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54.
Charge is distributed throughout a very long
cylindrical volume of radius R such that the charge density
increases with the distance r from the central axis of the
cylinder according to p= ar, where a is a constant.
Show that the field of this charge distribution is directed
radially with respect to the cylinder and that
.2
E =
ar
(r< R);
E =
(r > R).
3eor

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