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https://texercises.com/exercise/force-between-parallel-plates/
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Exercise:
Calculate the force between two parallel plates with an area of AO charges of pm QO and a distance of dO. What would be the result according to Coulomb’s law?

Solution:
Field produced by the first plate with charge density sigmaQ/A: E_ fracsigmavarepsilon_ fracQvarepsilon_ A Force acting on the second plate in the field of the first plate: F Q_ E_ QfracQvarepsilon_ A FF fracQ^timesncepstimes A F approx FP- Using Coulomb's law the force would be sscFC FCF nckctimesfracQ^d^ FC approx FCS This result is wrong by more than three orders of magnitude which is a clear sign that Coulomb's law is not applicable in this situation because the dimensions of the plates are much greater than the distance between them.
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Exercise:
Calculate the force between two parallel plates with an area of AO charges of pm QO and a distance of dO. What would be the result according to Coulomb’s law?

Solution:
Field produced by the first plate with charge density sigmaQ/A: E_ fracsigmavarepsilon_ fracQvarepsilon_ A Force acting on the second plate in the field of the first plate: F Q_ E_ QfracQvarepsilon_ A FF fracQ^timesncepstimes A F approx FP- Using Coulomb's law the force would be sscFC FCF nckctimesfracQ^d^ FC approx FCS This result is wrong by more than three orders of magnitude which is a clear sign that Coulomb's law is not applicable in this situation because the dimensions of the plates are much greater than the distance between them.
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Electrostatics
Tags
electric field, electrostatics, force, surface charge density
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Difficulty
(2, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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