I get the same voltage when measuring the inside of the cylindrical part of the plug (white wire). Logically the outer part of the plug (black wire) is the ground, so the shielding and white wires are 19 VDC (+). Logically the hot shield and white wires on the new plug need to be connected to the hot wire on the older adapter.
Plug-In AC Adapters AC Adapters are available at Mouser Electronics from industry leading manufacturers. Mouser is an authorized distributor for many AC Adapter manufacturers including Cincon, CUI, Delta, Inventus, Mean Well, Phihong, TDK-Lambda, Triad & more.
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AC Power Cord Color Codes explained If you use a computer power cord or other cord based on the international wiring color code: BROWN = HOT BLUE = NEUTRAL under the green terminal screw on the grounding prong; attach the black wire (hot) under the brass terminal screw and the white wire
HP Notebook PCs - Using and Testing the AC Power Adapter. Ensure that the AC adapter plug is inserted completely and securely into the DC connector. For Samsung Print products, enter the M/C or Model Code found on the product label.
What does matter, however, is the adapter you plug it into the wall with. You need a Fast Charging compatible power brick to use Fast Charging on your Samsung phone. Without one, you will just use standard cable charging. Your phone will still charge, but not as quickly.