Macs have a magnetic connector between the AC adapter and laptop so they can yank away safely. But they still can fail if the plug gets pushed into the laptop ? we see this when a laptop falls off a sofa or table and lands on the power connector. MagSafe is the Apple name given for their magnetically attached power connector. MacBooks since 2006 have had this type of power jack.
If you computer does not respond to a press of the power switch and it is not the problem of the plug wire, then you need to check if it is the problem of the power supply connector.
PN: 923-0560 ?820-3584-A
Compatible Model:MACBOOK PRO 13'' Retina A1502 Late 2013 ME864LL/A* ME866LL/A
Package: 1× Magsafe 2 DC IN Power Jack Socket; CAP not included

Technical Details

Product Details

Product Dimensions

Package Dimensions
Width : 2.4 inch
Height : 0.2 inch
Length : 3.6 inch

Item Weight: 0 ounce (View shipping rates and policies)
Shipping Weight: 0.8 ounce (View shipping rates and policies)

ASIN : B01B0PKEYU