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When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field É = E,k, the resulting elec- tric potential is V(x, y, 2) = V, for points inside the sphere and E,a°z V(x, y, 2) = V – E,z + (x² + y² + z²)3/2 for points outside the sphere, where V, is the (constant) elec- tric potential on the conductor. Use this equation to deter- mine the x, y, and z components of the resulting electric field (a) inside the sphere and (b) outside the sphere.

When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field É = E,k, the resulting elec- tric potential is V(x, y, 2) = V, for points inside the sphere and E,a°z V(x, y, 2) = V – E,z + (x² + y² + z²)3/2 for points outside the sphere, where V, is the (constant) elec- tric potential on the conductor. Use this equation to deter- mine the x, y, and z components of the resulting electric field (a) inside the sphere and (b) outside the sphere.

College Physics
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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When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field É = E,k, the resulting elec- tric potential is V(x, y, 2) = V, for points inside the sphere and E,a°z V(x, y, 2) = V – E,z + (x² + y² + z²)3/2 for points outside the sphere, where V, is the (constant) elec- tric potential on the conductor. Use this equation to deter- mine the x, y, and z components of the resulting electric field (a) inside the sphere and (b) outside the sphere.
Transcribed Image Text:When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system that lies in an initially uniform electric field É = E,k, the resulting elec- tric potential is V(x, y, 2) = V, for points inside the sphere and E,a°z V(x, y, 2) = V – E,z + (x² + y² + z²)3/2 for points outside the sphere, where V, is the (constant) elec- tric potential on the conductor. Use this equation to deter- mine the x, y, and z components of the resulting electric field (a) inside the sphere and (b) outside the sphere.
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