problem24_76

University Physics with Modern Physics with Mastering Physics (11th Edition)

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24.76: a) The force between the two parallel plates is: . 2 2 2 ) ( 2 2 2 2 0 0 2 2 2 2 0 0 2 0 2 0 z AV ε A ε V z A ε A ε CV A ε q ε qE F = = = = = = b) When , 0 = V the separation is just . 0 z So: . 0 4 2 2 2 ) ( 4 2 0 0 2 3 2 2 0 0 4 = + - = - = k AV ε z z z z AV ε z z k F springs c) For V, 120 and N/m, 25 m, 10 2 . 1 , m 300 . 0 3 0 2 = = × = = - V k z A mm. 1.014 mm, 537 . 0 0 m 10 82 . 3 m) 10 4 . 2 ( 2 3 10 2 3 3 = = × + × - - - z z z d) Stable equilibrium occurs if a slight displacement from equilibrium yields a force back toward the equilibrium point. If one evaluates the forces at small
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Unformatted text preview: displacements from the equilibrium positions above, the 1.014 mm separation is seen to be stable, but not the 0.537 mm separation....
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This document was uploaded on 04/20/2008.

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