There is a figure with a +2.0 UC charge on the left and a -2.0 uC charge on the right. P is in the center between the two charges. They are 5.0 cm apart. 1) Find the electric field 5.0 cm to the left of P. 2) Find the electric filed 5.0 cm directly above P. 3) Find the electrif field at P. I need the fx and fy value.

So far I know I have to use Coulombs Law. For number one I got 25.6 MN/C. For number 2 I got -5.15MN/C. For number three I got -57.6 MN/C. Though the answers want the fx and fy value and I don't know how to get that, please help.

2) you have the x distance, and the y distance to each charge. Use that distance in coulombs law. Now above P, you can simplify Ey greatly by using symettry arguments (Eydue to the rigth will be downward, Ey due to left will be upward, such that the vertical components cancel, so Ey net is zero).

3) Now at P, there will be no Ey (as there is no force in the y direction).
Ex will be twice what each charge will produce, as they are on different sides, opposite charges. So figure Ex for one charge, then double it.

This entire problem is trying to get you to visualize the results of symettry.

To find the electric field at a given point due to multiple charges, you need to calculate the electric field contribution from each charge separately. The total electric field at any point in space will be the vector sum of the individual electric fields.

The formula to calculate the electric field due to a single charge is given by Coulomb's Law:

E = k * (Q / r^2)

where:
E is the electric field
k is Coulomb's constant (k = 9.0 x 10^9 Nm^2/C^2)
Q is the charge
r is the distance between the charge and the point where you want to calculate the electric field.

To find the electric field at a point, you need to calculate the electric field contribution from each charge and then add them together vectorially.

For question 1), to find the electric field 5.0 cm to the left of P, you need to consider the contribution from the +2.0 uC charge on the left and the -2.0 uC charge on the right.
Let's call the point 5.0 cm to the left of P as point A.

First, calculate the electric field contribution from the +2.0 uC charge:
E1 = k * (Q1 / r1^2)

where:
Q1 = +2.0 uC (charge on the left)
r1 = distance between Q1 and A (5.0 cm to the left of P)

Then, calculate the electric field contribution from the -2.0 uC charge:
E2 = k * (Q2 / r2^2)

where:
Q2 = -2.0 uC (charge on the right)
r2 = distance between Q2 and A (5.0 cm to the right of P)

Finally, add the two electric field contributions together vectorially:
E_total = E1 + E2

To find the fx and fy values, you need to decompose the total electric field into x and y components using trigonometry.

For question 2), to find the electric field 5.0 cm directly above P, you can follow the same procedure as for question 1), but now consider a point 5.0 cm above P.

For question 3), to find the electric field at P, you can consider the contributions from both charges. The procedure is the same as for question 1), but now you calculate the electric field at P itself.

Remember to take the vector directions into account when adding the forces. The x-component of the electric field will depend on the relative signs and positions of the charges. Similarly, the y-component of the electric field will depend on the relative signs and positions of the charges.

I hope this explanation helps you understand how to find the fx and fy values for each case. If you have the magnitudes and angles for each of the electric fields, you can use trigonometry to calculate the x and y components.