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Exercise:
Two pula consist of styrofoam balls coated with aluminium susped from light threads with the same suspension po see figure. The threads are lO long and the balls each have a mass of mO and carry the same negative charge. As a consequence of the repulsive force the two pula are deflected. Once they have reached the equilibrium position the distance is dO. Calculate the charge on each ball. center includegraphicswidth.textwidth#image_path:zwei-pel-# center

Solution:
Giv ell lO l m mO m d dO d GesChargeQsiC % In the equlibrium the three forces acting on the pulum ball gravitational force electrostatic force and string force add up to zero. % center includegraphicswidth.textwidth#image_path:pel-krafte# center % The triangles shaded in blue in the figure are similar. It follows: % fracsscFCsscFG fracfracdh fracfrac pi sscepsilon sscepsilonr fracQ^d^m g fracfracdsqrtell^-fracd^ fracQ^ pi sscepsilon sscepsilonr m g d^ fracdsqrt ell^ - d^ Q QPF Q sqrtfrac pi EZ ER m ge d^sqrt l^ - d^ % SolQ QP &approx QPP-
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Exercise:
Two pula consist of styrofoam balls coated with aluminium susped from light threads with the same suspension po see figure. The threads are lO long and the balls each have a mass of mO and carry the same negative charge. As a consequence of the repulsive force the two pula are deflected. Once they have reached the equilibrium position the distance is dO. Calculate the charge on each ball. center includegraphicswidth.textwidth#image_path:zwei-pel-# center

Solution:
Giv ell lO l m mO m d dO d GesChargeQsiC % In the equlibrium the three forces acting on the pulum ball gravitational force electrostatic force and string force add up to zero. % center includegraphicswidth.textwidth#image_path:pel-krafte# center % The triangles shaded in blue in the figure are similar. It follows: % fracsscFCsscFG fracfracdh fracfrac pi sscepsilon sscepsilonr fracQ^d^m g fracfracdsqrtell^-fracd^ fracQ^ pi sscepsilon sscepsilonr m g d^ fracdsqrt ell^ - d^ Q QPF Q sqrtfrac pi EZ ER m ge d^sqrt l^ - d^ % SolQ QP &approx QPP-
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Attributes & Decorations
Branches
Electrostatics
Tags
coulomb law, gravitation
Difficulty
(3, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Decoration
Content image