Question

14 Encuentre fuerza (vector) entre Q1 45,UC r1( x1#1, yl 2. z1-3) y 02-59 uC 12(x2-3, y2-3, 22-1) A) .97İ49-98k B) 1.76i 88j-1.77k C) .97 .48j-98k D) 2.3i 1.15-2.31 k 2t Rt la

Answer 1

Given data q_1 = 45 mu c, Q_2 = 59 mu c, at (3, 3, 1) at r_1 (1, 2, 3) F^vector = 1/ 4 pi epsilon_3 . Q_1. Q_2/ r^2 . a^^r a^^r = r^bar/ Vertical-bar r Vertical-bar F^bar = 1/ 4 pi epsilon_0 . Q_1. Q_2/ r^3 r^bar r^bar = (3- 1) i^^+ (3 - 23)j^^+ (1 - 3)k^^r^bar = 2 i^^+ j^^-2k^^F^bar = 1/ 4 pi 8.85 times 10^-12 times 45 times 59 times 10^-12/ [squareroot 4 + 1 + 4]^3 . (2i^^+ j^^-2k^^) therefore F^bar = -1.76 i^^+ 0.88j^^-1.77k^^