Two charged particles A and B are located near one another. Both the magnitude a

Question

Two charged particles A and B are located near one another. Both the magnitude and direction of the force that particle A exerts on particle B is independent of A) the sign of charge B. B) the sign of charge A. C) the distance between A and B. D) the magnitude of the charge on B. E) The magnitude and direction of the force are dependent on all of the above choices. A charge Q exerts a 1.2 N force on another charge q. If the distance between the charges is doubled, what is the magnitude of the force exerted on Q by g? A) 0.30 N B) 0.60 N C) 2.4 N D) 3.6 N E) 4.8 N Three charges are positioned as indicated in the figure. What are the horizontal and vertical components of the net force exerted on the +15 mu C charge by the +11 mu C and +13 mu C charges?

Explanation / Answer

Force by 13 micro coulomb charge:

F1 = 9 x 109 x 13 x 10-6 x 15 x 10-6 / 0.0752 = 312 N

Force by 11 micro coulomb charge:

F2 = 9 x 109 x 15 x 10-6 x 11 x 10-6 /(0.0752 + 0.102) = 95.04 N

Horizontal component of force:

FH = 95.04 x cos(37°) = 75.90 N ~ 76 N

Vertical component of force:

FV = 95.04 x sin(37°) + 312 = 369.196 N ~ 370 N

Hence correct answer is option (e)

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