Chapter 6.1, Problem 6.2P

Good morning, could you help me explain the following concepts of electromagnetism in detail and describing the concepts necessary for its development?:Describe the magnetic vectors H, B and M and what is the relationship between them in the international system of units and in the cgs system? First of all, Thanks.

Evaluate the Larmor frequency for orbital motion in a field of B=1T.

Consider a classical of freedom" that is linear rather than quadratic: E = clql for some constant c. (An example would be the kinetic energy of a highly relativistic particle in one dimension, written in terms of its momentum.) Repeat the derivation of the equipartition theorem for this system, and show that the average energy is E= kT.

What is wmax the magnitude of the dipoles angular velocity when is pointing along the y axis?  If theta0 is small, the dipole will exhibit simple harmonic motion after it is released. What is the period T of the dipoles oscillations in this case?

Show that (a) (b) (c)

A charged particle moves along a straight line in a uniform electric field E with a speed v. If the motion and the electric field are both in the x direction, (a) show that the magnitude of the acceleration of the charge q is given by a=dvdt=qEm(1v2c2)3/2 (b) Discuss the significance of the dependence of the acceleration on the speed. (c) If the particle starts from rest at x = 0 at t = 0, find the speed of the particle and its position after a time t has elapsed. Comment on the limiting values of v and x as t .

If the current in the Helmholtz coils were 1.6 A, rather than 1 A, and the accelerating voltage were still 100 V, what would the radius of the electron's path be? Give your answer in cm, and enter only the number. Blackboard will accept an answer witin 20% of the value it expects.

The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 MeV. (a) From the point of view of the proton, how many kilometers across is the galaxy? (b) How long would it take a proton of this energy to travel across the Milky Way galaxy, having a diameter ~ 105 light-years, as measured in the proton’s frame?

(a) Find the ratio of the strengths of the weak and electromagnetic forces under ordinary circumstances.(b) What does that ratio become under circumstances in which the forces are unified?