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Problem 6. A flat strip of metal is located in the z - y plane. It extends infinitely in the ±y-directions, and from x =-0.01 to x = +0.01. It carries a total current of 50A in the +y-direction, distributed over the width so that the surface current density is 2500 A/m. (a) Use integration to find the exact magnetic field at 0, y 0, z 0.03. (b) Generalize your result to any value ofz. (c) Show that for large values of z, for example z50, the magnetic field can be approximated as that of a simple line current (d) What is the magnetic field as z approaches zero?

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