Rust hole on frame

I've got a rust hole on my frame that I want to get taken care of. I suppose it's about dime sized, but I'll bet there's more rusty metal under that paint that will need to be taken care of.
Is that something I can close up by just laying some weld beads down? Or do I have to actually cut a section out of the frame and replace it?
Is it acceptable to just start welding on it, or do I need to strip the bike off the frame a bit? Any care as to the electronics?
All I have is a stick welder. I'm a little concerned about the gauge of the frame, but I think if I use a small enough rod it should work out ok.

 

The best way to repair rust on metal is to remove the rusted area and weld a patch into the spot. You want to complete the repair with short beads moving from a section to an opposite side of the patch to prevent heat build up and burn through. A MIG or TIG machine is better suited for this kind of repair. The position of the hole will best dictate the repair process suited to safely complete the repair. As you suggested there may be more damage. Look for any bubbling, loose, or scaled paint. Remove the paint damage and take a look at the metal below. Remove the battery and disconnect the ignition module prior to welding.

 

Sounds good; thanks.