Believe I've cooked a couple of alternators by giving people jump starts from my vehicle's battery while it's hooked into the electrical system.
Based on that, I've always disconnected the battery before charging it.
Just got a new microprocessor-controlled four-stage "smart" charger and now I'm wondering if this thing is smart enough to not damage my electrical system if I charge the battery at the "slow charge" (i.e. 2 amps max) setting.
Anybody doing this on any kind of regular basis with no problems?