Motional emf i thinkchange in area and magnetic field

AI Thread Summary
The discussion centers on calculating the induced electromotive force (emf) in a rectangular loop situated in a uniform magnetic field of 0.29 T, with the area of the coil increasing at a rate of 5.2 x 10^-3 m²/s. Participants clarify that Faraday's law relates emf to the rate of change of magnetic flux, which is defined as the product of the magnetic field and the area. The change in flux can be expressed as the product of the magnetic field and the change in area over time. Despite confusion regarding the number of turns in the wire, it is concluded that for a single loop, the number of turns (N) is one. The conversation emphasizes understanding the relationship between area, magnetic field, and induced emf through Faraday's law.
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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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