STATIC FIELDS
- Which of the following statements about ferromagnetism is false?
- By definition all ferromagnetic materials must contain at least some iron.
- Ferromagnetism results when electron spins in magnetic domains align.
- As a ferromagnetic substance becomes magnetized, the magnetic domains change in size and shape.
- Hard ferromagnetic materials retain appreciable magnetization when removed from an external magnetic field.
Notwithstanding the name, ferromagnetic materials do not need to contain iron; they only need to form magnetic domains with the capacity to become magnetized. Nickel, cobalt, chromium, manganese, and several rare earth elements and their alloys are ferromagnetic. Hence a) is false. Statements b), c), and d) are true. Link to Q&A discussion
- Which of the following metals is not considered ferromagnetic?
- Nickel
- Cobalt
- Chromium
- Magnesium
Manganese, but not magnesium (d), is ferromagnetic. Link to Q&A discussion
- Concerning stainless steels, which of the following is false?
- 400 series stainless steels are ferromagnetic, while 300 series are non-magnetic.
- Austenitic stainless steels are ferromagnetic, while martensitic stainless steels are non-magnetic.
- Since 1990 the FDA has required all steel implants to be made of non-ferromagnetic stainless steel.
- Even non-ferromagnetic stainless steel can develop ferromagnetic properties if bent or stretched during machine working.
Answer a) is true but b) is false because the names have been reversed: martensitic (= 400 series) steels are ferromagnetic, while austenitic (= 300 series) steels are non-magnetic. Both c) and d) are true. Link to Q&A discussion
- Concerning magnetic saturation, which statement is false?
- Nearly all iron alloys saturate in the range of 1-2 Tesla.
- All ferromagnetic materials become saturated in a 3.0T field.
- It is impossible to create a permanent iron magnet having a field greater than 2.5 Tesla.
- The maximum strength of a permanent magnet is independent of its saturation point.
Option d) is false. The saturation point limits the maximum attainable strength of a permanent magnet or iron core electromagnet, which in most cases is well below 2 Tesla. Answers a)-c) are true Link to Q&A discussion
- An implant made of which of the following materials could pose a safety risk because of ferromagnetic properties:
- Platinum
- Nitinol (Ni-Titanium alloy)
- Silicon steel
- Gold
Answer c), silicon steel, is highly ferromagnetic and unsuitable as an implant material. The others are essentially non-magnetic (platinum and Nitinol mildly paramagnetic, gold mildly diamagnetic) Link to Q&A discussion
- Which of the following rare earth elements is commonly used to make room temperature permanent magnets?
- Neodymium
- Magnetodynium
- Holmium
- Dysprosium
Neodymium (a) doped with iron and boron is commonly used as a base for room temperature permanent magnets, as is samarium-cobalt. Holmium and dysprosium are highly ferromagnetic below 20 ºK but lose this property at higher temperatures. Choice b), magnetodynium, is not an element! Link to Q&A discussion
- Which metal or alloy in the list below would be expected to produce the largest susceptibility artifact on gradient-echo imaging?
- Lead
- Copper
- Aluminum
- Nitinol (Ni-Ti alloy)
Nitinol, answer d) has the largest magnetic susceptibility due to its nickel content and would produce the largest artifact. Link to Q&A discussion
- Concerning the hysteresis curve for a ferromagnetic material, which of the following is true?
- The curves for a material changes after its first time exposure to an external field.
- Coercivity is the magnetization that remains once the external field has been removed
- Reversing the direction of the magnetic field cannot reverse the magnetization.
- The hysteresis curves for a hard ferromagnetic material have small coercivities.
Only a) is true. A “virgin” material (i.e. one never exposed to a large external field) begins with zero or minimal internal magnetization, that grows to a maximum (the saturation value) as the external field is applied. When this field is removed, the magnetization generally does not return to zero but remains at a positive value - the remanence - not “coercivity” as falsely stated in b). Reversing the external field can reverse the magnetization as long as it has magnitude greater than the coercivity value (answer c is false). Hard ferromagnetic materials are difficult to demagnetize, with very wide hysteresis curves and hence large coercivities (answer d is false). Link to Q&A discussion
- Concerning demagnetizing fields, which statement is false?
- The demagnetizing fields for diamagnetic and paramagnetic materials are so small that they may effectively be disregarded.
- The demagnetizing field (D) points in the opposite direction to the magnetization (M)
- The demagnetizing field (D) points in the opposite direction to the external field (Bo)
- The demagnetizing field (D) increases the net magnetic field inside an object.
