point
15. The sum of two charges is 'Q' separated with a distance 'r'. What should be the magnitude of each charge so that
force between them is maximum?
0 0
Q
(b)
99
2 2
(c)
29
4 2
(d)
2 2
4
Answers
Answered by
1
Answer:
Let one part of the charge be q.
Thus other part of the charge is Q−q
Electrostatic force between them F=
r
2
kq(Q−q)
For maximum force,
dq
dF
=0
∴
dq
d
(
r
2
kq(Q−q)
)=0
Or
dq
d
(qQ−q
2
)=0
Or Q−2q=0 ⟹q=
2
Q
Hence force between them is maximum if the tqo parts have charge Q/2 each.
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