You have a summer job in the Exploratorium in San Francisco. Your team has been tasked to make an exhibit where a small charged pith ball is levitated above a large charged plate with a small circular opening in the middle. The pith ball is to be suspended about 5 cm above the center of the circular opening. After sufficient testing, you know that the plate could be roughly uniformly charged with 2.5 µC/m?. You measure 9.6 cm for the diameter of the circular opening and 0.20 grams for the mass of the pith ball. Find what the charge on the pith ball should be.

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
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Chapter23: Electric Forces
Section: Chapter Questions
Problem 51PQ: Four equally charged particles with charge q are placed at the comers of a square with side length...
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You have a summer job in the Exploratorium in San Francisco. Your team has been tasked to make an
exhibit where a small charged pith ball is levitated above a large charged plate with a small circular opening in
the middle. The pith ball is to be suspended about 5 cm above the center of the circular opening. After
sufficient testing, you know that the plate could be roughly uniformly charged with 2.5 µC/m?. You measure
9.6 cm for the diameter of the circular opening and 0.20 grams for the mass of the pith ball. Find what the
charge on the pith ball should be.
Transcribed Image Text:You have a summer job in the Exploratorium in San Francisco. Your team has been tasked to make an exhibit where a small charged pith ball is levitated above a large charged plate with a small circular opening in the middle. The pith ball is to be suspended about 5 cm above the center of the circular opening. After sufficient testing, you know that the plate could be roughly uniformly charged with 2.5 µC/m?. You measure 9.6 cm for the diameter of the circular opening and 0.20 grams for the mass of the pith ball. Find what the charge on the pith ball should be.
Expert Solution
Step 1

The electric field due to a plate is given by 

E =σ2εo

where, σ is the surface charge density. 

 

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