Conversion Formula

1A of AC current = 1A of DC current

Are you sure?
What about peak & RMS values? Surely it depends how you are measuring your AC current. And what DC voltage the AC is converted to?
If you take 240 AC and put it through a transformer, bridge rectifier and regulator to produce 12v DC, then 1amp from the 12v DC won't need 1 amp from the AC supply.
The question isn't clear enough... it needs to define how the AC is changed to DC.
Del

Rule #75 applies here.

Ok first thing to realize is that ac and dc currents are two totally different things. I know this sounds silly to say but I have been asked how to convert volts into amps and other misinformed questions so if we just presume for a moment that we all know the fundamentals this question can be answered. When you rectify an ac voltage with say a bridge rectifier you will loose some of your voltage in the process. For example say you had 6 volts RMS ac and you rectified it through a bridge rectifier you would loose about 1.4 volts to the diodes. Ok now we have about 4.6 volts of very lumpy dc . To make a nice clean dc waveform a capacitor is often used . This will increase the voltage to almost peak values again so we end up with 6.4 volts of smooth dc. (Just remember RMS is not the peak voltage) To calculate the size of capacitor to give a 10% ripple use this formula for full-wave DC.

C = smoothing capacitance in farads (F)

Io = output current from the supply in amps (A)

Vs = supply voltage in volts (V), this is the peak value of the un-smoothed DC

f = frequency of the AC supply in hertz (Hz), ie:- 50Hz

Ok this question was for amps and I described volts. The current (amps) should stay the same when converted. The only thing that would limit you would be the capacity of the rectifier. If you totally disregard converting ac to dc and just look at ac verses dc then there is no difference. 1 amp is 1 amp be it ac or dc

this post is intentionally blank, as I've said it all already.
Del

"I know this sounds silly to say but I have been asked how to convert volts into amps"
Don't recall seeing that in the OP and there was certainly no mention of 6V or any other value for that matter.

I think this is a case of "over egging the pudding"

It's the exact same formula that is used for converting a sine wave to a straight line.

AC volt x 1.40 = DC volt

flatten out the sine wave

And were a smoothing capacitor to be used, what is the formula then, please?

To size the capacitor refer to my last post (if a single diode is used the capacitance must be doubled) . As for output voltage there will be a loss for the diodes in the rectifier typically you will loose 0.7 volts across a standard p-n silicon diode so for a bridge rectifier this is 1.4 volts (two diodes are conducting for each side of the cycle) . (Schottky diodes are 0.3 volts) The voltage will increase again by 1.4 x dc RMS volts when a smoothing capacitor is used.

The "Guest" OP did not ask for the conversion formula for AC volts to DC volts, he asked about current. My answer was actually snarky, my intent was more related to Rule #75.