Topic: Magnetic Fields Due to Current Distributions & Relativistic Effects Problem Statement: Koo (azimuthal direction). The A long, thin cylindrical shell of radius R carries a surface current K = cylinder rotates about its axis with angular velocity w, creating a volume current density J in the lab frame. 1. Part A (Classical): Calculate the magnetic field B inside and outside the cylinder in the lab frame. Show that the field outside resembles that of an infinite solenoid. 2. Part B (Relativistic): An observer moves with velocity v = v parallel to the cylinder axis. Using Lorentz transformations, find the electric and magnetic fields E' and B' in the moving frame. Discuss the physical interpretation of E'. 3. Part C (Advanced): The cylinder is now superconducting (perfect diamagnet). A uniform external field Bext = Boz is applied. Find the induced surface current Kind and the total magnetic field everywhere.