the consideration of back EMF in the context of constant conditions.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the variables involved in the formula. There is an ongoing exploration of the implications of back EMF, with some participants questioning its relevance under the assumption of constant conditions. Multiple interpretations of the problem are being discussed, indicating a productive exchange of ideas.

Contextual Notes

Participants are navigating the definitions of terms such as angular velocity and back EMF, while also dealing with the constraints of the problem as presented in the homework context. There is an acknowledgment of the potential complexities introduced by factors like back EMF, despite the original assumption of constant conditions.

airkapp
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The generator of a car idling at 950 rpm produces 12.4 V. What will the output be at a rotation speed of 2500 rpm assuming nothing else changes?

I'm guessing that is easier and I'm looking to make it harder. I can't find anything in my textbook involving rpm. I'm thinkin to use this formula
E = NBAw but I'm actually not quit sure how to approach the problem.

is N my rpm? and then I do an initial rpm and final rpm sequence?
 
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N is number of loop... \omega is the angular velocity...

the rpm (rotation per minute, or radian per minute) is directly proportional to the angular velocity... does that make sense to you?
 
vincentchan said:
N is number of loop... \omega is the angular velocity...

the rpm (rotation per minute, or radian per minute) is directly proportional to the angular velocity... does that make sense to you?


so i could set this up as a proportion?

950/12.4 V =2500/x Volts ?

thanks.
 
I think you should also consider the back EMF.
 
ramollari said:
I think you should also consider the back EMF.

sorry, I'm not following. If all things remain constant why would I consider that? The back emf oppose the motion (Lenz's law) correct, but if everything remains constant... :confused:
 

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