A cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric flux through the cylinder due to this line of charge? ii. What is the flux through the cylinder if its radius increased to r = 0.32m? iii. What is the electric field intensity at radius r = 0.32m and l = 0.6m?

A cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m. i. What is the electric flux through the cylinder due to this line of charge? ii. What is the flux through the cylinder if its radius increased to r = 0.32m? iii. What is the electric field intensity at radius r = 0.32m and l = 0.6m?

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 7PQ: A positively charged sphere and a negatively charged sphere are in a sealed container. The only way...

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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

A cylinder with radius r = 0.75m and length l = 0.6m that has an infinite line of positive charge running along its axis. The charge per unit length in the line is 7µc/m.

i. What is the electric flux through the cylinder due to this line of

charge?

ii. What is the flux through the cylinder if its radius increased to r =

0.32m?

iii. What is the electric field intensity at radius r = 0.32m and l =

0.6m?

iv. What is the flux through the cylinder if its length increased to l=0.8m?

v. What is the electric field intensity at radius r= 0.32 and l=0.8m?

vi. Briefly explain the effect of an increase or decrease of radius and length on the electric field intensity.

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