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).

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Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 67P: Consider an electron that is 1010 m from an alpha particle (q=3.21019C) . (a) What is the electric...

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

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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 O TI

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