A long pipe of outer radius R₁ = 3.70 cm and inner radius R₂= 3.15 cm carries a uniform charge density of 3.22 mC/m³. Assuming that the pipe is sufficiently long to consider it infinitely long, use Gauss's law calculate the electric field E at a distance r = 7.77 cm from the centerline of the pipe. Use Ep = 8.85 x 10-12 C²/N-m² for the the permittivity of free space. E = N C Side view R₁ Top view r

A long pipe of outer radius R₁ = 3.70 cm and inner radius R₂= 3.15 cm carries a uniform charge density of 3.22 mC/m³. Assuming that the pipe is sufficiently long to consider it infinitely long, use Gauss's law calculate the electric field E at a distance r = 7.77 cm from the centerline of the pipe. Use Ep = 8.85 x 10-12 C²/N-m² for the the permittivity of free space. E = N C Side view R₁ Top view r

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter6: Gauss's Law

Section: Chapter Questions

Problem 69P: The surface charge density on a long straight metallic pipe is . What is the electric field outside...

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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

Please solve the given question

A long pipe of outer radius R₁ = 3.70 cm and inner radius
3.15 cm carries a uniform charge density of
3.22 mC/m³.
R₂
=
Assuming that the pipe is sufficiently long to consider it
infinitely long, use Gauss's law calculate the electric field E
at a distance r = 7.77 cm from the centerline of the pipe.
Use &0 =
free space.
8.85 x 10-12 C²/N-m² for the the permittivity of
E =
N
C
Side view
R₁
R.
Top view
r

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