Unformatted text preview: z positive, let ρ υ = 40 xyz C/m 3 . Find the total charge within the region defined by: (a) 0 ≤ x,y,z ≤ 2; (b) x = 0, y = 0, 0 ≤ 2 x + 3 y ≤ 10, 0 ≤ z ≤ 2. 6. Volume charge density within the operating region of a parallelplate vacuum diode is given by = − ( 4 9 ) ∈ V d − 4 3 x − 2 3 , where the cathode is located at x = 0 and the anode at x = d . The voltage between anode and cathode is V . If the total charge in a 1m 2 cross section is 20 nC and: (a) d = 8 mm, find V ; (b) V = 24 V, find d . (c) If d = 8 mm and V = 24 V, sketch vs. x . 7. That portion of the z axis for which 2 < z < 2 m carries a nonuniform charge density of z 2 + 1 nC/m in free space. There are no other charges anywhere. Find E at: (a) P A (1,0,0); (b) P B (2,0,0)....
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 Spring '11
 RayChen
 Electromagnet, Electric charge, Fundamental physics concepts, Cathode, Anode, free space

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