Earnshaws theorem says that you cannot trap a charged

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Reference no: EM13623267

Earnshaw's theorem says that you cannot trap a charged particle in an electrostatic field. Could you trap a neutral but polarizable atom in an electrostatic field?

a) Show that the force on the atom is:

F=1/2a Gradient E^2

b) The question becomes: is it possible for E2 to have a local maximum in a charge free region? In that case the force would push the atoms back to its equilibrium position. Show that the answer is no.

Reference no: EM13623267

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