Car stalling if I turn the wheel too far left or too far to the right?

When the car is on and running, everything seems fine. No dash lights and no sounds.

If I turn cut my wheel too far left or too far right - my lights sputter in and out, the radio turns on and off, my steering wheel bucks or completely goes lose.

I turn my car off, wait 10 seconds, turn it back on and as long as I don't cut my steering wheel, it's fine again.