Answered: 4.30 In a certain region, the electric… | bartleby

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Question about the item c of Chapter 4, Problem 30P – Sadiku's Elements of Electromagnetics 7th Edition – please refer to the first image for the problem.

Question: why does the net flux doesn't vary in z, i.e why don't we sum dz the flux in dz as well?

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4.30 In a certain region, the electric field is given by
D = 2p(z + 1)cos o a, – p(z + 1)sin o a, + p² cos o a̟ HC/m?
(a) Find the charge density.
(b) Calculate the total charge enclosed by the volume 0 <p< 2, 0< ¢ < n/2,
0<z< 4.
(c) Confirm Gauss's law by finding the net flux through the surface of the volume in (b).

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