Motional emf i thinkchange in area and magnetic field

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Homework Help Overview

The discussion revolves around a problem involving motional electromotive force (emf) in a rectangular loop situated in a uniform magnetic field. The loop's area is increasing, and participants are exploring the relationship between the changing area, magnetic field, and induced emf.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses confusion regarding the relationship between the changing area of the coil and the magnetic field, questioning the concept of magnetic flux. Some participants reference Faraday's law and discuss the rate of change of magnetic flux, while others attempt to clarify the calculations involved in determining the induced emf.

Discussion Status

Participants are actively engaging with the problem, with some providing guidance on applying Faraday's law to relate emf to the change in flux. There is an ongoing exploration of how to approach the calculation without specific values for the number of turns in the loop.

Contextual Notes

There is a lack of information regarding the number of turns in the loop and the time variable, which is affecting the participants' ability to finalize their calculations.

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motional emf i think... change in area and magnetic field

Homework Statement



A rectangular loop is located in a uniform magnetic field of magnitude 0.29 T directed perpendicular to the plane of the coil. If the area of the coil increases at the rate of 5.2 10-3 m2/s, what is the magnitude of the emf induced in the coil?

Homework Equations



ummmm maybe emf=blv
emf=-L (I/t)


The Attempt at a Solution



honestly i don't even understand conceptually what is going on in this problem so it is hard for me to find any equation(s) to help me solve it. The area of the coil decreases? that doesn't make sense to me and i have no idea what correlation that has to magnetic field other then flux=BA... so help?
 
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Faraday's law relates EMF to the rate of change of the flux. (See: Faraday's Law.) What's the rate of change of the flux?
 


Doc Al said:
Faraday's law relates EMF to the rate of change of the flux. (See: Faraday's Law.) What's the rate of change of the flux?

Well the change in magnetic flux would be flux=B(deltaA)

so the change in flux should equal .001508

then faraday's law is emf=-N (change in flux)/change in time

but there arent any turns in this wire and also there is no time given. but if you put in 1 for each you get the change in flux which got a red x...ugh
 


Try this:

Flux = BA, but B is fixed so only A changes.

Δ(Flux)/Δt = Δ(BA)/Δt = B ΔA/Δt
 


Doc Al said:
Try this:

Flux = BA, but B is fixed so only A changes.

Δ(Flux)/Δt = Δ(BA)/Δt = B ΔA/Δt


ok so that gives me the change in flux. But how do i go about getting the emf without having a value for "N" or the number of turns?
 


It's a single loop--so what do you think N is? :wink:
 

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