Confusion with unregulated PSUs: RMS current, transformer rating
If 1A were drawn 100% of the time, this is an RMS current of obviously 1A. If 10A were drawn for 10% of the time and zero otherwise, what is the RMS current?

I'm not using 9A at 10% because I'm doing the math in my head.

First convert to a "power" into an imaginery 1 ohm resistor - 10 amp is squared and power is 100W for ten percent of the time which means average power is 10W. Take the square root and the RMS current is 3.16 amps

What is the power for 1A 100% of the time? Answer 1W or 1A RMS into the same imaginary 1 ohm resistor.

Both currents average at 1A of course.