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EE1 HW 3 Sol

# EE1 HW 3 Sol - EE1 Homework Solutions#3 r ^ 1 In...

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EE1 - Homework Solutions #3 1) In cylindrical coordinates, let D = ( r ˆ r + z ˆ z ) / [4 π ( r 2 + z 2 ) 3 2 ]. Determine the total flux leaving: a) The infinitely-long cylindrical surface r = 7. b) The finite cylinder, r = 7 , | z | ≤ 10. 1

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4) In spherical coordinates, E = 2 R/ ( R 2 + a 2 ) 2 ˆ R V/m. Find the poten- tial at any point, using the reference: 4
5) A certain potential field is given in spherical coordinates by V = V 0 ( R/a ) sinθ . Find the total charge contained within the region R < a . 5

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6) What is a dielectric material said to be if the direction of the electric polarization field, P , is in the same direction of the electric field intensity,
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