The Dc resonant transformer

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I don't mean to leave the battery connected how can you permanently charge them when they are fart apart from each other using a battery?

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what about a capacitor inside a capacitor?  ]

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charge a paraller plate capacitor C1 , form another capacitor C2 enclosing C1, charge C2 no opposition exists, C1 voltage is increases ,C1  energy is higher where did the energy come from? C2 capacitance doesnt change if C1 is charged or discharged from what I've checked but I can be wrong.

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charge a paraller plate capacitor C1 , form another capacitor C2 enclosing C1, charge C2 no opposition exists, C1 voltage is increases ,C1  energy is higher where did the energy come from? C2 capacitance doesnt change if C1 is charged or discharged from what I've checked but I can be wrong.

You forgets that if c1 is in the middle of C2 you need to add the c1 voltage  + over voltage to e able to charge c2

make a drawing and think about

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but the electric field outside (an ideal) capacitor is zero what do you mean?

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Geon there is a difference of potential there, for example if you charge the first capacitor and than you complete your construction and than you short the c2 what happens?

C1 discharges and charges the c2

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ΔV=-Ed=0 outside any capacitor ideally isn't it correct? so no work is possible by C1 on C2 ... only by C2 on C1.. and I don't understand why should C1 discharge if it's not connected to anything ? I'm not that good of an artist but here is how it should look like, read pm I explain it better.

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do you agree that to charge the C2  cap you need its electric field to cross the region with electric fields C1?

The electric field is zero outside a capacitor but the potential is not!