How Do Point Charges Affect Electric Field Vectors at a Specific Location?

[sami23]

Homework Statement

Point charge q1= -5.00 is at the origin and point charge q2= +3.00 is on the -x axis at x= 3.00 cm. Point P is on the y-axis at y= 4.00 cm .

Calculate the electric fields E₁ and E₂ at point P due to the charges q₁ and q₂. Express your results in terms of unit vectors.

Homework Equations

r = sqrt(x² + y²)
hat{r} = (vec{r} /r = x hat{i} + y hat{j}) / r
vec{E} = (k * q)/r² hat{r}

The Attempt at a Solution

E₁ will be the vector from q₁ to point P
r = sqrt(0² + .04²) = .04 m

hat{r} = (0 hat{i} + .04 hat{j})/.04 = 0 hat{i} + 1 hat{j}

E₁ = (9*10⁹) * (-5.00*10^-9) / .04² (0 hat{i} + 1 hat{j})
= 0 hat{i} - 2.81*10⁴ hat{j}

i did the exact same steps to find E₂ and
E₂ = 6.47*10² hat{i} + 8.62*10² hat{j}

Am I doing something wrong? According to the steps I used because my answers are wrong and i even followed the way the steps were in the book.

 

[Doc Al]

Is q₂ at x = +3 cm or at x = -3 cm?

 

[sami23]

q₂ is at x=+3 cm = 0.03m

 

[Doc Al]

q₂ is at x=+3 cm = 0.03m

So how did you end up with a positive i-component?