Final answer:
The main advantage of superconductor magnet design is its strength, while the main disadvantage is the need for cooling to low temperatures.
Step-by-step explanation:
The main advantage of superconductor magnet design is that it allows for the creation of magnets that are 10 times stronger than the strongest conventional electromagnets. This is particularly useful in applications such as magnetic resonance imaging (MRI), where strong magnets are needed to produce high-quality images of the body without radiation. On the other hand, the main disadvantage of superconductor magnet design is the need for cooling the superconductor to very low temperatures to maintain its superconducting properties. This requires the use of cryogenic systems and can be costly and complex.