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Suppose you measure the force on the plate of an air-filled capacitor
held at a fixed potential difference - call that Fo. Now fill all
relevant surrounding space with a dielectric liquid of permittivity e_r
. The capacitance increases by a factor of e_r, hence the charge on the
plates increases by the same, but the E field is unaffected - so the
standard textbook answer is that the new force on the plate is e_r*Fo.
I am curious as the whether this is physically what would be observed.
Has anybody here tried the measurement?
it would have the
liquid pushing against it with a force of (1-e_r)*Fo, so the force you
would actually measure would still be Fo.