Answer d is false. The demagnetizing field, by opposing M and B, decreases the net magnetic field inside an object. Link to Q&A discussion
- Concerning the effects of demagnetizing fields, which statement is false?
- Demagnetizing fields increase the apparent magnetic susceptibility of weakly ferromagnetic objects.
- The apparent susceptibility of an object made of a strongly ferromagnetic material primarily depends on its shape, not its specific composition.
- Demagnetizing fields in ferromagnetic materials reduce the size of the external field needed to achieve magnetic saturation.
- Demagnetizing factors are dimensionless numbers between 0 and 1.
All statements are true except a). Demagnetizing fields decrease the apparent magnetic susceptibility of weakly ferromagnetic objects. Link to Q&A discussion
- A person with a steel BB lodged in his eye approaches a 3.0T MR scanner. Assuming the low-carbon steel of which it is made has a saturation value Bsat = 1.5T and because it is spherical, it has a demagnetization factor (N) of 1/3 in each direction, calculate the fringe external field (Bext) where the BB would become magnetically saturated.
- 0.5 T
- 1.0 T
- 1.5 T
- 3.0 T
The external field which produces magnetic saturation is given by the equation Bext= N • Bsat. For the case of the BB, Bext= 1/3 • 1.5T = 0.5T (answer a) Link to Q&A discussion
- Which of the following shaped materials would have the largest demagnetizing factor (N) along the direction of the main magnetic field?
- A sphere
- A flat plate facing the main field
- A flat plate parallel to the main field
- An elongated cylinder pointing in the direction of the main field
A flat plate oriented en face to the direction of the main field would have virtual poles very close together and hence produce a strong demagnetizing effect. N would therefore be close to 1.0, the maximum possible value for any shaped object, so answer b) is correct. Link to Q&A discussion
- Mathematical analysis of predicted magnetic forces on metal objects often uses models based on
- Spheres
- Long tubes
- Ellipsoids
- Flat sheets
Answer c), ellipsoids, is correct. By changing the length, angulation, and diameter parameters, an ellipsoid can be approximately deformed into one of the other shapes. And ellipsoids admit to a closed-form mathematical solution in many cases. Link to Q&A discussion
- Translational force on an unsaturated metal object brought near a cylindrical bore MR scanner is maximal
- When first entering the door of the MR scanner room
- At scanner isocenter in the middle of the bore
- At scanner isocenter at the edge of the bore
- Just inside the edge of the magnet bore opening
Translational force is proportional to the local field (B) multiplied by its spatial rate of change (dB/dz), a combined entity known as the spatial gradient product (SGP). The SGP is strongest near the edges of the magnet bore opening, making this the most powerful place for translational forces (answer d is correct). At the magnet isocenter, however, dB/dz ≈ 0, so surprisingly there is no translational force once the object reaches the center of the magnet. Link to Q&A discussion
- The torque on an unsaturated metal object brought near a cylindrical bore MR scanner is maximal
- When first entering the door of the MR scanner room
- At scanner isocenter in the middle of the bore
- At scanner isocenter at the edge of the bore
- Just inside the edge of the magnet bore opening
This is a somewhat of a trick question. The answer is actually d), at a location slightly more posterior to the that of the spatial gradient or spatial gradient product. For an unsaturated object, torque is proportional to the square of the magnetic field (B²). So the torque is maximal where B is greatest. Most people assume this is in the center of the scanner, but for cylindrical magnets the local field is perhaps 10-20% higher just inside the bore opening along the inside walls of the scanner. The correct answer is therefore d), at a location slightly more posterior to the that of the spatial gradient or spatial gradient product maximal where the magnetic field (B) is strongest. Link to Q&A discussion
- Where is the force on an unsaturated metal object the smallest?
- Only exactly at scanner isocenter
- At the majority of places inside the magnet bore where the static field is homogeneous
- Just inside the edge of the scanner bore opening
- One meter from the scanner bore opening
The correct answer is b. Translational force is minimized when the spatial gradient (dB/dz) is minimal. Since modern scanners are highly homogeneous, most sites within the main bore of the magnet have dB/dz = 0 and thus produce no translational forces. Link to Q&A discussion
- A steel wrench is inadvertently brought into the room housing a self-shielded 1.5 T scanner. Which statement is true about the magnetic torque on the wrench?
- The torque is maximal when the wrench is held upright and perpendicular to the main magnetic field.
- The torque is maximal when the wrench is tilted at 45º toward the field.
- The torque is maximal when the wrench is turned to be parallel to the field.
