Is my A/C killing my battery?

Ok so I have an issue. When i run my a/c in my car it seems to take alot out of my battery. At times especially when idling when a/c is on i can hear the air compressor running and clicking. It is kinda loud. Also seems to drain power from my radio. My radio starts to skip and if i run it too long or forget to turn it off before i turn off the car i will need a jump to start it. I was wondering if anyone has had this issue how did you resolve it or if yoy have any info on this situation your input is appreciated. I have a 2000 ford taurus. Just got a brand new battery yesterday and yesterday everything was fine but this morning it seems as if its happening again

There could be a few things that do what your describing. One is the A/C system is overcharged and is causing the engine RPM to drop to low at idle for the alternator to keep up with the demand. The clicking you hear would be the compressor clutch engaging and disengaging and if it is doing that a lot my thought of the overcharge would be a good possibility. The other thing that comes to mind is the alternator is not putting out it's max. You can't test that at any auto parts store or with a volt meter so you will need to take the car to a garage that has a load tester. It should not be that expensive as it will only take a few minutes to do the test. When you say the radio skips and it needs jumped I would say that the alternator is one of the causes. Dirty battery connections would be another.