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42 In Fig. 21-38, two tiny conducting balls of identical mass m and identical charge q...

Question:

42 In Fig. 21-38, two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that θ is so small that tan 0 can be replaced by its approximate equal, sin θ (a) Show that gives the equilibrium separation x of the balls. (b) If L = 120 cm, m = 10 g, and x = 5.0 cm, what is igl? Scanned by CamScan
42 In Fig. 21-38, two tiny conducting balls of identical mass m and identical charge q hang from nonconducting threads of length L. Assume that θ is so small that tan 0 can be replaced by its approximate equal, sin θ (a) Show that gives the equilibrium separation x of the balls. (b) If L = 120 cm, m = 10 g, and x = 5.0 cm, what is igl? Scanned by CamScan

Answers

When the chargesare in equilibrium, the resultant of the forces in the horizontal and verticaldirections must separately balance each other the total force a long horizantal direction....let ussay x - direction on each point charge 0-30° the total forcealong vertical direction on each charge..let ussay y - direction on each point charge given cos0 here Tis the tension on the threads coloumb constantk- x/2 the seperation between thecharges-x-2 Ltan θ ; | f0r θ << 1 ;sinθ-tanθ -41-x -cost).mngtanf sın(0 from (1); F -Tsin (e)-mg 4πε, XL 0 mg 2L 4τε 2L Lq 2πε0mg b)and thecharge on each mass-q substituting all the know values gives the chargeon each mass q q-2.383e-08C

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