Due in class, Friday October 16
Field of a charged ring.
A ring shaped conductor with radius a carries a total charge Q uniformly
distributed around it, see figure. Find the electric field at a point, P, that
lies on the axis of the ring at a distance x from its center. Show that for
, the magnitude of the field increases linearly with x and that for
, the field is the same as that of a point charge Q located at the
center of the ring. Sketch the magnitude of the electric field as a function of
Field of a uniformly charged sphere.
Positive electric charge Q is uniformly distributed throughout the volume of
an insulating sphere of
radius R. What is the direction of the electric field? Find the magnitude
of the electric field at a point P a distance r from the center, both for
r < R and r > R. Show that for r > R, the field
is the same as if all the charge were concentrated at the center of the sphere.
Hint: Use Gauss' theorem.
Young and Freedman
23-5, 23-6, 23-15, 23-28, 23-44
Main Page for Physics 5C
Thu Oct 2 21:32:53 PDT 1997