2-аxis х-ахis Problem 4: A point charge of Q = 45 µC is located at the origin. A hollow cylinder of radius R= 15 cm and height H= 17 cm is concentric with the z-axis with one end at z = 0. Refer to the figure. The x-axis points out of the screen. H R у-ахis Part (a) Consider an arbitrary point on the cylindrical surface at height z. Enter an expression for the component of the electric field perpendicular to the surface at that point. Give your answer in terms of R, z, Q, and the Coulomb constant k. E = Part (b) Imagine breaking up the cylindrical surface by slicing it horizontally into infinitesimal rings, each of width dz. Consider such a ring located at height z above the x-y plane. Enter an expression for the differential of the electric flux through the ring in terms of defined quantities. dp = Part (c) Integrate the electric flux over the height of the cylinder (from z = 0 to z = H) and enter an expression for the electric flux through the cylindrical surface in terms of defined quantities.

2-аxis х-ахis Problem 4: A point charge of Q = 45 µC is located at the origin. A hollow cylinder of radius R= 15 cm and height H= 17 cm is concentric with the z-axis with one end at z = 0. Refer to the figure. The x-axis points out of the screen. H R у-ахis Part (a) Consider an arbitrary point on the cylindrical surface at height z. Enter an expression for the component of the electric field perpendicular to the surface at that point. Give your answer in terms of R, z, Q, and the Coulomb constant k. E = Part (b) Imagine breaking up the cylindrical surface by slicing it horizontally into infinitesimal rings, each of width dz. Consider such a ring located at height z above the x-y plane. Enter an expression for the differential of the electric flux through the ring in terms of defined quantities. dp = Part (c) Integrate the electric flux over the height of the cylinder (from z = 0 to z = H) and enter an expression for the electric flux through the cylindrical surface in terms of defined quantities.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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