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 = E0 , the resulting electric potential is V (x,y,z) = V0 for the points inside the sphere and V (x,y,z) = V0 − E0z + E0a3z (x2 + y2 + z2)3/2 for points outside the sphere, where V0 is the (constant) electric potential on the conductor. Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and E0.) (a) inside the sphere (b) outside the sphere Note: I already solved part a. I need help with part b. Look at the image for the full problem
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 = E0 , the resulting electric potential is V (x,y,z) = V0 for the points inside the sphere and V (x,y,z) = V0 − E0z + E0a3z (x2 + y2 + z2)3/2 for points outside the sphere, where V0 is the (constant) electric potential on the conductor. Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and E0.) (a) inside the sphere (b) outside the sphere Note: I already solved part a. I need help with part b. Look at the image for the full problem
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter25: Electric Potential
Section: Chapter Questions
Problem 25.13OQ: A filament running along the x axis from the origin to x = 80.0 cm carries electric charge with...
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When an uncharged
V (x,y,z) = V0 − E0z +
E0a3z |
(x2 + y2 + z2)3/2 |
for points outside the sphere, where V0 is the (constant) electric potential on the conductor.
Use this equation to determine the x, y, and z components of the resulting electric field in the following regions. (Use the following as necessary: x, y, z, a, and E0.)
(a) inside the sphere
(b) outside the sphere
Note: I already solved part a. I need help with part b. Look at the image for the full problem.
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