Question

01) (25 points) In the figure below, the three partides from a triangle of edge length 3.6m have same charges -0.20 a) in unit-vector notation, what net electric field do the particles produce at point P. (14 points) b) Find the total potential at point P. (8 points) c) How much work should be done to move a partide of charge +50 initially at rest from an infinite distance to point P. (3 points), assume V = 0 at x = 0 -0.20 3.6m -0.20 -0.20

Answer 1

The solution for this question is given below

a) at P = KIGA -0.2c (2/2) 3.6m =d &c - KQ d (-2) QA = 9B = 9 C = 9 Electric field (net), Enet = A + B + Ec Enet = klal î +k1q1 (-) + K19) (-2) (d/2) 2 (d2 (112) 2) (1/2)2 net - Klaj C-j) (9x109 (0.2) (7) d²-(1/2)2 - (8.6) 2 (3.6 72 0 Enet = 1.85X108 N/C (-J) ) bution Potential at P, Vtotal = VA + V₂ + Ve total - - K.QA & KQB Kqc 1/2 Jd2_(d/2)² 1/2 Vtotal - kq 1 dla todet vd 2-1d72J2) Vtotal = 9X109 (-0.2) (1 31 2 + 3 6/2 + 1 (36)2-(3²6/22) »V total = -1.08 x 10 9 V - Vp c) a = +58. Vo = 0 Wq' ( Vp - Vos) - +50 *(-1.08X109) W = -5-49X 109) J

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