Calculating the current in a solenoid

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Homework Statement



A short-circuited solenoid of radius b with n turns rotates at an angular velocity
about the diameter of one of the turns in a uniform magnetic field B. The axis of rotation is perpendicular to the magnetic field direction. The resistance and the inductance of the solenoid are equal to R and L, respectively. Find the current in the solenoid as a function of time

Homework Equations



Hint eq: phi = normal vector (dot) Magnetic field (B) s


The Attempt at a Solution



i can't seem to figure out where to start. in order to find the current in the solenoid, do i have to first start with finding the magnetic field (or a specific value of B)? and then plug that into the above eq?
 
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See the first page of,

http://hyperphysics.phy-astr.gsu.edu/hbase/electric/farlaw.html

There is a small error in the first page of the link above, can you find it?

Once you get the induced sinusoidal voltage you can treat the problem as a series circuit consisting of a sinusoidal voltage a resistance and an inductor?

Found via,

http://www.google.com/webhp?hl=en#h...w.,cf.osb&fp=e47bbecef463087a&biw=721&bih=408

See also,

http://www.google.com/search?hl=en&...&um=1&ie=UTF-8&tbm=isch&source=og&sa=N&tab=wi