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**A coil is located at the center of a long solenoid of radius R = 15cm which has 5x10^7 turns per meter and carries a current I = 16A. The coil is coaxial with the solenoid and consists of 5 turns of wire each in the shape of a square of length a = 5cm on each side.What is the magnetic flux passing through each loop of the coil? If the current in the solenoid is not constan but varies as I=Im cos wt, where Im = 16A and w = 10rad/sec, find the peak emf induced in the coil.**

**I would like to offer relevant equations but I don't think I have any. I have tried the equations I thought were relevant without coming up with the correct equation**

**flux = NiA -> 16*.05*5=4 but the correct answer is 2.5. I haven't even got a clue about peak emf...**