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A long, straight, solid cylinder, oriented with its axis in the z-direction, carries a current whose current density is
where the radius of the cylinder is a = 5.00 cm, r is the radial distance from the cylinder axis, b is a constant equal to 600 A/m, and δ is a constant equal to 2.50 cm. (a) Let I0 be the total current passing through the entire cross section of the wire. Obtain an expression for I0 in terms of b, δ, and a. Evaluate your expression to obtain a numerical value for I0. (b) Using Ampere's law. derive an expression for the magnetic field
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