A system consists of four equal charges - Q placed at the four corners of a square and another charge q is placed at the centre of the square, then the value of q for which the system is in equilibrium, is

Question

A system consists of four equal charges - Q placed at the four corners of a square and another charge q is placed at the centre of the square, then the value of q for which the system is in equilibrium, is, - Q 4 ( 1 + 2 2 ), Q 2 ( 1 + 2 2 ), - Q 2 ( 1 + 2 2 ), Q 4 1 + 2 2

MARKS App · Accepted Answer

If the system is in equilibrium then the potential energy of the system will be zero 4 2 × 2 Q 2 4 π ε 0 a + Q 2 4 π ε 0 2 a - 4 × 1 4 π ε 0 Q q a 2 = 0 ⇒ q = Q 4 1 + 2 2

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