An air-filled toroidal solenoid has a mean radius of 16.0 c m and a cross-sectio

Question

                    An air-filled toroidal solenoid has a mean radius of                     16.0cm                     and a cross-sectional area of                     5.00cm2                     . When the current is                     15.0A                     , the energy stored is                     0.450J                     .                 

                                     How many turns does the winding have?
                    
                    I can't figure this out for the life of me! I have a test tomorrow and I would like to study this question in preparation. Please help!

Explanation / Answer

Magnetic field of a toroid with N turns of wire, mean radius R, and current I is given by:

B(toroid) = ?NI/2?R

Magnetic energy stored by such a toroid is given by:

E =

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