can someone help me with this, two positive points charges q=10uc and q2 5uc are placed at the top right and bottom left of a square of side 20cm respectively, I was told to find it's magnitudes an directions of the forces erected by each charge.

To find the magnitudes and directions of the forces exerted by each charge, you can use Coulomb's Law. Coulomb's Law states that the force between two charged particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.

Let's break down the problem step by step:

Step 1: Calculate the distance between the charges.
Since the charges are placed at opposite corners of a square, their separation distance is equal to the length of the square's diagonal. Given that the side of the square is 20 cm, the length of the diagonal can be calculated using the Pythagorean theorem:
diagonal = sqrt((side)^2 + (side)^2) = sqrt(20^2 + 20^2) = sqrt(800) cm.

Step 2: Convert the charges to the SI unit (Coulombs).
1 microcoulomb (μC) = 1 x 10^(-6) C.
Given charges:
q1 = 10 μC = 10 x 10^(-6) C.
q2 = 5 μC = 5 x 10^(-6) C.

Step 3: Calculate the magnitude of the force exerted by each charge using Coulomb's Law.
Using Coulomb's Law: F = (k * |q1 * q2|) / (r^2),
where F is the force, k is Coulomb's constant (9 x 10^9 Nm^2/C^2), |q1| and |q2| are the magnitudes of the charges, and r is the distance between them.

Force exerted by q1 on q2:
F1 = (k * |q1 * q2|) / (r^2) = (9 x 10^9 * |10 x 10^(-6) * 5 x 10^(-6)|) / (sqrt(800))^2.

Force exerted by q2 on q1:
F2 = (k * |q1 * q2|) / (r^2) = (9 x 10^9 * |10 x 10^(-6) * 5 x 10^(-6)|) / (sqrt(800))^2.

Step 4: Calculate the directions of the forces.
The forces exerted by the charges are electromagnetic forces, and they are vector quantities. The direction of the force can be determined using the principle that opposite charges attract each other (force is attractive) and like charges repel each other (force is repulsive). Since it's mentioned that both charges are positive, the forces are expected to be repulsive.

In this case, the force exerted by q1 on q2 is expected to point away from q1 (from top-right to bottom-left), while the force exerted by q2 on q1 is expected to point away from q2 (from bottom-left to top-right).

By following these steps and plugging in the given values, you should be able to calculate the magnitudes and directions of the forces exerted by each charge.