This note describes an external pack I made from about $35 worth of parts from Radio Shack. In a non-stop recording test with the internal mics, it can power the unit to record 128kb mp3 for about 20 hours straight [backlight off]. I have not tried run time tests with phantom power enabled. As expected, using the external pack made the 'beep' vanish.
A slow charger and one 9.6v NiMH battery pack are sold together for about $25:
While the charger says 8 hours, I believe that time is for nicads -- with the supplied NiMH, the time is more like 10 hours. Spare packs are currently about $10
Here is the pack shown held to the back with rubber bands:
This is the 'hand held' view:
All that is needed is to make a cable using the cable repair kit and a power plug [note that the tip on mine is negative (black wire) -- be sure to verify the polarity with a volt meter, comparing your AC adapter to the completed pack before attempting to use the pack].
A faster charger is available for about $40, but fast chargers are often known to decrease battery life.
Parts list:
274-1569 Size M Coaxial DC Power Plug (2-Pack) -- $3
23-445 RC 9.6V Battery Pack Connector Repair Kit -- $4
23-432 RC Car Battery Pack and Charger -- $25
Optional:
23-331 9.6V/1600mAh Ni-MH Battery Pack -- $10 [extra pack]
23-433 Ultra Fast Universal RC Charger -- $40 [fast charger]
[the above part numbers are on-line part numbers -- the store version has been known to be different as stock is upgraded along the way.]
Note, I make no representation regarding the suitability of this for your equipment. For all I know, long term use could very well damage the H4. Improper assembly will likely damage the H4. Your mileage may vary.