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HW84_7 - Electromagnetics School of Electrical and Computer...

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Electromagnetics School of Electrical and Computer Engineering University of Tehran Homework 7 Fall Semester 1384 Due 84/9/30 Problem 1 In free space, the region b r a < 0 of the spherical coordinate system is filled by a homogeneous linear isotropic dielectric of susceptibility χ . A point charge q is located at the origin. Considering the symmetry of this configuration, guess the polarization vector and thus determine this vector in the region b r a . (Verify your guess by examining the constitutive relation and the boundary conditions.) Problem 2 Consider a grounded conducting sphere the radius of which is R . Assume that the conducting sphere is surrounded by a thin concentric spherical shell of electric charge. The radius of the shell is R 2 and its surface charge density is a constant of value S ρ [ C/m 2 ]. a) Determine the electric field everywhere in the space. b) Evaluate the electric potential in the regions R r R 2 < < and r R < 2 . c)

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HW84_7 - Electromagnetics School of Electrical and Computer...

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