Question

A charge q is placed at the centre of the line join-

ing two equal charges Q. Show that the system of

three charges will be in equilibrium if q = -Q/4.
...
..
plzz Solve it fast..​

Answer 1

Answer:

A charge q is placed at the centre C of the line joining two equal charges Q each, at points A and B. Let AB=2a

If the net force on each charge will be zero, the system will be in equilibrium.

Let us consider the charge Q at A. Under equilibrium, the total force on this charge is

4Πϵ

0

1

a

2

qQ

+

4Πϵ

0

1

2a

2

QQ

=0

4Πϵ

0

1

a

2

qQ

=−

4Πϵ

0

1

4a

2

Q

2

q=−

4

Q

Answer 2

Explanation:

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A charge q is placed at the centre of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to? If the net force on each charge will be zero, the system will be in equilibrium

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