Review. A slab of insulating material(infinite in the y and z directions)has a thickness d and a uniform pos-itive charge density p. An edge viewof the slab is shown in Figure P23.45.(a) Show that the magnitude of the electric field a dis-tance x from its center and inside the slab is E = px/e,.(b) What If? Suppose an electron of charge -e and massm, can move freely within the slab. It is released fromrest at a distance x from the center. Show that the elec-tron exhibits simple harmonic motion with a frequency1pem Eo Figure P23.45Problems 45 and 49.

Consider a Gaussian surface in the form of a pill box of length 2x Electric fields at the two ends…

Answered: Review. A slab of insulating material…

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 49PQ

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s of the 15.13 The Coaxial Cable. A long coaxial cable con- sists of an inner cylindrical conductor with radius a and an outer coaxial cylinder with inner radius b and outer eld also radius c. The outer cylinder is mounted on insulating supports and has no net charge. The inner cylinder has a uniform positive charge per unit length A. Calculate the electric field a) at any point between the cylinders, a distance r from the axis; b) at any point outside the outer cylinder. c) Graph the magnitude of the electric field as a function of the distance r from the axis of the cable, from r=0 to r = 2c. d) Find the charge per unit length on the inner surface and on the outer surface of -ntained by the can you %3D the outer cylinder.
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