C) What is the electric field at point 3 in the figure? Give your answer in comp

Question

C)

What is the electric field at point 3 in the figure? Give your answer in component form.

Express your answer using two significant figures. Enter your answers numerically separated by a comma. Assume that x-axis is directed horizontally to the right, and the y-axis is directed vertically upward.

KCH 22 HW Problem 22.64 8 of 11 What is the electric field at point 1 in the figure? Give your answer in component form.(Figure 1)Assume that a 2.1 cm ,b-0.90 cm, and q = 4.2 nC Express your answer using two significant figures. Enter your answers numerically separated by a comma. Assume that z-axis is directed horizontally to the right, and the y-axis is directed vertically upward. ? Elx Ely N/C Submit Figure 1 of 1 Part B What is the electric field at point 2 in the figure? Give your answer in component form. Express your answer using two significant figures. Enter your answers numerically separated by a comma. Assume that -axis is directed horizontally to the right, and the y-axis is directed vertically upward. N/C Submit

Explanation / Answer

Given,

a = 2.1 cm ; b = 0.9 cm ; q = 4.2 nc

theta = tan^-1(2.1/0.9) = 66.8 deg

d = sqrt (2.1^2 + 0.9^2) = 2.284 cm

E = k q/d^2

E = 9 x 10^9 x 4.2 x 0^-9/0.0228^2 = 7.27 x 10^4 N/C

Ex = 7.27 x 10^4 x cos66.8 = 2.86 x 10^4 N/C

Ey = 7.27 x 10^4 x sin66.8 = 6.68 x 10^4 N/C

Hence, Ex, Ey = 2.86 x 10^4, 6.68 x 10^4 N/C

b)d = 0.9 cm

E = 9 x 10^9 x 4.2 x 0^-9/0.0228^2 = 4.67 x 10^5 N/C

Hence, Ex, = 4.67 x 10^5 N/C ; 0 N/C

c)Using symmetry

Hence, Ex, Ey = 2.86 x 10^4, -6.68 x 10^4 N/C

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