First, Let's get some terms straight.
Let me try to explain in terms of water. Voltage is pressure. So 110 volts would be like your garden hose @ 10 pounds per square inch. 220 v is like a fire hose @ 100 pound per square inch. Amperage is volume, so at the same voltage (pressure) , where your garden hose flows 10 gallons a minute, a fire hose flows 100 gallons per minute. Clear as mud??
So our trailer voltage (pressure) is 110v, and it is wired for 30 amps (volume)
Almost all campgrounds will have 30 amp services.
Your standard house outlet is 110 vac most likely 15 amps, maybe 20 amps.
Your A/C momentarily draws over 20 amps so no your house outlet probably won't start it.
IF your camper cord can be plugged directly into a house outlet without an adaptor, then yes, it has been modified. You should have a 10 guage (wire size) cord with an 30 amp RV plug on it. Anything less than 30 amp, is going to give you problems with your A/C.
2004 Dodge Ram 2500 Club Cab 4x4 CTD
2007 Sunline Solaris T-276-SR: Misty Blue/Cherry
2001 Dodge Ram 1500 Reg Cab 4x4 OFF-ROAD