Yes, you can connect multiple Maxtor external hard drives to the same computer. Most modern computers are equipped with multiple USB ports, allowing users to connect several external devices simultaneously. When you plug in multiple Maxtor drives, each one should be recognized by the operating system without any issues. They will typically appear as separate drives in your file explorer, which enables easy access to each drive's content.
However, it is important to ensure that the power supply and data transfer capabilities of your computer can adequately support the number of external drives you wish to connect. If you encounter any issues, you might want to check that the drives are properly powered and that the USB ports are functioning correctly. Additionally, consider using a powered USB hub if you are connecting more drives than your computer can support directly. For further assistance with specific configurations, visiting the official Maxtor website could provide additional insights and resources.