It’s called the Money Supply. There are various govt. published figures that track it (M1, M2, M3) with M3 being the most important. But wait, guess what? The Fed stopped publishing M3 (the most important of the three) in 2006! See this link for more info:
The way to tell when the Fed turned on the spigot used to be as simple as watching M3. But, apparently some kind of politics have hidden it from public consumption. Maybe the Fed/Govt. got concerned that the public would actually find out how drastically they were de-basing our currency!