{{page>wiki:headers:hheader}} ===== Homework for Static Fields ===== - (GaussLaw) \textit{This problem is a straightforward follow-up to the Gauss's Law activity. Part (b) can be included as an introduction to the concept and usefulness of theta functions.}{{page>homework:ph320422questions:gausslaw}} - {{page>homework:ph320422questions:gausslawa}} - {{page>homework:ph320422questions:gausslawb}} - {{page>homework:ph320422questions:gausslawc}} - {{page>homework:ph320422questions:gausslawd}} - (GaussLawLimit) \textit{Take the limit in the previous problem so that the cylindrical shell becomes infinitely thin. The results of this problem can be used as a nice introduction to electrostatic boundary conditions. (See Unit [[..:#unitboundary_conditions|Boundary Conditions]]). Part (b) can be used as an introduction to the concept and usefulness of delta functions.}{{page>homework:ph320422questions:gausslawlimit}} - {{page>homework:ph320422questions:gausslawlimita}} - {{page>homework:ph320422questions:gausslawlimitb}} - {{page>homework:ph320422questions:gausslawlimitc}} - {{page>homework:ph320422questions:gausslawlimitd}} - {{page>homework:ph320422questions:gausslawlimite}} - (GaussLawLimitChallenge--Challenge) \textit{In this challenging problem you take the limit of previous problem as the shell shrinks to a point source. This problem should probably be reserved for advanced students.}{{page>homework:ph320422questions:gausslawlimitchallenge}} - {{page>homework:ph320422questions:gausslawlimitchallengea}} - {{page>homework:ph320422questions:gausslawlimitchallengeb}} - {{page>homework:ph320422questions:gausslawlimitchallengec}} - (Symmetry) {{page>homework:ph320422questions:symmetry}} - {{page>homework:ph320422questions:symmetrya}} - {{page>homework:ph320422questions:symmetryb}} - {{page>homework:ph320422questions:symmetryc}} - {{page>homework:ph320422questions:symmetryd}} {{page>wiki:footers:courses:vffooter}}