A long metal cylinder of radius a has the z-axis as its axis of symmetry. The cylinder carries a steady current of uniform current density J = Jzez. Derive an expression for the magnetic ﬁeld at distance r from the axis, where r<a. By resolving the cylindrical unit vector eφ along the x- and y -axes, show that the magnetic ﬁeld at any point P inside the cylinder is B(x, y, z)= μ0/2 Jz(−yex + xey) , where P has Cartesian coordinates (x, y, z), and (x^2 + y^2) < a^2.

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OpenStudy (anonymous):

A long metal cylinder of radius a has the z-axis as its axis of symmetry. The cylinder carries a steady current of uniform current density J = Jzez. Derive an expression for the magnetic ﬁeld at distance r from the axis, where r 12 years ago

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