15.8 An infinitely long cylindrical conductor'has radius R and uniform surface charge density o. a) In terms of o and R, what is the charge per unit length A for the cylinder? b) In terms of o, what is the magnitude of the electric field produced by the charged cylinder at a dis- tance r>R from its axis? c) Express the result of part (b) in terms of A and show that the electric field out- side 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 15.6 (Section 15.4).

15.8 An infinitely long cylindrical conductor'has radius R and uniform surface charge density o. a) In terms of o and R, what is the charge per unit length A for the cylinder? b) In terms of o, what is the magnitude of the electric field produced by the charged cylinder at a dis- tance r>R from its axis? c) Express the result of part (b) in terms of A and show that the electric field out- side 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 15.6 (Section 15.4).

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 48PQ

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