Two identical tiny spheres of mass m =2g and charge q hang from a non-conducting strings, each of length l = 10cm. at equilibrium, each string makes and angle θ =50 with the vertical. find the size of the charge on each spere.

q = 7.88μC

Explanation:

In the diagram attached, you can visualize the situation. Separation distance between the 2 charges is:

D = 2*L*sin θ = 0.1532m

From a sum of forces on the X-axis:

And on the y-axis:

  Solving for T and replacing its value on the X-axis equation we get:

 Since

 Solving for q we get:

q = 7.88μC

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