So i have this [project] Induction

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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
Diagram of a toroidal coil: a ring-shaped grey core wound with wire, with current I shown entering and leaving the winding, dashed circular path labelled B, and radii a and b marked from the centre.

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