A thin fixed ring of radius 'a' has a pos- itive charge 'q' uniformly distributed over it. A particle of mass 'm' and having a negative charge 'Q' is placed on the axis at a distance of x (x << a) from the centre of the ring. Show that the motion of the negatively charged particle is approximately simple harmonic. Calculate the time period of oscillation. dq Fig.
A thin fixed ring of radius 'a' has a pos- itive charge 'q' uniformly distributed over it. A particle of mass 'm' and having a negative charge 'Q' is placed on the axis at a distance of x (x << a) from the centre of the ring. Show that the motion of the negatively charged particle is approximately simple harmonic. Calculate the time period of oscillation. dq Fig.
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Transcribed Image Text:A thin fixed ring of radius 'a' has a pos-
itive charge 'q' uniformly distributed over it: A particle of
mass 'm' and having a negative charge 'Q' is placed on the
axis at a distance of x (x << a) from the centre of the ring.
Show that the motion of the negatively charged particle is
approximately simple harmonic. Calculate the time period
of oscillation.
+
B da
a
.0
+
Fig.
Y
dF
81
MA
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