A charge Q is placed at the centr of the square of side 2.10 cm,
at the corners of which four identical charges q = 7.5 C are
placed. Find the value of the charge Q so that the whole system is
in equilibrium.
Given is:-
Side of the square a=2.10 cm or
Four identical charges with
The diagonal distance is
Now,
Let consider the charge on the top left corner, the forces experienced by this charge are as shown below:-
Now the value of the forces are
by plugging all the values we get
which gives us
The resultant of these two forces will be in the direction of Fc and will be
or
Now,
which gives us
now the total force experienced by the top left charge in the direction of Fc is
by plugging all the values we get
which gives us
Therefore the midpoint charge should be of negative polarity so that in can counter this net force, therefore
which gives us
This should be the required charge on to the midpoint charge so that the whole system remains in equilibrium
A charge Q is placed at the centr of the square of side 2.10 cm, at...
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