No Title
PH317 MAGNETISM
WINTER Quarter 2009-2010
Homework Assignment 1
Assigned: Monday 11/30/09
Due: Monday 12/07/09
  1. A point charge q=-4.00 mC travels along a prescribed path in three-dimensional space. When it passes through the point P1(3.00 m,4.00 m,5.00 m) its instantaneous velocity is
    v= æ
    è     		3.00 
    ^
    x
     
    		 +
    ^
    y
     
    		 +6.00 
    ^
    z
     
    		 ö
    ø     		 105 m/s

      (a) Calculate the magnitude and direction of the magnetic field at the point P2(5.00 m,12.0 m,13.0 m).
      (b) At the exact instant charge q passes through point P1, another point charge q¢=+6.60 mC passes through point P2 with a velocity
      v¢ = æ
      è       		-6.00 
      ^
      x
       
      		 +3.00 
      ^
      y
       
      		 +5.00 
      ^
      z
       
      		 ö
      ø       		 105 m/s
      Calculate the instantaneous magnetic force charge q exerts on charge q¢, Fq,q¢. Ignore the electric force.
      (c) Reverse the situation and calculate the instantaneous magnetic force which charge q¢ exerts on charge q, Fq¢,q. Again, ignore the electric force.
      (d) Does Newton's third law hold?
      (e) Compare the magnitude of either magnetic force with the magnitude of the electric force between the charges.
  2. Helix Problem: The purpose is to determine the position vector of a point charge which is traveling at an angle to the direction of a uniform magnetic field. The values for the field components and the initial conditions (assume at t=0) are:
    Ex=0
    Ey=0
    Ez=0
    Bx=0
    By=0
    Bz=0.800 T
    x(0)=0
    y(0)=0
    z(0)=0
    vox=0
    voy=4.33×105 m/s
    voz=2.50×105 m/s
    The values of the charge and its mass are
    q=+4.00 mC
    m=6.50×10-12 kg

      (a) Determine the instantaneous position coordinates x(t), y(t), z(t) of the charge by solving the differential equations given in class and applying the initial conditions. You should not have to do much more than I did in class.
      (b) Calculate the radius of the imaginary cylinder containing the helical path. This was set up for you in class.
      (c) Calculate the period, T, (one revolution around the cylinder).
      (d) Make a Maple plot over a time interval
      0 £ t £ 3T
      DON'T use the unit method which I used to get my plots. USE the ACTUAL values given. Since only three periods are being graphed, the scale numbers will be reasonable. Take a good look at the graph and make sure all initial conditions are obeyed.
  3. 5.4 Text
  4. 5.6 Text


File translated from TEX by TTH, version 3.85.
On 07 Dec 2009, 18:27.