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Consider a cylindrical distribution of charge whose base coincides with the plane z = 0 and axis on the z-axis. The cylindrical surface has a length L with radius rho and has a uniform charge distribution rho s C/m^2 on its surface. The aim is to determine the electric field intensity at a distance P(0, 0, h). Please draw the figure describing the problem.
A. Related to the problem, the electric field intensity of the z-axis of a ring of charge shown in pic 2 is in pic 1. How can we prove such equation?
B. Now, if you take a strip on the cylindrical surface in a form of a ring, a distance z from the origin with a differential height of dz, what is then the differential expression of electric field intensity ( dE ) at point P? Show the diagram for the extracted differential strip.
C. With the same problem, what is the expression of d rhoL?
D. With the same problem also, to find E vector at point P, we intergrate dE vector at (B) from z = 0 to z = L. What then is E vector?
E. Lastly for the same problem, what is E at h= 0, at h = L/2 and at h= L.
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Please finish D and E.
Please finish D and E.
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