Why did the laptop turn off and show no signs of life?

Check if there’s sound and light after pressing Power button.

If any external devices are connecting, remove them and restart.

Or try reinstalling MacOS to see whether it works.

See more details on this page.

Time to inspect your MagSafe charger!

First lets check the cord does it have any damage like this:

Next we need to inspect the contacts are the outer pins at the same distance out?

Next we need to inspect the system is the contacts clean and in good shape as well as the insulator?

Yours should look like the bottom nice and clean

Is your contacts burn’t like this one

Let us know what you discover.

Us some isopropyl alcohol and a cotton swab (Q-Tip) to clean the junk off and use a fresh pink pencil eraser (still soft) to polish the contacts.

Otherwise its time for a new charger Apple 45W MagSafe 2 Power Adapter for MacBook Air

Get it directly from Apple don’t go cheap! the knockoffs kill systems and can also cause fires! I can tell you of a how the company I was working for ended up paying over 2 million in damages because an employee had forgotten his charger and bought knockoff only to set the hotel he was staying at a blaze!

You may need a newMacBook Air 13" (Mid 2012) I/O Board if the contacts can’t be cleaned, here’s the guide to put it in Reemplazo de la placa de E/S del MacBook Air de 13" mediados de 2012