D3.6.In free space, let D= 8xyz*a, + 4x²z*a, + 16x?yz'a, pC/m?, (a) Find the total electric flux passthrough the rectangular surface z = 2,0 < x< 2,1 < y < 3, in the a, direction. (b) Find E at P(2,-1,(c) Find an the value of the total charge contained in an incremental sphere located at P(2, -1,3) ahaving of 10-12 m?.Ans. 1365 pC,-146.4a, + 146.4a, - 195.2a, V/m; -2.38 x 10-21 CChapter 3: Electric Flux Density. Gauss's Law, and DivergencePage 18Lecturer: Dr. Haydar Al-Tar

D3.6. In free space, let D = 8xyz'a, + 4x*z*a,y + 16x yz'a, pC/m?, (a) Find the total electric flux pass through the rectangular surface z = 2,0

D3.6. In free space, let D = 8xyz'a, + 4xza,y + 16x yz'a, pC/m?, (a) Find the total electric flux pass through the rectangular surface z = 2,0

Introductory Circuit Analysis (13th Edition)

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Publisher:Robert L. Boylestad

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Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.

Question

D3.6.
In free space, let D= 8xyz*a, + 4x²z*a, + 16x?yz'a, pC/m?, (a) Find the total electric flux pass
through the rectangular surface z = 2,0 < x< 2,1 < y < 3, in the a, direction. (b) Find E at P(2,-1,
(c) Find an the value of the total charge contained in an incremental sphere located at P(2, -1,3) a
having of 10-12 m?.
Ans. 1365 pC,-146.4a, + 146.4a, - 195.2a, V/m; -2.38 x 10-21 C
Chapter 3: Electric Flux Density. Gauss's Law, and Divergence
Page 18
Lecturer: Dr. Haydar Al-Tar

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