I found this off another and they are some good suggestions;
-Is it possible when you changed the battery you hooked the negative cable to the battery before you hooked up the positive cable? (Just going through elimination process)...(not good for sensitive electronics). If so, disconnect both cables for 3-5 minutes and re-connect. Positive cable first, Negative cable last.
- Did you connect your CB power lead to one of the lugs coming off the clamp that goes to the positive battery post? If so, connect CB feed to the battery post clamp nut vs. one lugs coming off that clamp. (do this while the battery is completely dis-connected).
- a CB ground wire directly to the negative battery post clamp would be the best choice.
- make sure your antenna is grounded with a wire from the base of the antenna to a clean frame ground.
- How about installing an in-line diode at the CB feed wire coming off the battery. That way you would eliminate the possibility of feedback to the battery when the Mic is keyed. A diode capable of handling 5-10 amps should be more than enough for a Cobra Just after the diode, (between diode and CB) I'd suggest installing a 5 amp in-line fuse.
I suggest you use di-electric grease on all connections....inside and outside the Jeep - including antenna grounds.
I haven't installed a CB yet....I just got my Jeep a week and a half ago. Just throwing out some ideas for consideration. Hope it helps.