Real-world Problem:  MRI Health and Safety

Magnetic resonance imaging, or MRI, is a way of obtaining very detailed images of organs and tissues throughout the body without the need for x-rays. Instead, it uses a strong magnetic field (typically 1 to 2 T) , radio waves, a rapidly changing magnetic field, and a computer to demonstrate whether or not there is an injury or some disease process present. For this procedure, the patient is placed within the MR scanner—typically a large, tunnel or doughnut-shaped magnet that is open at both ends. The magnetic field aligns atomic nuclei that are present in the body's tissues. Radio waves then cause these particles to produce signals that are picked up by a receiver within the scanner. The signals are specially characterized using the changing magnetic field, and computer-processed to create very sharp images of tissues as "slices" that can be viewed in any plane or from any direction.

The powerful magnetic field of the MR system will attract ferromagnetic objects and may cause them to move suddenly and with great force. This can pose a possible risk to the patient or anyone in an object's flight path. Great care is taken to be certain that objects such as screwdrivers and oxygen tanks are not brought into the MR system area. It is vital that patients remove any metallic belongings in advance of an MRI exam, including watches, jewelry, and items of clothing that have metallic threads or fasteners.

All MR imaging systems are equipped with a set of resistive wire windings known as gradient coils, which produce the gradient magnetic field. The gradient magnetic field is a time varying magnetic field, and this property requires that different safety precautions be taken as opposed to the static magnetic field. Gradients provide position-dependent variation in magnetic field strength and are pulsed on and off during and between RF excitation pulses. The purpose of these gradients is to spatially encode information contained in the emitted RF signal. The amplitudes of these gradient magnetic fields (typically 20 mT/m) may seem small in comparison with the main static magnetic field, but the salient feature is not the strength of the field but the rate of change of field generated when the field is switched on or off. A quantity called the slew rate, which is the rate of change of gradient amplitude is usually quoted in evaluating gradient performance and potential physiological effects. Typical slew rates range from 20 to 80 T/m/s. Faster rise times of the gradient produces shorter echo spacing and better image resolution.

Use the above information and other relevant resources to examine the health and safety concerns related to the static and magnetic fields produced during an MRI exam.  Your discussion should include the effects on both ferromagnetic and non-ferromagnetic materials.  As an example, estimate the forces on a steel button if worn in the center and near the opening of an MR system.  Also evaluate the safety concerns associated with wearing a gold necklace during an MRI scan. What other physics-related insights can be learned from this biological application of magnetic fields?

References:
http://www.radiologyinfo.org/content/safety/mri_safety.htm
http://www.gasnet.org/societies/apsf/mri/mri_2_1.php
http://www.erads.com/mrsafety.htm