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# SE_03 - Electromagnetics School of Electrical and Computer...

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Electromagnetics School of Electrical and Computer Engineering University of Tehran Supplementary Exercises 3 Fall Semester 1384 Problem 1 In free space, electric dipoles are uniformly distributed in the region a r 0 , π ϕ 2 0 , h z of the cylindrical coordinate system. The polarization vector in this region is given by z P P o ˆ = r where o P is a known constant. (Note that this distribution can be realized with the help of a cylindrical electret.) a) Determine E r and D r along the z -axis. b) Plot qualitatively the E r and D r field lines for a ϕ -constant plane. Problem 2 (Griffiths: Problem 2.36) Consider a spherical conductor of radius R as shown in the following figure. Inside the conducting sphere, there are two spherical cavities of radius 1 R and 2 R . Two point charges 1 q and 2 q are placed in the center of the cavities. a) Find the surface charges on all surfaces. b) Find the field outside the conductor.

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SE_03 - Electromagnetics School of Electrical and Computer...

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