- #1
Fmhood
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I have been thinking about the following situation, without getting the physical understandig straight:
Two electrodes, one twice the size (area) of the other, are connected to a voltage generator to obtain a voltage difference of 100V between the electrodes. The question is if the voltage will be split symmetrically between the electrodes? (i.e. is the voltage difference between each electrode and ground the same?).
My argumentation goes as follows: The voltage generator makes sure that the electrodes have opposite charges in equal amounts. This means that the large electrode will have half the charge density compared to small electrode. The potential of the electrode is however a superposition of the potential of each charge. Since the product, charge density times "size" is the same for both electrodes, their potential difference with respect to ground must be the same.
Am I making a mistake here?
thanks...
Two electrodes, one twice the size (area) of the other, are connected to a voltage generator to obtain a voltage difference of 100V between the electrodes. The question is if the voltage will be split symmetrically between the electrodes? (i.e. is the voltage difference between each electrode and ground the same?).
My argumentation goes as follows: The voltage generator makes sure that the electrodes have opposite charges in equal amounts. This means that the large electrode will have half the charge density compared to small electrode. The potential of the electrode is however a superposition of the potential of each charge. Since the product, charge density times "size" is the same for both electrodes, their potential difference with respect to ground must be the same.
Am I making a mistake here?
thanks...