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iPad 55 AM 49% Problem 17.42 MasteringPhysics II of II Problem 17.42 In a rectan

ID: 2285848 • Letter: I

Question

iPad 55 AM 49% Problem 17.42 MasteringPhysics II of II Problem 17.42 In a rectangular coordinate system, a positive point charge q E 5.50nC is placed at the point ac 0m ,y 0, and an identical point charge is placed at ac 0.160 m ,y 0. Find the z and y components and the magnitude and direction of the electric field at the following points Part A Find the z and y components and the magnitude of the electric field at the origin. N/C Submit Give Up incorrect; Try Again; 6 attempts remaining Part B ES N/C Submit Give Up Part C

Explanation / Answer

q1 = 5.5 * 10-9 C           at x1 = 0.16 m and y = 0 m

q2 = 5.5 * 10-9 C           at x2 = -0.16 m and y = 0 m

k = 8.99 * 109 Nm2 / C2

Part A

X component of the magnitude of the electric field at the origin:

Ex = kq1 cos 180 / x22 + kq1 cos 0 / x22

Ex = 8.99 * 109 * 5.5 * 10-9 [-1 + 1] / (0.16)2

Ex = 0 N/C

Y component of the magnitude of the electric field at the origin:

Ey = kq1 sin 180 / x22 + kq1 sin 0 / x22

Ey = 8.99 * 109 * 5.5 * 10-9 [0 + 0] / (0.16)2

Ey = 0 N/C

Part B

E = (Ex2 + Ey2 )1/2

E = 0 N/C