L30.2 Separation of variables - spherical polar coordinates - Example 3.8

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Example 3.8
An uncharged metal sphere of radius R is placed in an otherwise uniform electric field E = Eoz. [The field will push positive charge to the "northern'' surface of the sphere. leaving a negative charge on the "southern" surface (Fig. 3.24). This induced charge, in turn, distorts the field in the neighborhood of the sphere.] Find the potential in the region outside the sphere.
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In this video, we solve Example 3.8 from renowned physicist DJ Griffiths' Electrodynamics text. We tackle the intriguing scenario of an uncharged metal sphere placed within a uniform electric field. As we explore the implications of this setup, including the induced charge distribution and the resulting distortion of the electric field, we aim to elucidate the potential in the region exterior to the sphere. Join us as we employ separation of variables and spherical polar coordinates to unravel the intricacies of this fascinating electrodynamic problem.
"Electrodynamics example"
"Metal sphere in electric field"
"Uniform electric field"
"Induced charge distribution"
"Electric field distortion"
"Potential calculation"
"Separation of variables"
"Spherical polar coordinates"
"DJ Griffiths Electrodynamics"
"Electrodynamic problem solving"