Question
The question I need to be answered is 3.4.2 but it references the other two. I am working on 3.4.4 as well so if you
The question I need to be answered is 3.4.2 but it references the other two. I am working on 3.4.4 as well so if you could do that one as well I would appreciate it so I can check my work please and thank you!
3.2.4. A ring of charge of radius a has a linear charge density of l C/m that is uniformly distributed around the ring. Determine the electric field at a distance d along a line perpendicular to the ring and centered on it. Evaluate this result for a distance much greater than the radius of the ring. This result at a large distance away should be reduced to that for a point charge. Why?
3.2.5. Determine the electric field of a disk of charge of radius a having a uniform charge distribution of C/m3 over its surface at a distance d away from its center and on a line through its axis. You will need the integral r/(d2 - r2)3/2dr = -1/(d2 - r2) Evaluate this area, at a distance much larger than the radius of the disk. This result at a large distance should be reduced to that for a point charge. Why? [E = s/20[1 - d/(d2 - a2)az, E = a2 s/40d2az da. At large distances away, the disk of charge can be thought of as a point charge equal to the total charge contained in the disk: Q = as]
3.4.2. For the problem of a ring of charge in Problem 3.2.4 and the disk of charge in Problem 3.2.5, can Gauss' law be used to determine the electric field at a distance from the center and on a line perpendicular to the ring or disk? If not, why not?
3.4.4. A volume charge density = k/r C/m3 exists in a spherical region a r = b. Determine the electric field intensity vector.
[Er = k(b2 - a2)/20r2 for r b, Er = 0 for r 5a, Er = k/20,(1 - a2/r2) for a r b]
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