anonymous
  • anonymous
Can anyone explain how the system of an electron placed outside of a ring of charge undergoes simple harmonic motion? I am asked to setup a SHM differential equation for a system that looks like this: http://people.rit.edu/agysps/courses/313_071web/class_wksheets/INTring_low.gif where P is an electron.
Physics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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anonymous
  • anonymous
if an electron is placed along the axis of a positively charged ring, u can see the equation of the force acting on it is directly proportional to x, the distance from the ring, after neglecting certain values.
anonymous
  • anonymous
F= -kpq(x)/\[(R^{2} + x^{2})^{3/2}\]
anonymous
  • anonymous
if R>>x we get F= \[-kpq (x) / R^3\]

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anonymous
  • anonymous
a = -kpx/mr^3
anonymous
  • anonymous
\[d ^{2}x/dt^{2}\] = -(kpq / R^3)(x)
anonymous
  • anonymous
?

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