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The magnitude of the force on positive charges will be and the magnitude of the force on the negative charge is .
Explanation:
Given:
The value of the charges, .
The length of each side of the triangle, .
Consider a equilateral triangle , as shown in the figure. Let two point charges of magnitude are situated at points and and another point charge is situated at point .
The value of the force on the charge at point due to charge at point is given by
The value of the force on the charge at point due to charge at point is given by
The net resultant force on the charge at point is given by
The value of the force on the charge at point due to charge at point is given by
The value of the force on the charge at point due to charge at point is given by
The net resultant force on the charge at point is given by
The value of the force on the charge at point due to charge at point is given by
The value of the force on the charge at point due to charge at point is given by
The net resultant force on the charge at point is given by
Substitute for , for and for in equation (1), we have
Substitute for , for and for in equation (2), we have
Substitute for , for and for in equation (3), we have