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Let's assume that the experiment is done in a vacuum and there's a circuit as in the attachment. The values of voltage/resistance/capacitance are insignificant.

Assume that the right terminals of capacitors and the wire that connect them are made from antimatter, all else is made from regular matter.

My question is, would the voltage observed on resistor be the same as with the above terminals/wires made from regular matter?

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your circuit would annihilate immediately you can not have matter and antimatter together. The question is how will you get antimatter in the first place?

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  • $\begingroup$ I don't agree, you can make two plates of a capacitor as far away as you want, but with increasing distance they need to have bigger size to keep the same capacity. As I mentioned, this mind-experiment is done in vacuum. $\endgroup$
    – Robert Gawron
    Aug 9, 2020 at 22:17
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    $\begingroup$ Fine, the circuit is in a vacuum. How do you suspend the anti-matter half of the circuit in the vacuum? $\endgroup$
    – MaxW
    Aug 9, 2020 at 22:29
  • $\begingroup$ The question has nothing to do with how to suspend the matter and anti-matter components of the circuit. It is assumed that has been figured out. That said, if you really want a scheme that can do it fine. Construct a matter spaceship which can control its position in space along all three directions. Build the same thing out of antimatter. Install some optical measuring equipment that can mounted on one of the ships so that it can be used to position itself relative to the other. Install each end of this circuit as a payload on each ship. $\endgroup$
    – Jagerber48
    Aug 9, 2020 at 22:36
  • $\begingroup$ Ensure that the propulsion systems are aligned so as not to blow fuel onto the opposite ship as that would cause annihilation. One can also imagine electromagnetic levitation schemes which could be used to levitate one or the other part of the circuit relative to the first. $\endgroup$
    – Jagerber48
    Aug 9, 2020 at 22:37
  • $\begingroup$ @jgerber and to the ones who think that even in theory this could work: what about where the connection has to be made with matter? wherever they have contact they would annihilate destroying the circuit. $\endgroup$
    – anna v
    Aug 10, 2020 at 5:34
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Yes. The voltage across the resistor will be the same whether the right half of the circuit is constructed from matter or anti-matter.

During the parts of the period of the sine wave when the upper terminal of the supply is at a positive potential relative to the lower terminal (as indicated in the diagram) then conventional current will flow clockwise in the circuit meaning that

  • electrons will flow from the left terminal of the upper capacitor into the upper terminal of the voltage supply and
  • electrons will flow from the lower terminal of the supply through the resistor into the left terminal of the lower capacitor.
  • anti-electrons (positive charge) will flow from the right terminal of the upper capacitor into the right terminal of the lower capacitor.

So we would see both electrons and anti-electrons flowing out of the upper capacitor (with a net-conventional current rightwards) and we would see both electrons and anti-electrons flowing into the lower capacitor (with a net-conventional current leftwards).

All that matters for the resistor voltage is the current running through it and that would be same with matter or anti-matter. The two capacitor terminals interact through the electric field within the capacitor and matter and anti-matter charges produce electric fields the same way.

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