- #1
AgPIper
- 7
- 0
Two large parallel vertical conducting plates separated by distance d are changed so that their potentials are (+V sub 0) and (-V sub 0).
A small conducting ball of mass m and radius R (where R<<d) is hung midway between the plates.
The thread of length L supporting the ball is a conducting wire connected to ground (at V=0)
The ball hands straight down in stable equilib when V sub 0 is sufficiently small.
Show that the equilib of the ball is unstable if V sub 0 exceeds the critical value k*d^2*mg/(4RL)
(Hint: consider the forces on the ball when it is displaced a distance x<<L.)
Thanks very much for answering! :-)
A small conducting ball of mass m and radius R (where R<<d) is hung midway between the plates.
The thread of length L supporting the ball is a conducting wire connected to ground (at V=0)
The ball hands straight down in stable equilib when V sub 0 is sufficiently small.
Show that the equilib of the ball is unstable if V sub 0 exceeds the critical value k*d^2*mg/(4RL)
(Hint: consider the forces on the ball when it is displaced a distance x<<L.)
Thanks very much for answering! :-)
Last edited: