Final answer:
The net electric force on the charge in the lower right corner can be calculated using Coulomb's law. The magnitudes of the forces exerted by the other charges can be determined by considering the charges and distances involved. The direction of the net force can be determined by adding the individual forces vectorially.
Step-by-step explanation:
The net electric force on the charge in the lower right corner can be calculated by summing the individual forces exerted by the other three charges. Since all four charges are identical and arranged in a rectangle, the magnitudes of the forces will be the same. The magnitudes of the forces can be determined using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for Coulomb's law is:
F = k * (q1 * q2) / r^2
where F is the force, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. The direction of the force is determined by the charges involved. Charges with the same sign repel each other, while charges with different signs attract each other.
To calculate the magnitude and direction of the net electric force on the charge in the lower right corner, you can calculate the forces exerted by each of the other three charges individually and then add them vectorially. Since the four charges are arranged in a rectangle, the forces exerted by the top-left and top-right charges will point downwards and towards the left, while the force exerted by the bottom-left charge will point upwards and towards the right. By adding these forces vectorially, you can determine the net force.
Let me know if you need help with any specific calculations.