Corrected exercises Electrostatic field

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Solution : Study of a spherical inhomogeneous distribution - Corrected Exercises Gauss Theorem

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∎ Return to the exercise 1. Expression of the electrostatic field.   All the planes containing the center O of the sphere and the point P are the load distribution of planes of symmetry. The electric field must belong simultaneously to all of these plans, it is therefore carried by their intersection which is the line OM.  we obtain.: As this distribution has a rotational invariance around the point O, the electric field does not depend on the angular variables. This result does not depend on the position of this point P. We choose a Gaussian surface centered in O and radius r. The Gauss theorem is: Then there are two regions of space: ● For r <R (one can put an equal sign here because the density distribution is what ensures the continuity of the normal component (here radial) of the electrostatic field). For the domestic load: Is obtained by applying the Gauss theorem: ...
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TRADITIONAL INDUSTRIAL ARTS DESIGN - PRACTICAL METHODS FOR STUDENTS, TEACHERS, AND CRAFTSMEN - BY WILLIAM H. VARNUM 1916

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CONTENTS CHAPTER PAGE I. Divisions of Industrial Arts Design 7 II. The Primary Mass and Its Proportions 13 III. Horizontal Major Divisions of the Primary Mass 19 IV. Vertical Major Divisions of the Primary Mass 33 V. Appendages and the Rules Governing Them 43 VI. Enrichment of the Contours or Outlines of Designs in Wood 57 VII. Enrichment of the Contours or Outlines of Designs in Clay 77 VIII. Enrichment of the Contours or Outlines of Designs in Base and Precious Metals 87 IX. Surface Enrichment of Small Primary Masses in Wood 99 X. Surface Enrichment of Small Primary Masses in Wood. (Continued) 117 XI. Surface Enrichment with Minor Subdivisions of Lar...
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