Install El Capitan On External Drive

I managed to install el capitan on the external drive and use terminal to force erase the disk. From there i booted the iMac on its original OS X lion and from there downloaded the public beta of mac os sierra, which i was supposed to in the first place, but i was just impatient. Before proceeding, make sure you have backed up your essential files and documents to an external drive, a USB thumb drive or Time Machine. How to erase, install or reinstall macOS in Recovery Mode 1) In the Apple menu choose Restart, or power on your Mac.

I am salvaging a mid 2013 MacBook Air 11' that was discarded with a broken screen backlight due to beverage spill and missing its SSD. (I have a very tiny budget right now so I'm only spending on more expensive items when my testing shows the machine might work well.)

I got the Apple Store to test the hardware then tested the computer myself by taking about two days to install OS X from one USB 2.0 flash drive to another USB 2.0 flash drive using an external display.

It seemed to work quite well other than that it ran at about 1% the speed of a normal Mac for anything that required disk access. This made it hard to test in any depth as problems could easily be due to OS X internal timeouts.

I have now purchased a USB 3.0 external hard drive and knowing how slow USB 2.0 flash drives are to install from and to, I'm hoping to use the fast external hard drive for both, but I'm not sure whether this is possible or how.

The external drive happened to come pre-formatted for Mac with two partitions, which to seems ideal.

Can I just copy the contents of the El Capitan bootable installer USB to one of the partitions? I fear I may need to copy it as a drive/partition rather than as a file or folder, since it must be bootable. Does such a copy require special software?

I need to ask the experts here without being able to experiment since I'm unable to justify the purchase price of a magsafe 2 power supply until I'm confident the machine will work well. I am able to borrow a power supply only occasionally from friends.

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I realize doing an Internet OS restore via Wi-Fi is another possibility but the Wi-Fi I have access to is both slow and behind a captive portal. So for this question I'm not pursuing that option thank you.