A little charged bead is inside the hollow frictionless sphere manufactured from the insulating material. Sphere has a diameter of 50 cm. The mass of the bead is 90 mg, its charge is 0.5 µC. What minimum charge must carry on object at the bottom of the sphere to keep hold the charged bead at the vertex of the sphere in stable equilibrium-
Text Solution
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Let give small displacement to q.

The equilibrium will be stable if net force after giving displacement will be in direction of position of equilibrium.

F e sinα
mg sin2α. then net force will be directed toward vertex in initial equilibrium position

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