Determine the initial acceleration of the dust particle. A dust particle has an excess charge of 4.0 × 106 electrons and amass of 5.0 × 10-8 g. It is initially held at d = 1.0 × 10-³ mdirectly above a fixed object of the same size that is charged withthe same number of electrons. Both objects are in an evacuatedcontainer.

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Answered: A dust particle has an excess charge of…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter26: Electric Potential

Section26.3: Electric Potential Energy

Problem 26.2CE

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Suppose a speck of dust in an electrostatic precipitator has 1.00001012 protons in it and has a net charge of 5.00 nC (a very large charge for a small speck). How many electrons does it have?
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Three identical conducting spheres are fixed along a single line. The middle sphere is equidistant from the other two so that the center-to-center distance between the middle sphere and either of the other two is 0.125 m. Initially, only the middle sphere is charged, with qmiddle = +35.6 nC. The middle sphere is later connected by a conducting wire to the sphere on the left. The wire is removed and then used to connect the middle sphere to the sphere on the right. The wire is again removed. a. C What is the charge on each sphere? b. C Which sphere experiences the greatest electrostatic force? c. N What is the magnitude of that force?
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A spherical balloon contains a positively charged particle at its center. As the balloon is inflated to a larger volume while the charged particle remains at the center, which of the following are true? (a) The electric potential at the surface of the balloon increases. (b) The magnitude of the electric field at the surface of the balloon increases. (c) The electric flux through the balloon remains the same. (d) None of these.
A proton is located at the origin, and a second proton is located on the x-axis at x = 6.00 fm (1 fm = 10-15 m). (a) Calculate the electric potential energy associated with this configuration. (b) An alpha particle (charge = 2e, mass = 6.64 1027 kg) is now placed at (x, y) = (3.00, 3.00) fm. Calculate the electric potential energy associated with this configuration. (c) Starting with the three-particle system, find the change in electric potential energy if the alpha particle is allowed to escape to infinity while the two protons remain fixed in place. (Throughout, neglect any radiation effects.) (d) Use conservation of energy to calculate the speed of the alpha particle at infinity. (e) If the two protons are released from rest and the alpha panicle remains fixed, calculate the speed of the protons at infinity.
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A dust particle has an excess charge of 4.0 × 106 electrons and a mass of 5.0 × 10-8 g. It is initially held at d = 1.0 × 10-³ m directly above a fixed object of the same size that is charged with the same number of electrons. Both objects are in an evacuated container.