Electric field between two charged plates

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umciukas
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Is there any possible way that an electric field between two positivly charged plates (charge is the same on both of them) could induce a charge in a conductor that is put in this field?
 
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They are not infinite plates. But there distance from each other is comperably small to there own size. So what is your opinion? I understand that the field has to be zero between the plates but maybe there are some kind of other effects that would make it different...