As shown in Figure P25.76, two large, parallel, vertical conducting plates separated by distance d are charged so that their potentials are 1V0 and 2V0. A small conducting ball of mass m and radius R (where R ,, d) hangs midway between the plates. The thread of length L supporting the ball is a conducting wire connected to ground, so the potential of the ball is fixed at V 5 0. The ball hangs straight down in stable equilibrium when V0 is sufficiently small. Show that the equilibrium of the ball is unstable if V0 exceeds the critical value 3ked 2 mg/14RL24 1/2. Suggestion: Consider the forces on the ball when it is displaced a distance x ,, L.
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