1. Calculate the vector potential arising from a uniform distribution of current in a long circular cylinder of radius a

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1 Calculate The Vector Potential Arising From A Uniform Distribution Of Current In A Long Circular Cylinder Of Radius A 1 (39.17 KiB) Viewed 26 times

1. Calculate the vector potential arising from a uniform distribution of current in a long circular cylinder of radius a. Hint: In class we showed how to calculate B inside and outside an infinite copper cylinder. Using the determinate expression for the curl of a vector in cylindrical coordinates, 12 VXA= |A| PA A = We also know that A points in the 2 direction so Ap = All () and that A, only depends on the radial component p. Use the expression for B and set it equal to the determinant for r <a and r>a and integrate in cach case to find A, as a function of p.