Object A has a charge q on it,object B has a charge q on it,and object C has a charge 4q on it.These charges are arranged,one each,at the vertices of an equilateral triangle.Which charge has the greatest magnitude electric force on it?

Question

Object A has a charge q on it,object B has a charge q on it,and object C has a charge 4q on it.These charges are arranged,one each,at the vertices of an equilateral triangle.Which charge has the greatest magnitude electric force on it?
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Quizplus · Accepted Answer

The magnitude of electric force is proportional to the magnitude of charge and inversely proportional to the square of the distance between the charges. Since object C has the highest charge (4q), it will experience the greatest magnitude electric force. Furthermore, the distances between each pair of charges are equal, and therefore the distances in the denominator of the equation for electric force cancel out. Therefore, the magnitude of the electric force is only dependent on the magnitude of the charges, and not on their relative positions. Thus, all three charges do not experience equal magnitude forces, and only object C has the maximum magnitude electric force on it.

Object a Has a Charge Q on It,object B Has