bensyverson, Is the recording monitor of your H2 set to "off?" It's described on page 79 of the manual. Just a guess.
soulboogiealex, The H2 can provide "plug-in power," about 2.5V DC, to mics that use that form of powering. "Phantom power," 48V DC, is not available. If your mics need 48V, then you should get a separate battery box like the Rolls PB224. The PB224 uses its own batteries to provide "phantom power" to mics.
Actually, using an external battery box will produce better results from just about any recorder that is powered by two AA cells or a small rechargeable internal battery. The battery box will make sure your mics get the power they need.
Flintstone