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For the following problem show detail solution steps including diagrams, equations used, reasoning, units and calculations. A coaxial cable has a central conductor of radius RA o.005 m) and a coaxial cylindrical shell of inner radius RB 0.015 m) and outer radius Rc 0.020 m). The central conductor carries a current li 10 Amps) and the outer conductor carries a uniformly distributed current 20 Amp) but in an opposite direction of li. Derive expressions (not numerical values) for the magnetic field produced at radial points (i) r <RA, (ii) RA <r <RB, (iii RB<rk Rc and (iv) r Rc. Plot the B-field as a function of r. On your graph label points A, B, and C with appropriate proportion and label values (numerical) on the y-axis for the various interfaces.

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