Consider a system of two charges where the first charge is on the positive x-axi

Question

Consider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by (2.22, 0) N/C and (0, -2.22) N/C, respectively, determine the following (a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis ____________ N/C b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis _________ degree counterclockwise from the + x-axis (c) What would be the magnitude of the force on a 1.58 times 10^-9 C charge placed at the origin? ________ N

Explanation / Answer

(A) E1 = 2.22i and E2 = - 2.22j

E = E1 + E2 = 2.22i - 2.22j N/C

magnitude = sqrt(2.22^2 + 2.22^2) = 3.14 N/C .....Ans

(b) direction = 360 - tan^-1(2.22/2.22) = 315 deg

(c) F = q E

F = (1.58 x 10^-9) (3.14) = 4.96 x 10^-9 N

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