A small insulating sphere of mass hangs from a massless string

PHYSICS · Subjective · CBSE · Physics · Electric Charges and Fields · Electric Charges and Fields

Problem

A small insulating sphere of mass mm hangs from a massless string. When a uniform horizontal electric field of magnitude EE is applied, the string settles at a constant angle θ\theta from the vertical. Derive an expression for the magnitude and sign of the sphere’s electric charge qq in terms of mm, gg, EE, and θ\theta.

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