See the figure. A circular ring of charge (total charge = Q and radius = a) is l
ID: 2053525 • Letter: S
Question
See the figure. A circular ring of charge (total charge = Q and radius = a) is located on the xy-plane centered at the origin.
(A) Determine the electric potential at a point (0, 0, r), i.e., on the z-axis at z = r.
(B) Determine the electric potential at a point (r, 0, 0), i.e., on the x-axis at x = r. Leave the answer in terms of an integral, but simplify the integral so that you can calculate its numerical values.
(C) Make a graph that shows both V(0,0,r)/V(0,0,0) and V(r,0,0)/V(0,0,0) versus r. Use graph paper to plot the points accurately, for a = 1.0 m and 0 r 3 m. You will need to use a computer to calculate the potential on the x-axis. E.g., you could use Wolfram Alpha or any other software.
Explanation / Answer
For part (A) you know V=kQ/R You can determine R using the pythagorean theorem: R=sqrt[a^2+r^2] So the potential, V, equals: V=kQ/sqrt[a^2+r^2] Im in class. Send me a msg at: caseycontacts [at] gmail [dot] com