My question is: how will a magnet's flux field be affected by having a magnet of a higher flux-density stuck on it? In this case, it's an old ferrite magnet, and I want to strengthen it using a neodymium magnet.
OK, since I have no answers, I can narrow the question.
Does the magnetic field from the Neodymium magnet just engulf the Ferrite magnet's field? Does it reinforce the field of the Ferrite magnet, resulting in a field slightly stronger than the Neodymium's field, or is it the reverse: a field with a weaker flux density than the Neodymium magnet, but stronger than the ferrite magnet?
If you were attempting to lift an object using magnets, then using two of them (even if one of them is of lesser strength) would provide more lift capability. However, you would have to position them appropriately so that their fields would not interact adversely to the task attempting to be accomplished (eg, two magnets stuck to each other). In general, calculating the attractive or repulsive force for two magnets is considered complex as dependencies include consideration of shape, magnetization, orientation and separation .
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