Two small spheres with mass 10 gm and charge q, are suspended from a point by threads of length l=0.22m. what is the charge on each sphere if the threads make an angle î¸ of 15 degrees with the vertical?

Explanation:

According to the free-body diagram of the system, we have:

So, we can solve for T from (1):

Replacing (3) in (2):

The electric force () is given by the Coulomb's law. Recall that the charge q is the same in both spheres:

According to pythagoras theorem, the distance of separation (r) of the spheres are given by:

Finally, we replace (5) in (4) and solving for q:

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