Question

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: ?1(0,0), ?2(d,0), and ?3(d,d). The charges ?1 and ?3 are positive, whereas the charge ?2 is negative.

a) Express the resultant force ?⃗ 3 exerted on ?3, in terms of ?1, ?2, ?3, and d, in unit vector notation. Show all vectors on the figure, and indicate your solution steps.

b) Using the expression found in a) above, calculate the x and y components of the resultant force exerted on ?3, if ?1 = 5??, ?2 = −3??, ?3 = 7??, and d = 12 cm.

c) Based on the values of the charges and the distance d given in b), find the total electric field ?⃗⃗ 3 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 ?⃗⃗ 1 measured in the origin (i.e. the point of coordinates (0,0). Express ?⃗⃗ 1 in unit vector notation. Show all vectors on the figure, and indicate your solution step

Pkya¡เร 11 Avigunco// Second Sewer 20i8-2019 D. Fai ET Haan Cocsidet a system ofthree pont charges as indcated in he figure below, wherean-xis and y-axis are shown as reference in the system. The coordinates of these charges are given as follows: q10. (d,0), and sld,d). The chargsq and are pusitive, whereas the charge 4 is negative. 43 7 12 a) Express the resultant foreed on, in tems of,s, and d, in unit vector notation. Show all voctorson the figure, and indicate your solution stops. b) Using the expression found in a) above, calculate the x and y compoeents of the resutant foree exerted on q ifqi-3c,uc, a cm c) Based on the values of the charges and the distance d given in b), find the total electric field measured in the pnt of coordinates (d.d) d) Rasad on the values of the charges and the distance d given in b), find the tocal electrie field measured in the originti.e. the point of coordias (0,0).Eees Ennttrotation. Show all vectors on the figure, and indicate your solution steps

Answer 1