  42a

Question

In the figure the four particles form a square of edge length a = 5.50 cm and have charges q1 = 7.48 nC, q2 = -21.4 nC, q3 = 21.4 nC, and q4 = -7.48 nC. What is the magnitude of the net electric field produced by the particles at the square's center?

Step 1

Given:

Charge q1 = 7.8 nC

Charge q2 = -21.4 nC

Charge q3 = 21.4 nC

Charge q4 = - 7.8 nC

Length of the side of the square, a = 5.5 cm

Step 2

Calculating the electric field at the center O due to charge q1: help_outlineImage TranscriptioncloseA From the dia gram, OA OB oCs OD Electric ield at the center due to V1, KOV (0s2) KoVi 2Kv EL a 2 (OA) 2 -9 Substitute K = qx£o° Nm°/c^, ^, in eauation (), -2 and a 5.5 X10 m 2 x 9Xlo x (4d x 1o) (5-5 xi62 E, 4.45xlo N/c Towards c) 1 fullscreen
Step 3

Calculating the electric field at th... help_outlineImage Transcriptioncloseat the center du to 2 Electic E = 2 Kv2 Kav2 KV2 CUB2 a 2 -9 Substitute K g x lNc in en -2xio C -2 and a 5 5x1 2xg Xlox (21-ų xio ( 5-5X15 E2 E2 12-73 X1o" N Towand e) fullscreen

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