(21.68) Two identical spheres with mass m are hung from silk threads of length L, as shown below. Each sphere has the same charge, so q1 = q2 = q. The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle 0 is small, the equilibrium 2k q² L |1/3 d = mg separation d between the spheres is 0z sin 0) (hint: if 0 is small, then tan

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter23: Electric Fields
Section: Chapter Questions
Problem 23.66AP: Two small silver spheres, each with a mass of 10.0 g, are separated by 1.00 m. Calculate the...
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5. (21.68) Two identical spheres with mass m are hung from silk threads of length L,
as shown below. Each sphere has the same charge, so q1 = q2 = q. The radius of
each sphere is very small compared to the distance between the spheres, so they
may be treated as point charges. Show that if the angle 0 is small, the equilibrium
2k q² L
|1/3
d =
mg
separation d between the spheres is
0- sin 0)
(hint: if 0 is small, then tan
L
mass m
mass m
charge qi
charge q2
Transcribed Image Text:5. (21.68) Two identical spheres with mass m are hung from silk threads of length L, as shown below. Each sphere has the same charge, so q1 = q2 = q. The radius of each sphere is very small compared to the distance between the spheres, so they may be treated as point charges. Show that if the angle 0 is small, the equilibrium 2k q² L |1/3 d = mg separation d between the spheres is 0- sin 0) (hint: if 0 is small, then tan L mass m mass m charge qi charge q2
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