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An infinitesimal thin current sheet in whole x-y Plane, carries a constant uniform current density with...

An infinitesimal thin current sheet in whole x-y Plane, carries a constant uniform current density with α as magnitude per unit length to current direction

a) State Ampere´s law.

b) use symmetry to make a suitable ansatz for magnetic induction. Think about direction and dependencies of the variables. |B_0|= (μ_0 α)/2 show B for z>0 and z<0.

c) Now we have an ext. magnetic field B_ext, one side of the sheet cancels out, other side gets |B_tot|. What is the force density f on the current sheet?

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