Net Force on Charge at Vertex B due to Charges at Vertices A and C of Right Triangle ABC

Introduction
In this problem, we have three charges placed at the vertices of a right triangle ABC, and we need to find the net force and its direction that the charges at vertices A and C exert on the charge at vertex B.

Charge and Force
Charge is a physical quantity that describes the amount of electrical energy in a particle, while force is a physical quantity that describes the interaction between two particles.

Coulomb's Law
Coulomb's law states that the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

Calculating the Net Force
To calculate the net force on the charge at vertex B, we need to find the individual forces exerted by the charges at vertices A and C on the charge at vertex B. We can use Coulomb's law to find the magnitude and direction of each force.

Triangle Properties
We know that the triangle ABC is a right triangle, so we can use the Pythagorean theorem to find the length of the hypotenuse. We can also use trigonometry to find the angles of the triangle.

Vector Addition
Once we have calculated the individual forces, we can use vector addition to find the net force on the charge at vertex B. We can use the graphical method or the component method to add the vectors.

Conclusion
In conclusion, we can find the net force and its direction that the charges at vertices A and C of the right triangle ABC exert on the charge at vertex B by calculating the individual forces and using vector addition. By applying Coulomb's law, we can find the magnitude and direction of each force, and by using vector addition, we can find the net force and its direction.