Consider a clinical MRI (magnetic resonance imaging) superconducting magnet that has a diameter of 1.27 m, length of 1.03 m, and a uniform magnetic field of 3.79 T.  a) Determine the energy density of the magnetic field.  J/m3J/m3  b) Determine the total energy in the solenoid.  J

Magnetic resonance imaging (MRI) is a common non-invasive medical imaging method with high resolution and soft tissue contrast.  The main component of an MRI scanner is a very strong superconducting magnet with the magnetic field strength measured in Teslas (T).  The magnet resembles a large pipe, 1.25 m long, open on both ends, with a bore diameter of 0.6 m.The magnetic field is generated by an electric current flowing in coils of superconducting wire.  The superconductor is cooled to 4 K with liquid helium and has zero electrical resistance.  Liquid helium that boils out of the MRI scanner is stored in a collection system, cooled back into a liquid, and returned to the MRI scanner.During imaging, the MRI scanner generates rapid magnetic field oscillations that cause vibrations and loud sounds.  Researchers measured the sounds of MRI at different magnetic field strengths and compared them to common noise sources.  Table 1 lists the sound intensity in decibels (dB) and predominant frequency for these sounds.Table 1  Sound Intensity and Predominant Frequency from Different Noise SourcesThe noise frequencies were determined using frequency selective RC circuits with a resistor R and capacitor C in series.  Sounds with frequencies above the cutoff frequency fc of the circuit were suppressed.  The value of fc in Hz was calculated with Equation 1.fc=12πRC𝑓c=12𝜋RCEquation 1MRI can be combined with another imaging method, positron emission tomography (PET), to detect cancer.  PET imaging maps the uptake of a radioactive metabolite.  The radioactive decay emits a positron that annihilates with an electron and forms gamma rays that are imaged by the scanner. Question 52According to the data in Table 1, which of the following makes noise at a frequency that resonates in the bore of an MRI magnet?  (Note:  The speed of sound in air is 350 m/s.)A.1.0 T MRIB.1.5 T MRIC.3.0 T MRID.Gas lawnmower

Magnetic resonance imaging needs a magnetic field strength of approximately 1.87 T. They use a solenoid that is tightly wound, has a length of 2.80 m, and diameter 65.0 cm. The wire that makes up the solenoid has a diameter of 6.70 mm. To get the necessary magnetic field, what current is required? 9.67×104 A 9.97×103 A 4.17×106 A 1.74×109 A

Describe the magnetic field of a solenoid.

The strength of magnetic field inside a long current carryingstraight solenoid is(a) more at the ends than at the centre(b) minimum in the middle(c) same at all points(d) found to increase from one end to the other

A magnetar (magnetic neutron star) has a magnetic field near its surface of magnitude 2.45⋅ 1010 T2.45· 1010 T . a) Calculate the energy density of this magnetic field.  × 1025 J/m3× 1025 J/m3  b) The Special Theory of Relativity associates energy with any mass m at rest according to E0 = mc2𝐸0 = 𝑚𝑐2 (more on this in Chapter 35). Find the rest mass density associated with the energy density of part (a).  × 109 kg/m3× 109 kg/m3