In Fig. 21-20, a central particle of charge - 2q is

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QUESTION:

In Fig. 21-20, a central particle of charge - 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direction of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)

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QUESTION:

In Fig. 21-20, a central particle of charge - 2q is surrounded by a square array of charged particles, separated by either distance d or d/2 along the perimeter of the square. What are the magnitude and direction of the net electrostatic force on the central particle due to the other particles? (Hint: Consideration of symmetry can greatly reduce the amount of work required here.)

ANSWER:

Step 1 of 2

The following are given by question:

The charge placed at the center of the square

Distance between the charges is eitheror .

Considering the symmetry of the situation, the forces acting on the center charge -2q due to all the other charges present along the boundary of the square, gets cancelled out. Only the force acting on the center charge due to the charge +3q present in the middle of the left side of the square contributes in the net force on -2q.

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