Motorcycle Repair: heritage softtailshuting down while riding, time periods, tachometer

Question
QUESTION: after various time periods bike shuts down runs rough or intermittent firing until it shuts down completely when I come to a complete stop everything electrical is off after varying times of it being off it will restart and I'll be able to ride again for a while till it shuts off again.. have cleaned all battery posts and connections problem still happening is it the ignition control box under the seat or something else

ANSWER: what year is the bike? is it carberated or fuel injucted? When you say it shuts down, do the lights go off as well?
Mike

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QUESTION: The heritage is a 2000 I think  its carberated the lights go dim while in gear but when i engage the clutch all the lights go out while in gear the lights are dimmed

ANSWER: First, you need to make sure its charging all the time. Start the bike and at the battery what voltage are you getting at around 2000 RPM? When the bike shuts off what voltage do you get at the battery?
Mike

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QUESTION: when the bike is around 2000 rpm by guestemet no tachometer the meter reads at 14 volts when it shuts down it read 13.4 volts at the battery posts

Answer
Now you know your charging. It sounds like you have a intermediate short. Your going to hav to run the bike until it happens and then track it down. I would start by checking to see if you have power at the ignition switch when is shuts down. You would have to disconnect it to do this. Then if you have power you will have to follow it to the problem. Since you are losing power to the ignition as well as the lights then you have a main power problem, so it should be between the battery and the ignition switch
Good luck and happy riding
Mike