I need to convert 3vDC to 3vAC (EXTREMELY IMPORTANT!: KEEP THE SAME VOLTAGE BUT AC) but, is there any way to convert it WITHOUT a transformer? (If it contains capacitors: can my 16 volt capacitors work on 3vAC?
Use a simple CMOS gate oscillator using a 40106.
Using a 0.1uF cap for Ct and 390K for Rt should give you something in the ballpark of 60Hz.
Or use eg. a 220K resistor and a 470K or 500K preset in series, to allow the frequency to be tuned.
Add another 40106 inverter stage with its input to the osc output, to get a complementary signal.
Then feed the osc output to two other inverter inputs and connect both their outputs together as one signal output.
And feed the complement signal to the inputs of the last two inverters in the IC; connect their outputs together and they become the other signal output.
Connect the load between the two outputs; they will have the same voltage between them as the supply, but reversing continuously at the osc frequency, so the load will see an AC voltage.
The gate drawing tool I found does not allow anything but gates, I can't add the resistors and cap..
So, the oscillator part is as the first image below, and the overall arrangement as in the second image.
In that, the top left gate is the oscillator & the two connections to the right are the "AC" output;
40106 data with pinout:
Edit - as Crutschow points out, it needs a power stage of some sort adding for 500mA...
Me, speedreading, saw the current as 2.500 mA