Installing Question

So I have a MacBook and reinstall my OS yearly because of things getting slow. The USB that i always keep in comes up when the prompt for choosing a Hard-Drive. So my question is that if i plug in a hard drive with a USB converter and install MAC OS on to it, will it work if i plug it into another pc?
Here are the specs of the computer.

Intel PC = 天使 (Tenshi) - Angel

CPU: Intel i5 4460

Motherboard: MSI H81MP33

Ram: G.Skill 8 GB (2 x 4 GB) DDR3 SDRAM-1600 Memory

Graphics: GTX 680 4Gb

SSD: Kingston A400 120 GB 2.5″ Solid State drives

SSHD: Seagate 1tb SSHD

Case: cooler master N200 microAFX

Power supply: EVGA 600B 600 W 80+ Bronze Certified ATX Power Supply

Author: @mikemanlovecoke