Someone help explain electric dipole situation

AI Thread Summary
Electric dipoles consist of two charges that are equal in magnitude but opposite in sign, which is essential for defining their dipole moment. The discussion highlights a misconception regarding a scenario where charges of 2Q and -Q are presented, arguing that they do not form a true dipole since their magnitudes differ. It is clarified that while a dipole requires equal magnitudes, charge configurations can still exhibit a dipole moment without being classified strictly as dipoles. The lowest multipole moment, which is crucial for understanding dipoles, vanishes only when equal and opposite charges are present. Therefore, the presence of unequal charges like 2Q and -Q indicates a different charge distribution that affects the dipole moment.
Captain Levi
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Ok so she says that electric dipoles are of opposite charge but equal magnitude at 3:40. But then at 5:33 she shows 2Q with -Q, at that point the magnitude of the 2Q particle wouldn't be equal to the -Q so they wouldn't be electrical dipoles right?
 
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Captain Levi said:
Ok so she says that electric dipoles are of opposite charge but equal magnitude at 3:40. But then at 5:33 she shows 2Q with -Q, at that point the magnitude of the 2Q particle wouldn't be equal to the -Q so they wouldn't be electrical dipoles right?
At 3:40, she gives an example of a dipole, not a definition. A dipole is described by two opposite charges, but not necessarily of the same magnitude.
 
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Captain Levi said:


Ok so she says that electric dipoles are of opposite charge but equal magnitude at 3:40. But then at 5:33 she shows 2Q with -Q, at that point the magnitude of the 2Q particle wouldn't be equal to the -Q so they wouldn't be electrical dipoles right?


Well, That is not really the way to look at it. First of all, there is a theorem that says the lowest nonvanishing multipole moment is independent of origin. The lowest multipole moment is just the total charge and if the charge configurtation contains equal and opposite charges, that vanishes. The next multipole is the dipole and with two equal and opposite charges, the "monopole" moment vanishes and therefore the dipole moment does not depend on how you choose your coodinates. Thst is what makes it a dipole and not just a charge distribution with a dipole moment. If they are not equal as in your example with charges 2Q and -Q, the lowest moment does not vanish because the total charge is Q, so there is a term proportional to Q and any dipole moment of the configuration depends on the position of the charges. You can have a charge distribution that has a dipole moment without the distribution itself being a dipole.
 
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