An infinite sheet with a charge density of o= 1.6 μC/m² is located in an empty space. We drill a circular hole of radius 12.7 m in the sheet. We place an electron at a distance of 83 m away from the sheet, right on the central axis of the circular hole. Right after we release the electron it begins to move toward the sheet. Find the velocity of the electron at the center of the hole of the sheet.
An infinite sheet with a charge density of o= 1.6 μC/m² is located in an empty space. We drill a circular hole of radius 12.7 m in the sheet. We place an electron at a distance of 83 m away from the sheet, right on the central axis of the circular hole. Right after we release the electron it begins to move toward the sheet. Find the velocity of the electron at the center of the hole of the sheet.
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Transcribed Image Text:An infinite sheet with a charge density of o = 1.6 μC/m² is located in an empty
space. We drill a circular hole of radius 12.7 m in the sheet. We place an electron
at a distance of 83 m away from the sheet, right on the central axis of the circular
hole. Right after we release the electron it begins to move toward the sheet. Find
the velocity of the electron at the center of the hole of the sheet.
If you do your classical calculation right, you will find that the speed of the elec-
tron, at the center of the circular hole, will surpass the speed of light. You need to
approach the problem in a way that will give you a velocity, at the center of the
circular hole, that doesn't exceed the speed of light.
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