If two like charges each of 1c are placed at a distance of 0.3m apart in air then the force between them is
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Initially 2nC and −8nC are separated by a distance d.
Electrostatic force acting between them initially F=d2kq1q2
∴ F=d2(2)(8)k=d216k
Now the two charges are allowed to touch each other, they share equal charges among themselves.
Total charge of the system Q=2−8=−6nC
Thus new charge on each sphere q1′=q2′=−3nC
Let the new distance between them be d′.
Thus force acting between them F′=(d′)2kq1′q2′
∴ F′=(d′)2k(−3)(−3)=(d′)29k
But F′=F
∴ (d′)29k= d216k
Or (d′)2=169d2
⟹ d′=43d
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