Consider a cylindrical distribution of charge whose base plane z = 0 and axis on the z-axis. The cylindrical surface has a length L with radius p and has a uniform charge distribution P, c/m² on its surface. Aim: To determine the electric field intensity at a distance P(0, 0, h) A. Draw the figure B. The electric field intensity on the z-axis of a ring of charge for the figure shown below is: PLPA: E 3/2 2g ρ +z (0,0, z) 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. What is the expression of your d p, ? dE D. To find E at point P, integrate in (B) from z = 0 to z = L. What is E , E. What is E at h=0? At h=L/2 and at h=L?
Consider a cylindrical distribution of charge whose base plane z = 0 and axis on the z-axis. The cylindrical surface has a length L with radius p and has a uniform charge distribution P, c/m² on its surface. Aim: To determine the electric field intensity at a distance P(0, 0, h) A. Draw the figure B. The electric field intensity on the z-axis of a ring of charge for the figure shown below is: PLPA: E 3/2 2g ρ +z (0,0, z) 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. What is the expression of your d p, ? dE D. To find E at point P, integrate in (B) from z = 0 to z = L. What is E , E. What is E at h=0? At h=L/2 and at h=L?
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2. answer A B and C only completely
Transcribed Image Text:2) 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 p and has a uniform charge distribution p, c/m² on its surface.
Aim: To determine the electric field intensity at a distance P(0, 0, h)
A. Draw the figure
B. The electric field intensity on the z-axis of a ring of charge for the figure
shown below is:
E
3/2
2
+
°3;
(0, 0, z)
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. What is the expression of your d p, ?
E
dE
D. To find
at point P, integrate
in (B) from z = 0 to z = L. What is
?
E. What is E at h 0? At h= L/2 and at h= L?
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