Question

(24) In the image below, the negative charge is 3cm to the left of the positive charge +Q. The black dot is 3cm to the right of the charge. The electric potential energy between the charges is 30 u). +Q A. If the magnitude of the negative charge is 4x that of the positive charge, what is Q? B. What is the net electric field at the location of the black dot? C. What is the magnitude of the electrostatic force each charge exerts on the other?

Answer 1

Let us consider the diagram Q P A B o o3 m Here AB- BP = 0.02=3 en (a) Here ¿ ve eu les charge at B = a. fa, bet Curen the charge 4 times berger. me value of charge an -ha. ve J 9.92 Electrue polental energy of the septem is, v= 30 MI 30 x 10-6 So, electric polenlematical due to q, anda charge mi un to ax (4a) the gx10" x (0-03) repitude of the magnitude of polental only . Cordering [considering Va Зох (о с 9x100 x alia) 0-03 30x10-6 30x10 G Xo-03 9 X 109 40²2 30x 100 x 0-03 4x9x109 5x109 O,

The megnitude of the ave charge a a = 5x1o-ac The magnitude of the ove charge a -lea 4x 5 xong - 20x10-c 42 (B) Electric freld at p duo t . .P unfo 9x09x (Ap2² qq 204109 GIE. AB TBP)? (0-03 1803)2 E = Goooonie (twarde A) (-ve cherse) Electrie field at P due to Ben, al 29x102 x (302 - 5000 NLC (towards BP BP) EA and B are equal and opposite field at Pee EB 9x109 (0403)2 LITE no A EA - FB EA and EB are oppositely dureted 2 Soo oo — 5 оооо 0 Niel (Am) - This is not for field at po

(AB)? (C) from Coulomb's law, the force on each charge, 1 qa GTCO - axiogx (8x109) x (20x108) 0-03)? F NA) - This -This en the required force : As one charge is tve and aralhes one charge es -ve, is then fonce en attractive netur nature - lo-3
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