In a region in free space, electric flux density is found to be Everywhere else, D =

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In a region in free space, electric flux density is found to be

(-2d < z < 0) Po(z + 2d) a. C/m? |-pocz – 2d) a: C/m2 (0 <z< 2d)


Everywhere else, D = 0.

(a) Using ˆ‡ · D = ρv, find the volume charge density as a function of position everywhere.

(b) Determine the electric flux that passes through the surface defined by z = 0, ˆ’a ‰¤ x ‰¤ a, ˆ’b ‰¤ y ‰¤ b.

(c) Determine the total charge contained within the region ˆ’a ‰¤ x ‰¤ a, ˆ’b ‰¤ y ‰¤ b, ˆ’d ‰¤ z ‰¤ d.

(d) Determine the total charge contained within the region ˆ’a ‰¤ x ‰¤ a, ˆ’b ‰¤ y ‰¤ b, 0 ‰¤ z ‰¤ 2d.

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Engineering Electromagnetics

ISBN: 978-0073380667

8th edition

Authors: William H. Hayt, John A.Buck

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