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Resistor calculations for powering 52 - ISD1820 voice modules in parallel.

Hello. I have a project that uses 52 of the ISD1820 voice recorder modules and I have wired them all to a 6V power supply in parallel, but it all overheats very quickly as is. I am trying to figure out the resistance of the entire circuit and include the required resistor, but am not sure if I am doing it correctly. Can anyone help? Each module draws approx 20ma while it is playing and they will all be playing at the same time, all the time basically. I believe each module has a resistance of 300 ohms (6V / .020A). Therefore because they are all in parallel I used the reciprocal 1 / 300 = .003333 and because there are 52 of them the total circuit resistance is (52 x .003333) = .173316 ohms. Therefore because the overall circuit resistance is so low, it attempts to draw 34 amps which could be why it is overheating. I believe that if each module needs 20 ma the overall current draw should only be 1.04 amps (.020 x 52). Should I be using the calculation of 6V / 1.04A = 5.769 ohms? If this is the case, I should put a 5.769 ohm resistor in series with the entire parallel circuit. Does this sound correct?
 
Your outlook on how things work is completely wrong.
Each device will draw only what it requires.
Where you have gone wrong is the data sheet for the device you quoted shows maximum voltage at 5.5V and you are running them at 6v , maybe more.

Actually, i just checked a couple of different modules and some are only 3v supply.
So which one do you have..??
 
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