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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Need help for electromagnetic theory question:
E(r) [electric field] inside a spherical shell of radius R that carries uniform surface charge density is zero. Make an arguement based on pairing off elements of the charge distribution that confirms this result for r (vector) = 0 (the center of shell). PLEASE do include a sketch of the arguement showing that every arrow representing electric field on the shell is an equal-length arrow and how these pairs cancel each other out when added, resulting in a net electric field of zero.
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- A long non-conducting cylindrical wire of radius a stores a total charge Q₁ and is surrounded by a hollow, concentric conducting cylindrical shell or length L, inner radius b and outer radius c. The conducting cylindrical shell stores a total charge -30. See Figure. Using Gauss's law, write an equation for the electric field as a function of r (E(r)) inside the non-conducting cylinder (r< a). (When applying Gauss's Law, show derivation and the Gaussian surface, supporting your solution with geometrical reasoning.) Inner non-conducting b C + Outer conducting, solid cylinder of total charge -3Qarrow_forwardR OI A very thin spherical plastic shell of radius R = 18 cm carries a uniformly distributed negative charge of Q = -8 nC on its outer surface. An uncharged solid metal block is placed nearby. The block is w = 9 cm thick and is 9 cm away from the surface of the sphere. Calculate the magnitude of the elec- tric field at the exact center of the conductor generated only by the polarization of the con- ductor. In other words, do not include the electric field generated by the sphere. Answer in units of N/C.arrow_forwardQI: A circle of radius R at a distance b from a particle with positive charge Q which is located on the axis of the plane cf the circle. Show that if one-fourth of the clectric flux from the charge passes through the circle, then R = v3b.arrow_forward
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