I can not figure out the second part to the problem. In the figure, point P is m

Question

I can not figure out the second part to the problem.

In the figure, point P is midway between the two charges. (Figure 1) Find the electric field in the plane of the page 5.0 cm to the left of P. Express your answers using two significant figures. Enter your answers numerically separated by a comma. Assume that the positive x and y axes are directed to the right and upward respectively. Find the electric field in the plane of the page 5.0 cm directly above P. Express your answers using two significant figures. Enter your answers numerically separated by a comma. Assume that the x and y axes are directed to the right and upward respectively.

Explanation / Answer

Electric field due to a point charge is given as

vector E = k q r / |r|^3

due to + 2uC,

r1 = 0.025i + 0.05j m

|r1| = sqrt(0.025^2 + 0.05^2) = 0.0559 m

E1 = (9 x 10^9 x 2 x 10^-6) (0.025i + 0.05j) / (0.0559)^3

E1 = (2.58i + 5.15j) x 10^6 N/C

due to -2uC:

r2 = - 0.025i + 0.05j m

|r2| = sqrt(0.025^2 + 0.05^2) = 0.0559 m

E2 = (9 x 10^9 x -2 x 10^-6) (-0.025i + 0.05j) / (0.0559)^3

E2 = (2.58i - 5.15j) x 10^6 N/C

Enet = E1 + E2 = 5.15i x 10^6 N/C

Ans: (5.15 x 10^6 , 0) N/C

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