A stationary magnetic field cannot heat and burn patients. What you are referring to is radio frequency heating, caused not by the magnetic field but by the radio waves used to do the actual probing. You do not need to increase the RF power to make use of the increased resolution offered by higher magnetic fields.
A stationary magnetic field cannot heat and burn patients.
Yes, this is true -- but only if the patient is also stationary. Which they aren't, usually; see 4. It's true that the vast majority of MRI burns are not of this type, but I'm aware of some examples.
What you are referring to is radio frequency heating, caused not by the magnetic field but by the radio waves used to do the actual probing. You do not need to increase the RF power to make use of the increased resolution offered by higher magnetic fields.
Right, my phrasing in 4 is a bit bad. However, I'm not referring to RF in 1.
http://spectrum.ieee.org/biomedical/imaging/the-worlds-most-powerful-mri-takes-shape