What is the electric field at point 1 in the figure? given your answer in compon

Question

What is the electric field at point 1 in the figure? given your answer in component from (figure 1) Assume that a = 2.3 and b = 4.6 cm. Express your answer using two significant figure enter your answer numerically separated by a comma. Answer that x-axis is directed horizontally to the right, and y-axis is directed vertically upward. E_1x E_1y = What is the electric field at point 2 in the figure? given your answer in component form. Express your answer using two significant figure enter your answer numerically separated by a comma. Answer that x-axis is directed horizontally to the right, and y-axis is directed vertically upward. E_2x E_2y = What is the electric field at point 3 in the figure? given your answer in component form. Express your answer using two significant figure enter your answer numerically separated by a comma. Answer that x-axis is directed horizontally to the right, and y-axis is directed vertically upward. E_3x E_3y =

Explanation / Answer

part a)

q = 10 nC

a = 2.9 cm

b = 4.6 cm

elctric field at 1 = k * q/a^2 j

elctric field at 1 = 9 10^9 * 10 *10^-9/.029^2 j

elctric field at 1 = 1.07 *10^5 j N/C

E1x = 0 N/C

E1y = 1.07 *10^5 N/C

part B) at the point 2

angle of electric field at 2 with x axis

theta = arctan(a/b) = arctan(2.9/4.6) = 32.22 degree

Now, for the electric field at 2

E2 = 9 * 10/(0.029^2 + 0.046^2) * (cos(32.22) i + j * sin(32.22))

E2 = 25749 i + 16227 j

E2x = 25749 N/C

E2y = 16227 N/C

part c)

elctric field at 3 = k * q/b^2 i

elctric field at 3 = 9 10^9 * 10 *10^-9/.046^2 i

elctric field at 3 = 42533 i N/C

E1x = 42533 N/C

E1y = 0 N/C

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