If by "die" you mean stops working, then yes, the Power Steering is disabled when the engine is not running. The power steering is actually a hydraulic pump that assists your effort in turning the steering wheel. The pump is powered by the engine, so when the engine is off, so is the power steering. Incidentally, if you should lose power steering while the car is moving (engine dies, belt failure, hydraulic line breached, etc) you haven't lost the ability to steer, you've only lost the power assist.
Also, in most modern cars when you turn off the car, the steering wheel lock engages. This is an antitheft measure, such that the car is difficult to push away when it's turned off (to a loading ramp, for example) because it cannot be steered. It's not worth much, as obviously the most effective way of stealing a car is to hotwire the ignition and drive it away.
if it shuts down than the cell and nucleus will both 'die'
You die end of
Your power brake booster is probably bad.
Hindley Shuts Himself In A Room And Drinks Himself To Death.
Check spark after it shuts down.Might be your coil getting week after it gets hot.It could also be a spark plug.
The power steering pump is driven off the engine with a belt so when the engine dies so does the power steering.
This problem could be cause by too much tension on your engine. The power steering is linked in with the rest of your engine pulley's and if you are demanding a lot from your power steering system it's going to in turn demand more from your engine and typically at conventional turning speeds your engine won't have enough rpm's or compression to continue to supply that needed power to keep the engine cranking and your power steering to be driven hard.
check to see is power steering pump is locked-up.
The power brake booster is leaking vacuum and that makes the engine die when the brakes are applied. Replace brake booster.
this is for safety so engine does not get ruined,check oil level!!
your heart can not pump blood so the whole body shuts down
if the respitory system suhtting downthe results are ou will die