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\begin{figure}\centerline{ \psfig{file=problems/prob_2_1.eps,height=2.5in} }\end{figure}

A half-ring of total charge $Q$ and radius $R$ sits symmetrically across the $x$-axis around the origin as shown in the figure above.

  1. Find the electric field at the origin (magnitude and direction) from direct integration.
  2. What is the electric potential at the origin?

Robert G. Brown 2003-02-09