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Ouestion 1 CLOL (100 pts.) Consider a system of three point charges as indicated in the figure below, where an x-axis and y-axis are shown as reference in the system. The coordinates of these charges are given as follows: q1(0,0), q2(d,0), and q3(d,d). The charges q1 and q3 are positive, whereas the charge q2 is negative. 93 q1 92 Express the resultant force F3 exerted on q3, in terms of q1, 42, q3, and d, in unit vector notation. Show all vectors on the figure, and indicate your solution steps. a) b) Using the expression found in a) above, calculate the x and y components of the resultant force exerted on q3, if q5uC, q23uC, q3-7uC, and d 12 cm. c) Based on the values of the charges and the distance d given in b), find the total electric field E, measured in the point of coordinates (d,d). d) Based on the values of the charges and the distance d given in b), find the total electric field E1 measured in the origin (i.e. the point of coordinates (0,0). Express E, in unit vector notation. Show all vectors on the figure, and indicate your solution steps.

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The dinfance between chavaer a, and a.z 2d2- 4.5 The dheelion i and 1 have oppos 2J2 242) x component of veavantpres 31Sxlo3 3X y- componen 144 쟈0-4 the ce iz acling on he(3 2. and declrie fld due to Total field E3 EgHG3 X-Component of E3 = EA et feldEE+ 3x -3y(d). Elechrie fold due fo 31 4TT6 2d2 E. old dueto q 2 2J2 eld Y- Com ponen

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