• Homework 1: (Due Thursday, March 3)   

  
  A point charge Q is placed at the center of a sphere with radius R and permittivity ε, which leads to 
  the polarization of the sphere. The sphere is now spun around an axis (which you can take as the z-direction).
  Find the magnetic field at all points in space. 
  
  

• Homework 2: (Due Monday, April 11)

  Consider a metallic rectangular cavity with dimensions 1cm x 2cm x 3cm. 
  
    (a) What is the lowest frequency mode?
  
  Find the following quantities in terms of the magnitude of the field in the z-direction 
  (corresponding to the largest dimension).
  
    (b) All fields in the structure.
  
    (c) The currents on the 6 surfaces.
  
    (d) The energy stored in the geometry.
  
    (e) The energy loss (and hence the Q of the cavity) if
  
        o the cavity is made of copper
        o the cavity is made of silver
  
  

Each homework is to be placed as a single PDF document (which may contain photos of your work) and submitted through moodle.
Please name the file in the format:

Check the Stars system for your homework grade. In some cases, you may be able to re-submit your homework to the assistant with corrections and improve your grade.