So i have this [project] Induction

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The discussion revolves around calculating the induced voltage in a toroidal coil as a magnet moves through its center at a speed of 5 m/s. The main challenge is determining the appropriate area for applying Faraday's equation to find magnetic flux, given that the flux density changes as the magnet moves. Participants emphasize the importance of understanding whether to use the top area of the circular rod or the cross-sectional area for calculations. The complexity arises from the orientation of the wires, which are arranged in a circular manner, complicating the determination of induced current. Ultimately, the goal is to accurately compute the induced voltage as the magnet moves through the toroid.
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so i have this [project]
[PLAIN]http://img841.imageshack.us/img841/1220/finaldiagram.png

N is up, and S is down. Simply a coil of wire in a rod shape goes around the magnet

How do i apply the faradays equation on it. I know the rate the magnet moving up, let's say 5m/s. The problem I'm facing what area do i choose to find the flux on, because if i know this, I can find flux.

Remember, although the flux lines are passing to the area, my flux density is changing therefore, there will be a change in flux thus induced voltage, but I don't understand what area to choose, the top area of the circular rod or the cross section?
 
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you can say the magnet is moving through the center of a Toroid. I need to find the induced voltage as the magnet moves up at variable speed [as a function] through the Toroid on which the wires are wraped around a magnetic core
tor.gif

http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/indtor.html#c1

but don't understand how to find the curent...is it even possible? I can't have the coil to suroudn the magnet..its kinda impossible from the deisgn

actually it looks zero because of the orientation of the wire..the wires are bascially circulars and are grouped together to form a toroid. I need to find the induced voltage through tem
 
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