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Electrostatic and Gravitational Force Equilibrium
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Two identical conducting spheres each of mass 10 g are suspended from separate, identical insulating threads of equal length. When both spheres carry equal charges, they repel each other and each thread makes an angle θ with the vertical at equilibrium. If the angle θ doubles (i.e., becomes 2θ) when the charge on each sphere is tripled, what equation relates the electric force $$F_e$$ and gravitational force $$F_g$$ at the original angle θ?

A

Fe = Fg tan θ

B

Fe = 3Fg tan θ

C

Fe = Fg cos θ

D

Fe = Fg sin θ

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