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Electrostatic and Gravitational Force Equilibrium

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Two identical conducting spheres, each with a mass of 10 g, are suspended by identical insulating threads. After being given equal charges, the spheres repel and hang in equilibrium, with each thread making an angle θ with the vertical. When the charge on each sphere is tripled, the angle with the vertical becomes 2θ. Which equation correctly relates the electric force, FeF_e, to the gravitational force, FgF_g, when the system is in its initial equilibrium at angle θ?

A

Fe = Fg cos θ

B

Fe = 3Fg tan θ

C

Fe = Fg tan θ

D

Fe = Fg sin θ

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