Solution Found!
An infinitely long cylindrical conductor has radius R and
Chapter 22, Problem 31E(choose chapter or problem)
An infinitely long cylindrical conductor has radius and uniform surface charge density
. (a) In terms of
and
, what is the charge per unit length
for the cylinder? (b) In terms of
, what is the magnitude of the electric field produced by the charged cylinder at a distance
from its axis? (c) Express the result of part (b) in terms of
and show that the electric field outside the cylinder is the same as if all the charge were on the axis. Compare your result to the result for a line of charge in Example 22.6 (Section 22.4)
Questions & Answers
QUESTION:
An infinitely long cylindrical conductor has radius and uniform surface charge density
. (a) In terms of
and
, what is the charge per unit length
for the cylinder? (b) In terms of
, what is the magnitude of the electric field produced by the charged cylinder at a distance
from its axis? (c) Express the result of part (b) in terms of
and show that the electric field outside the cylinder is the same as if all the charge were on the axis. Compare your result to the result for a line of charge in Example 22.6 (Section 22.4)
ANSWER:
Solution 31E
Step 1
