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Glad you found something that works. Perhaps there is a textbook/handbook out there that discusses magnetic engineering in simple terms and shows a lot of practical applications. Besides the high quality permanent magnets that would require fields much stronger than what can easily be created in a solenoid to reverse the permanent magnetization, there are no doubt materials available that make low quality permanent magnets where the field strength is somewhat weak but also makes for a permanent magnetism whose direction can be reversed without requiring enormously strong reverse magnetic fields.