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ID: 1617007 • Letter: 8

Question

83% D Tue 1:06 AM a E Chrome File Edit View History Bookmarks People Window Help Mastering Physics: HW 1 Secure https Sessio mastering physi cs.com/ next&assignment; ProblemID 77464106 Physics 2200 New Help Close Hw1 Exercise 21.44 Resources previous l 6 of 12 l next Mastering Ph Exercise 21.44 Part A My Courses Calculate the electric fields Ei and E2 at point Pdue to the charges gi and 2.Express your results Point charge q -5.00 nc is at the origin and in terms of unit vectors (see example 21.6 in the textbook). Course Home point charge +3.00nC is on the z-axis at z 3.00cm. Point P is on the y axis at y 4.00cm. Express your answer in terms of the unit vectors i, j. Enter your answers separated by a Syllabus Comma Assignments Course Tools N/C En E. eText Submit My Answers Give Up Student Solut Manual Part B Study Area Use the results of part (a) to obtain the resultant field at P, expressed in unit vector form. User Settings Express your answer in terms of the unit vectors i, j. N/C Submit My Answers Give Up Learn more about assinnment sonres

Explanation / Answer

(a)

elecric field E1 at point P,

E1 = kq1 / d^2 = 9*10^9*5*10^(-9) / (0.04)^2

E1 = 28215 (-j) N/C

E2 at point P,

E2 = [kq2*sin(theta) / d^2] -i + [kq2*cos(theta) / d^2] j

d = sqrt (3^2 + 4^2) = 5 cm

E2 = 9*10^9*3*10^9 (3 / 5 + 4 / 5) / (0.05)^2

E2 = -6480 i + 8640 j N/C

(b)

net electric field is,

E = E1 + E2

E = 28215 (-j) + (-6480 i + 8640 j)

E = -6480 i - 19575 j N/C

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