cceleration near the surface of Earth mple, µC means micro coulomb.
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Solve c. Please provide correct answer.
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10°N · m²/c². Vacuum permitivity,
€n = 8.854 x 10-12F/m. Magnitude of the Charge of one electron, e = - 1.60217662 × 10 ¯19 C. Mass of one electron,
m, = 9.10938356 × 10-31 kg. The gravitational acceleration near the surface of Earth g = 9.8 m/s². Unless specified otherwise,
each symbol carries their usual meaning. For example, µC means micro coulomb .
ceiling
L
step 1: Two small identically charged conducting spheres 1 and 2 of equal mass are hung from a fixed support with non conducting
threads of equal length as shown in the figure. Both the spheres have equal mass m, = m2 = m and equal charge q1 = 92 = q.
Assume that the charge of each sphere is q = 28 nC , the length of the thread is L = 234 cm and the horizontal separation is
X = 17 cm.
The x and y directions are shown in the figure. You have the liberty to choose any point
as the origin of your coordinate system. (Hint: You may find it convenient to choose q, or q2 as the origin of your coordinate
system.)
step 2: Now, say we discharge sphere 2, without changing any other variables. Discharging means that the new charge of the sphere
2 is q, = 0. Explain what will happen in your script and answer the followings:
c) What will be the new separation of the spheres after they reach equilibrium from step 2. Hint: Use small angle approximation.
equilibrium separation
Give your answer to at least three significance digits.
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