Spring 2022 Homework Assignments
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.
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.