Conservation of charge a) from first principles, derive an expression for the conservation of charge (also known as the continuity equation) for a medium with uniform conductivity and permittivity. b) derive an expression for the continuity equation for a medium with a nonuniform conductivity c) using gauss's law as applied to a medium with a nonuniform permittivity, and combining it with your result for b), derive a generalized expression known as the charge relaxation equation where t, = €) is the relaxation time. scanned w camscanner ics

At a certain instant after jumping from the airplane a, a skydiver b is in the position shown and has reached a terminal (constant) speed vb = 52 m/s. the airplane has the same constant speed va = 52 m/s, and after a period of level flight is just beginning to follow the circular path shown of radius ρa = 2330 m. (a) determine the velocity and acceleration of the airplane relative to the skydiver. (b) determine the time rate of change of the speed vr of the airplane and the radius of curvature ρr of its path, both as observed by the nonrotating skydiver.