- #1
thebert010
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Homework Statement
An electron (e) is to be released from rest on the central axis of a uniformly charged disk of radius R. The surface charge density on the disk is +3.50 µC/m2.
(a) What is the magnitude of the electron's initial acceleration if it is released at a distance R from the center of the disk?
(b) What is the magnitude if it is released at a distance R/100 from the center?
(c) What is the magnitude if it is released at a distance R/1000 from the center?
Homework Equations
[tex]
E(z,R)=\frac{\sigma}{2\epsilon_{0}}\left(1-\frac{z}{\sqrt{z^{2}+R^{2}}}\right)
[/tex]
The Attempt at a Solution
So I understand that the acceleration will increase slightly as I get closer to the disk. What I cannot figure out is exactly how R and Fractions of R affect the magnitude of the Electric field. I tried to assume that z=R which allowed me to say that for:
a) I showed that the R term turns into (1-(1/sqrt(2)))
Beyond that, I cannot figure out how to go about b) and c) and my online prof just keeps telling me to look at examples in the book...
Please help!
Thank You!