Answer Happy

Exercise 1: 1) Use the relation between the current and density of charge and deduce the equations of conservation of electric charge. 2) State Maxwell's equations. 3) Show that Maxwell's equations guarantee conservation of electric charge Exercise 2: A ring of copper wire of resistance R is located near the origin. A magnetic monopole comes from somewhere far away, passes through the ring, and continues on its journey to somewhere else far away. Calculate the charge that flows around the ring during the transit of the monopole.
Exercise 3: Problem: Energy flow into a capacitor A capacitor has circular plates with radius a and is being charged by a constant current I. The separation of the plates is w<< a. Assume that the current flows out over the plates through thin wires that connect to the centre of the plates, and in such a way that the surface charge density o is uniform, at any given time, and is zero at t = 0. 1) Find the electric field between the plates as a function of t. 2) Consider the circle of radius r<a shown on the figure (and centered on the axis of the capacitor). Using the integral form of Maxwell's equation over the surface delimited by the circle, find the magnetic field at a distance r from the axis of the capacitor.
7 X r Ꮎ у SP E V Z