Battery Charging

Probably a dumb question but here goes..When you have other things attached to the battery posts like an inverter, battery monitor etc. and then attach a charger to the battery posts or use the converter, do all the amps/power that are replenishing the batteries just go into the battery? What stops the juice from going through the other leads of whatever else is attached? Can damage occur to the electronics of those other devices? Like a back feeding situation? Every image or video you see on charging batteries, doesn't show anything else attached. It wouldn't make sense to have to remove everything that's attached every time you need to charge the batteries and then re-attach when done.