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Magnetic field due to current element

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A system consists of two parallel planes carrying currents producing a uniform magnetic field of induction B between the planes. Outside this space there is no magnetic field. The magnetic force acting per unit area of each plane is found to be B2Nμ0. Find N.


Let J be the current per unit length. 


Magnetic field due to one plane - B/2

 Force on other plane F=B2Jl1l2 This force is on the shaded part.  Force per unit area: Fl1l2=B2J=B2Bμ0=B22μ0 Hence N = 2


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