Three infinite planes current sheets, each of a uniform current density, exist in the coordinate planes...

 

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Three infinite planes current sheets, each of a uniform current density, exist in the coordinate planes of a Cartesian coordinate system. The magnetic flux density due to these current sheets are given at three points as follows: at (1,5,3), B₁ = B₁(ax + 2ay), at (6, -1,2), B₂ = Bo(-ax+ 2a,+ a₂), at (1,2,-2), B3 = Bo(ax + 2a₂). Let the current densities on the sheet be Js1.Js2.Js3 on the x=0,y=0 and z=0 planes, respectively. Find the magnetic flux density at the following points: a/ (-1,1,4) b/ (-1,-2,-4) Hint: Compute the current densities on the sheet and find out the magnetic flux density. Three infinite planes current sheets, each of a uniform current density, exist in the coordinate planes of a Cartesian coordinate system. The magnetic flux density due to these current sheets are given at three points as follows: at (1,5,3), B₁ = B₁(ax + 2ay), at (6, -1,2), B₂ = Bo(-ax+ 2a,+ a₂), at (1,2,-2), B3 = Bo(ax + 2a₂). Let the current densities on the sheet be Js1.Js2.Js3 on the x=0,y=0 and z=0 planes, respectively. Find the magnetic flux density at the following points: a/ (-1,1,4) b/ (-1,-2,-4) Hint: Compute the current densities on the sheet and find out the magnetic flux density.