Four charges equal to -Q are placed at the four corners of a square and a charge q is at its centre. If the system is in equilibrium the value of q is

JEE Main 2004 Physics question

Four charges equal to are placed at the four corners of a square and a charge is at its centre. If the system is in equilibrium the value of is

(1)
(2)Correct
(3)
(4)

Answer: (2)

Solution

Consider a corner charge (side ). Repulsion from the two adjacent corners: each, at right angles, resultant along the diagonal outward; from the opposite corner: outward. Total outward force $(2 +

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Question ID VK-038327