I am guessing that it is a laptop (2.5") external drive.
First thing - try another computer to make sure that your laptop is not the problem.
If the drive is dead, you have two possibilities:
1. The USB interface is dead, or
2. The hard drive, itself, has failed.
No power light seems to indicate that the USB interface is the problem.
You can try disassembling the external drive and installing it in another external case.