What value should I use for the capacitor?
MONO Balanced XLR mic to Stereo Camcorder mic in (1/8 inch mini-phone)

MONO Balanced XLR mic to Stereo Camcorder mic in (1/8 inch mini-phone)

STEREO Balanced XLR mic to Stereo Camcorder mic in (1/8 inch mini-phone)

What value should I use for the capacitor(s)?
Short answer:
something between 1 to 5 microfarads @ 5v.
Long answer:
The capacitor value depends on:
1) The input impedance of the camcorder
2) The low-frequency rolloff (3dB down frequency)
I use this web page...
For example, if your camcorder input impedance is 2500 ohms and you want frequency response down to 20 Hz, then you would use a 3.18 microfarad capacitor.
You can type in any two numbers and it will solve for the third. For example, if I still assume 2500 ohms input impedance, and plug in 1 microfarad, then I get a 63.6 Hz 3dB down point.
Note that most camcorders don't have published specifications for mic input impedance.
Note also that you may not want a lot of low frequency response unless you are recording flamenco dancers on a hardwood floor or a steam engine, or a pipe organ. Most low frequency sound out there is undesirable noise (at least for the purposes of video!)
Any capacitor which has the required capacitance and voltage values can be
used. If you want to put the cap inside the XLR connector shell, you will need a
pretty small one.
Surface-mount capacitors of appropriate capacitance and voltage values are now
readily available, but their tiny size means that you must be careful handling
and soldering to them.
rcrowley.com
Mic Adapters for Camcorders
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