Physics 308 Homework
RU Links
  Radford University
  Department of Physics
  RU Planetarium
  RUSMART pages (weather)

Spring 2014 Classes & Info
  PHYS 308
  PHYS 309
  PHYS 450
  My daily schedule
  My C.V.

Summer jobs/internships
  NSF REU Program (list of REU sites)

Other links
  The Nucleus (resources for
   physics/astronomy undergrads)
  Pre-Health information
  R.U.F.R.E.E.Z.I.N.G.
   pics from the north pole trip
   the picture from the trip
  Simple 2-liter water rocket
  American Institute of Physics

Homework #12: Do not turn these in since there is a test next week (Friday, April 25).

  1. Here is a vector with its x-, y- and z-components: A={x3z, y2sin(kx), z^3}. Calculate (a) (A), and (b) (-)∇2A. Show all of your steps--no shortcuts.
  2. Here is a set of Maxwell-like equations:
       xK=-a(∂L/∂t)
       xL= b(∂K/∂t)
       K=0
       L=0
       (a) Derive the wave equation for K.
       (b) Derive the wave equation for L.
       (c) Find the wave speed for these fields in terms of the constants 'a' and 'b.'
  3. (a) Evaluate eiπ/8 in terms of its real an imaginary ports. (b) Write i1/6 using an exponential.
  4. Here is an electric field traveling in free space: E=zE0ei(ky+ωt) where z is the unit vector in the z-direction.
    1. Draw this electric field as it travels.
    2. Find the magnetic field B associated with this electric field.
    3. The frequency of this wave is f=100MHz. Find the wavenumber 'k' associated with this wave.
  5. Here is a magnetic field traveling in free space: B=xB0ei(kz+ωt) where x is the unit vector in the x direction.
    1. Draw this magnetic field as it travels.
    2. Find the electric field E associated with this magnetic field.
   That's all for homework #12.