What is the strength of the electric field at the position indicated by the dot

Question

What is the strength of the electric field at the position indicated by the dot in the figure(Figure 1) ?

Answer= E= 1.0 x 10^4

What is the direction of the electric field at the position indicated by the dot in the figure? (Assume that x-axis is horizontal and points to the right.)

Answer= ______degrees

clockwise from the +x-axis

What is the strength of the electric field at the position indicated by the dot in the figure(Figure 1) ? Answer= E= 1.0 x 10^4 What is the direction of the electric field at the position indicated by the dot in the figure? (Assume that x-axis is horizontal and points to the right.) Answer= ______degrees

Explanation / Answer

a)

Ex = kq (1/(0.05*0.05) - 0.05/(0.1*0.1+0.05*0.05)y1.5)

Ex = 9e9*3e-9 (1/(0.05*0.05) - 0.05/(0.1*0.1+0.05*0.05)y1.5)

Ex = 9834.02 N/C

Ey = kq (-0.1/(0.1*0.1+0.05*0.05)y1.5)

Ey = 27* (-0.1/(0.1*0.1+0.05*0.05)y1.5)

Ey = -1932 N/C

E = sqrt(1932*1932+9834.02*9834.02) = 10022 N/C = 1.0 x 10^4 N/C

b)

theta = arctan(1932/9834.02) = 11.11 = 11 degrees

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