Two point charges A and B are kept in vacuum at a certain distance. A attracts B with
an electric force F. Now another point charge C is placed near to A and B. What would
be the new electric force between A and B?
an electric force F. Now another point charge C is placed near to A and B. What would
be the new electric force between A and B?
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Answer:
Step 1: Force between the charges
Let the charges be q
1
and q
2
When kept
′
d
′
distance apart, the columbic force between them is given by,
F=k
d
2
q
1
q
2
....(1)
When charges get separated by d
′
, force reduces to F
′
=F/3
⇒
3
F
=k
d
′
2
q
1
q
2
....(2)
Step 2: Solving equations
Dividing Equation (1) by (2)⇒ 3=
d
2
d
′2
⇒ 3d
2
=d
′2
⇒ d
′
=
3
d
Explanation: