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Introductory Physics Homework Help
Oscillation of point charge due to electric field
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[QUOTE="sushichan, post: 5094412, member: 542740"] [h2]Homework Statement[/h2] [/B] 14. Two positive point charges of magnitude Q and 9Q are a distance [I]d[/I] apart, as shown in Figure 2.22 (image attached). [INDENT]a) Calculate the electric field strength at point P, a distance [I]d[/I]/4 from Q. [/INDENT] A third positive point charge is placed at P and is then displaced a bit to the right. [INDENT]b) Explain why the charge will perform oscillations when released. c) Are the oscillations simple harmonic? d) How does your answer to b) change if the third charge is negative? [/INDENT] 15. Consider again the previous problem. Suppose that the third positive charge placed at P has a magnitude [I]q[/I] and mass [I]m.[/I] It is displaced to the right of P by a [I]small[/I] amount [I]x[/I]. [INDENT]a) Find an expression for the net force on the charge [I]q[/I]. b) In mathematics it can be proved that if [I]x is small[/I] then (1+x)[SUP]-2[/SUP]≈1-2x. Use this approximation on the expression for the net force you found in a) to show that it is is approximately equal to F≈(-256kQq)x/(3d[SUP]3[/SUP]) where x is the displacement from point P. c) Hence determine the nature of the oscillations that will take place when the charge [I]q[/I] is released.[/INDENT] [h2]Homework Equations[/h2] E=kQ/r[SUP]2[/SUP] (electric field) [h2]The Attempt at a Solution[/h2] 14. a) I solved it, ans: 0 b) I was thinking that the force would try to place the charge into the equilibrium position (where electric field is 0). But I don't understand why it would oscillate. c) d) 15. [/QUOTE]
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Oscillation of point charge due to electric field
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