Pre amp has a hum in it that my other guitar does not
You can try repair it. They are pretty basic. I would look for poor solder connections, and reflowing all solder joints in it would be prudent.
The hum is likely from a gain stage with a bad solder joint on the input isolation capacitor. Also check other wires and check for bad solder connections on the pickup connections as well. It can even pick up hum through a bad shieid/ground connection in the jack on the guitar
You can handle each item as a discrete part. If you wanted to test the preamp just to be sure, disconnect the input and connect temporarily an MP3 player- it chould sound clean. you can tap the IC chip to see if it produces harmonic noise- if it does, replace the IC. It is most likely a 4558 series.
If you remove the bone cover, you may be able to see the fault and repair that too. It is fine wire though and may try the patience, but you likely have just a broken wire in the pickup. With a small soldering iron you can heat each solder joint and with fine gauge solder just touch a little on each connection, that should rememedy a loose solder joint, the broken wire is about 41 gauge, and if you need to use a splice to effect the repair, the heat from the soldering iron should be enough to melt the varnish.
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SOURCE: Have Line 6 Variax 700 6 String Modeling Guitar
The frequency of the A string when in tune is 110Hz.
What you are hearing is actually 120Hz which is the second harmonic of the 60Hz power frequency. It would be hard for you to distinguish between 110 an 120.
Try this test: Bring something that produces a reasonable magnetic field such as a wall wart power adapter that is powered near your pickup... Then you will be able to see that you are picking up stray magnetic fields from your environment.
Humbucker pickups attempt to quash such pickup by winding the pickup so stray magnetic fields cancel in adjacent coils.
Some pickup CAN occur on your cord and also in an amp.
If you leave your cable unplugged from teh guitar you are LIKELY to pick up some of this hum... The second harmonic pickup is COMMON when devces like full wave rectifiers are driven by transformers in the area.
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should I replace the pre-amp or try to have it repaired?
I Think my problem is in the pickup itself . A luthier at Guitar Center replaced the plastic saddle with bone. I don't remember hearing the hum until after the upgrade was done.
Would an entire pickup and preamp be necessary? Or could I just replace the under saddle pickup and still use the same preamp?
No need anymore I just traded the guitar
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