Many things can cause that, the simplest cause being lack of power steering fluid.
A bad alternator. Turning the steering wheel all the way is very demanding on the power steering which draws power from the engine and can cause the idle to dip down. A weak alternator is usually the cause for the stalling.
Low steering fluid can cause a steering wheel to whine when turning. A worn steering belt can also cause a steering wheel to whine when a car is being turned.
ummm power steering
Check out the bearings in the steering column and the knuckles in the steering shaft
Check and see if your power steering fluid level is low.
Anytime I've ever heard a humming noise when turning the steering wheel on any vehicle,It has always been due to low power steering fluid
check the power steering rack or the steering pump
you have a bad power steering pump get a new one
Could be a worn belt, failing power steering pump or low power steering fluid.
A bad bearing can cause can the front end of car to make a squeaking noise when turning steering wheel either direction. It can also be caused by bad suspension.
ball joints or tie rods