A charge Q is divided into two parts of q and Q−q. If the Coulomb repulsion between them when they are separated, is to be maximum, the ratio of qQ should be:
A
2
B
1/2
C
4
D
1/4
Medium
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Solution
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Correct option is A)
Let parts are separated at a distance of 'd'
So repulsion force,
F=d2kq(Q−q)
here, Q and d are constant so for maximum force differentiate the force w.r.t q,
dqdF=d2k(Q−2q)
For maximum force, dqdF=0
d2k(Q−2q)=0
Q−2q=0
qQ=2
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