Four points charges, each equal to
are held at the corners of a square
of side
. The magnitude of a charge
is placed at the centre of the square, so that the system of charges is in equilibrium, is
Text Solution
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As diagonal, 

Let us consider the equilibrium of charge
at
.
Force exerted on charge at
by charge at
,

Similarly, 

and

Net force on charge
at
in the
-direction,

Similarly, net force on charge
at
in the
-direction is

Resultant force on charge
at
,

Charge
will be in equilibrium, if
i.e. if 

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