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Two small balls with masses of 0.5 g eac...

Two small balls with masses of 0.5 g each hang on threads 0.8 m long each tied to common hook. What charge has been acquired by the system if, as a result, an angle `2alpha=12^(@)` has been established between the threads?

Text Solution

Verified by Experts

The correct Answer is:
`4xx10^(-8)C`

Equilibrium will be established, if the resultant of the electric force F, the force of gravity P = mg and the tension of th ethread T is zero (Fig.). Hence `F=P tan alpha`. Substituting the value of the electric force, we obtain after some transformation:
`Q=2q=2 sqrt(4pi epsilon_(0) mg tan alpha l^(2)sin^(2)alpha)`
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