- The exact shape or position of the wrench makes no difference on the torque, only its mass.
Answer b) is true. The torque of an unsaturated elongated object depends on sin 2θ, where θ is the angle made with the external field. This is maximal when θ = 45º Link to Q&A discussion
- When a metal object becomes magnetically saturated by an external field (B), which of the following is false?
- The displacement force is independent of B.
- The displacement force is independent of dB/dz.
- The torque is independent of B.
- The torque is independent of the object’s angulation (θ) with respect to B.
Only d) is false. Torque remains proportional to sin 2θ but independent of B. Displacement force is independent of both B and dB/dz. Link to Q&A discussion
- The (Spatial Gradient Product) is defined as the (Static Field Strength) times the (Spatial Gradient of the Static Field) at each point in space. The units of Spatial Gradient Product are
- Tesla
- Tesla/meter
- Tesla/meter²
- Tesla²/meter
The static field (T) times the spatial gradient (T/m) gives the units of SGP as T²/m, so answer d) is correct. Link to Q&A discussion
- For a typical cylindrical MR scanner, the location of the maximum Spatial Gradient Product is
- In the middle of the bore at magnet isocenter
- Against the wall of the bore at magnet isocenter
- In the middle of the bore opening
- Along the wall at the bore opening
Both the SGP and SG are maximal along the wall of the bore opening and usually quite close together. (Answer d). This region is would exert the strongest displacement force on a metallic object. Link to Q&A discussion
- A small metallic object is being tested for translational forces by suspending it from a string at the edge of the scanner bore opening using the ASTM method. The hanging object deflects the string by 40º from the vertical. Which of the following conclusions is incorrect?
- The ASTM would state that the risk imposed by magnetic force is no greater than that of the earth’s gravity.
- The ASTM would declare this object to be MR Conditional.
- The ASTM would declare this object to be MR Unsafe.
- The ASTM would declare this object to be MR Safe.
Because the object did not deflect more than 45º, the deflection force is less than the device’s weight. So by ASTM criteria any risk imposed by the application of the magnetically-induced deflection force is no greater than any risk imposed by normal daily activity in the Earth’s gravitational field. Thus answer a) is correct. The definitions of MR Safe, Unsafe, and Conditional are based on multiple factors (i.e., heating, torque) beyond that available from this simple displacement test. Link to Q&A discussion
- Concerning the Lorentz force, which of the following is true?
- It is the force is experienced by charged particles moving through an electric field.
- It is responsible for T-wave changes on an EKG
- It is responsible for magnetophosphenes and taste disturbances in 7T scanners.
- It is responsible for the stacking up of sickle cell erythrocytes in a magnetic field.
Only b) is true. This describes the magneto-hydrodynamic (MHD) effect, which is a change in recorded EKG voltages due to displacement of positive and negative ions in the descending aorta due to Lorentz forces. The other choices are false. The Lorentz force is due to particles moving through a magnetic (not electric) field. Magnetophophenes and taste disturbances are due to induced currents per the Faraday-Lenz law. The stacking of sickled red blood cells is a type of susceptibility-induced force. Link to Q&A discussion
- Which of the following concerning MR-related dizziness and vertigo is false?
- It is much more common at 7T than 3T.
- It is likely due to a Lorentz force acting on endolymphic ionic currents.
- It is exacerbated by rapid head or table motion.
- It is most severe and persistent when the patient’s head reaches magnet isocenter.
Answer d) is false. Dizziness/vertigo is typically most severe when the patient is pulled in or out of the magnet bore through the gantry entrance. Once the patient’s head is at isocenter, the vertiginous symptoms and nystagmus decrease after about a minute (unless the patient wiggles her head). Link to Q&A discussion
- Concerning magnetophosphenes, which statement is false?
- They are much more common at 7T than 3T.
- They are caused by electric field stimulation of the optic nerve.
- Technologists walking around the scanner may experience them.
- They are exacerbated by rapid head or table motion
Answer b) is false. Magnetophosphenes are generated by electric fields of very low frequency and magnitude acting on retinal cells directly, not the optic nerve. The other statements are true. Link to Q&A discussion
- Concerning metallic taste sensations during MRI, which of the following is false?
- Their mechanism of generation is similar to that of magnetophosphenes.
- They are related to release of ions from metallic dental fillings.
- They are much more common at 7T than 3T.
- They are much less common than vertigo or magnetophosphenes.
The phenomenon occurs in patients without dental fillings, so answer b) is false. Link to Q&A discussion