How Quickly Can an MRI's Magnetic Field Be Safely Altered?

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SUMMARY

The discussion focuses on the safe alteration of an MRI's magnetic field, specifically addressing the time interval required to turn a 5.5 T magnetic field on or off while keeping the induced electromotive force (emf) below 9.0×10−2 V. The magnetic flux (Φ) is calculated using the formula Φ = B × A, where B is the magnetic flux density and A is the cross-sectional area. Given a maximum cross-sectional area of 6.8×10−2 m², the smallest time interval can be determined by rearranging the induced emf formula, which states that emf equals the rate of change of magnetic flux over time.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the concepts of magnetic flux and magnetic flux density
  • Basic knowledge of calculus for rate of change calculations
  • Experience with MRI technology and safety protocols
NEXT STEPS
  • Calculate the smallest time interval for varying magnetic field strengths
  • Explore the implications of induced emf in medical imaging
  • Research safety standards for MRI operations
  • Learn about the effects of rapid magnetic field changes on biological tissues
USEFUL FOR

Medical physicists, MRI technicians, and safety officers in healthcare settings who are involved in MRI operation and patient safety protocols.

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Homework Statement



One possible concern with MRI (magnetic resonance imaging) is turning the magnetic field on or off too quickly. Bodily fluids are conductors, and a changing magnetic field could cause electric currents to flow through the patient. Suppose a typical patient has a maximum cross-section area of 6.8×10−2 m^2.

What is the smallest time interval in which a 5.5 T magnetic field can be turned on or off if the induced emf around the patient's body must be kept to less than 9.0×10−2 V?

Homework Equations


No idea


The Attempt at a Solution



Last problem on my assignment, I have no idea where to even start with this one.
 
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Magnetic flux (Phi) = Magentic flux density (B) x area of cross section (A)

Induced emf = rate of change of magnetic flux, i.e. Phi/time

so, in other words, since you have the Magnetic flux density (5.5 T), the area of cross section (6.8×10−2 m^2), and the emf that is limited to 9.0×10−2 V, you can easily find the smallest time interval, as any smaller would give an emf larger than the specified.

Hope that was of help, if it has not been too late to answer this question.
 

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