Computing the emf induced in a coil

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Discussion Overview

The discussion revolves around a homework problem concerning the computation of the electromotive force (emf) induced in a coil that is part of a rotating system within a magnetic field. The problem includes parameters such as the number of turns in the coil, the rotational speed, and the magnetic flux, but lacks information about the coil's area or diameter. Participants explore the implications of these missing details on solving the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents the problem statement and attempts to apply the formula for induced emf, noting the given answer from the textbook.
  • Another participant questions the absence of the coil's area or diameter, suggesting it is necessary for calculating the flux.
  • A subsequent reply confirms the lack of area information and expresses uncertainty about whether the problem is solvable without it.
  • One participant acknowledges that the flux is provided but emphasizes the need to consider how the effective flux changes as the coil rotates.
  • There is a discussion about the terminology used in the problem, specifically questioning why the magnetic field is described as radial.

Areas of Agreement / Disagreement

Participants generally agree that the problem lacks complete information, particularly regarding the area of the coil. There is no consensus on how to proceed with the solution, as uncertainty remains about the implications of the missing parameters.

Contextual Notes

The discussion highlights limitations in the problem statement, particularly the absence of the coil's area, which is critical for calculating the induced emf. Participants also note the dependence on the angle of the rotating coil and the nature of the magnetic field described.

NoPhysicsGenius
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Homework Statement



The following is Problem 1-13 on page 23 from Electrical Engineering Fundamentals, 2nd ed., by Vincent del Toro:

"In the configuration shown in Fig. P1-13 the coil has 100 turns and is attached to the rotating member which revolves at 25 \frac{rev}{s}. The magnetic flux is a radial uniform field and has a value of \phi = 0.002 weber (Wb). Compute the emf induced in the coil."

Here is Fig. P1-13 ...

http://www.flickr.com/photos/jjhobson/8005932239/in/photostream

Homework Equations



e = - \frac{d\lambda}{dt} = -N\frac{d\phi}{dt}

Note that e stands for emf (or electromotive force), \lambda stands for the flux linkage in weber-turns, N stands for the number of turns in the coil, and \phi stands for the magnetic flux.

The Attempt at a Solution



First of all, the answer given in the back of the book is 20 Volts.

e = -N\frac{d\phi}{dt} = -(100)\frac{d\phi}{dt}
\Rightarrow \frac{d\phi}{dt} = -\frac{e}{100}
\Rightarrow d\phi = -\frac{e}{100}dt
\Rightarrow \phi = -\frac{1}{100}\int e dt = 0.002 Wb
\Rightarrow \int e dt = -0.2 Wb

Unfortunately, I don't know where to go from here. Also, I don't know where the 25 rev/s quantity comes into play.

Any help would be greatly appreciated. Thank you.
 
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They didn't give you the area or diameter of the coil?
 
rude man said:
They didn't give you the area or diameter of the coil?

No, they did not. I double-checked to see whether I left anything out in my statement of the problem; but what I have is all that the book gave me. Do you think that the problem doesn't give complete information in order to solve it?

And, thank you for responding.
 
Yes, unless I'm really missing the boat here, you need to know the area, because
flux = B times area and emf = -N{d(flux)/dt} so seems like you need area of coil.

EDIT: oops, i goofed. They're already giving you the flux.

So go ahead with the rest ... realize that the effective flux is a function of the angle of the rotating part though.

BTW I do wonder why they call it a radial field. Its direction is not radial with the rotating member. It's a constant-direction B field across the pole pieces of the magnet.
 
rude man said:
Yes, unless I'm really missing the boat here, you need to know the area, because
flux = B times area and emf = -N{d(flux)/dt} so seems like you need area of coil.

EDIT: oops, i goofed. They're already giving you the flux.

So go ahead with the rest ... realize that the effective flux is a function of the angle of the rotating part though.

BTW I do wonder why they call it a radial field. Its direction is not radial with the rotating member. It's a constant-direction B field across the pole pieces of the magnet.

Um ... I haven't the slightest clue how to set up this problem. Any hints?
 
NoPhysicsGenius said:
Um ... I haven't the slightest clue how to set up this problem. Any hints?

Well, they're giving you the flux when the coil is aligned so its normal is in the direction of the B field. What happens to the flux thru the coil as it turns?
 

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