QUESTION 3 (a) Given the electric field in free space as 2x(1 + z*) E 4xz a, +- -az. Find the amount of electric flux passing through the surface at z = 1, with Osxs 2, 0sys 3. (i) Obtain the volume charge density at point (3, 2, 1). (b) Consider a sphere of radius b with a uniform charge p C/m³. (i) Show that the electric flux density defined in the region of 0 b is given by GPoa, o b. (ii) Suppose that b = 2 m, calculate the volume charge density p, the electric flux Y leaving the sphere and the total charge Q contained in the sphere at 7 = 4 m.

Introductory Circuit Analysis (13th Edition)
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Publisher:Robert L. Boylestad
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QUESTION 3
(a)
Given the electric field in free space as
2x(1 + z*)
4xz
E = -
a
+
03
(i)
Find the amount of electric flux passing through the surface at z = 1, with
0sxs 2, 0sys3.
Obtain the volume charge density at point (3, 2, 1).
(b)
Consider a sphere of radius b with a uniform charge p C/m?.
Show that the electric flux density defined in the region of 0 <rsb and r>b is
given by
GPoa, 0<rsb.
D =
3r: Poa, r > b.
(ii)
Suppose that b = 2 m, calculate the volume charge density , the electric flux Y
leaving the sphere and the total charge Q contained in the sphere at r = 4 m.
Transcribed Image Text:QUESTION 3 (a) Given the electric field in free space as 2x(1 + z*) 4xz E = - a + 03 (i) Find the amount of electric flux passing through the surface at z = 1, with 0sxs 2, 0sys3. Obtain the volume charge density at point (3, 2, 1). (b) Consider a sphere of radius b with a uniform charge p C/m?. Show that the electric flux density defined in the region of 0 <rsb and r>b is given by GPoa, 0<rsb. D = 3r: Poa, r > b. (ii) Suppose that b = 2 m, calculate the volume charge density , the electric flux Y leaving the sphere and the total charge Q contained in the sphere at r = 4 m.
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