  Eo k, the resulting electric potential is V (x,y,z) = Vo for theWhen 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 Epoints inside the sphere andEoа3z(x2y223/2V (x,y,z) Vo - Eozfor points outside the sphere, where Vo 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 Eo.)(a) inside the sphereEx =Ey =Ez(b) outside the sphereExEy=Ez =

Question help_outlineImage TranscriptioncloseEo k, the resulting electric potential is V (x,y,z) = Vo for the 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 E points inside the sphere and Eoа3z (x2y223/2 V (x,y,z) Vo - Eoz for points outside the sphere, where Vo 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 Eo.) (a) inside the sphere Ex = Ey = Ez (b) outside the sphere Ex Ey = Ez = fullscreen
Step 1

The relation between the electric field E and the potential V in differential form is determined by,

Step 2

a)

Inside the sphere,

Given that the electric potential inside the uncharged conducting sphere lying in a uniform  Electric field is a constant,

Substitute Vo for V(x,y,z) in the above relation help_outlineImage TranscriptioncloseЕ. nside VV д i Ох j- +k а ду дz ду. .дV. о+k +j ду ди. дх дz 0 0 0 fullscreen
Step 3

The above calculation implies that inside the sphere, the individual components of the Electric fields wi... help_outlineImage Transcriptioncloseду. = 0 Е, х дх дт = 0 о Е. У ду ду, =0 о Е, дz fullscreen

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