I have no idea how to go at theseMaxwell equations, PLEASE HELP
Maxwell's Equations (in free space) for the electromagnetic fields in rationalized MKS units are given by the following: Here E rightarrow is the electric field, B rightarrow is the magnetic field, t is time, rho e is the electric charge density, J rightarrow is the electric current density, epsilon 0 is the permittivity of free space (8.854 times 10-12 F/m), mu 0 is the permeability of free space (4 pi times 10-7 H/m). The amount of electric charge Q in a region of space R is given by the volume integral: , while the total electric current (charge per unit of time) flowing through a surface S is given by the surface integral Consider a charge density which is spherically symmetric about the origin and which vanishes for rho (the radical distance from the origin) > a. Let What is the electric field at R rightarrow where |R rightarrow| > a? Show that electric charge conservation is a consequence of Maxwell's equations. That is, show that the rate at which electric charge changes in a region of space is equal to the rate at which charge is flowing into or out of the region. Under what conditions can the electric field be written as - phi where phi is a scalar potential function? The EMF (electro motive force) measured in volts is the line integral T^ ds around the closed path C. How is this EMF related to what the magnetic field is doing?
