body to form images. a) To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 400-loop-per-meter circular coil 0.665 m in radius to create a 1.1 T field (typica an MRI instrument) at its center with no iron present. 1= ✔A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil a small amount of current. Think about the value of the current you got in part (a). Is that a practic value of current to use? (b) MRIs utilize the magnetic fields of protons. The magnetic field of a proton is approximately like that of a circular current loop 6.5-10-16 m in radius carrying 1.05 104 A. What is the field at the center of such a loop? B= T

body to form images. a) To see why an MRI utilizes iron to increase the magnetic field created by a coil, calculate the current needed in a 400-loop-per-meter circular coil 0.665 m in radius to create a 1.1 T field (typica an MRI instrument) at its center with no iron present. 1= ✔A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil a small amount of current. Think about the value of the current you got in part (a). Is that a practic value of current to use? (b) MRIs utilize the magnetic fields of protons. The magnetic field of a proton is approximately like that of a circular current loop 6.5-10-16 m in radius carrying 1.05 104 A. What is the field at the center of such a loop? B= T

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Nuclear Physics

Section: Chapter Questions

Problem 3P

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Ancient Meat Eating. The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes 15N to 14N in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists how much meat was consumed. For a mass spectrometer that has a path radius of 12.5 cm for 12C ions (mass 1.99 * 10-26 kg), find the separation of the 14N (mass 2.32 * 10-26 kg) and 15N (mass 2.49 * 10-26 kg) isotopes at the detector.
Some types of MRI can produce images of resolution and detail similar to PET. Though the images are similar, MRI is generally preferred over PET for studies of brain function involving healthy subjects. Why?
An Iron-Nickel sample from a meteorite was placed into a velocity selector and mass spectrometer. Experimenters expect 3 primary isotopes: 56FE, 58Nİ, & 60NI. Positive ions are accelerated by an applied potential (AV) of 3300 Volts which is the same potential difference used to create the electric field in the velocity selector, where d is 1.1 cm. 1. On the figure provided, in the velocity selector region, (A) draw the direction of the electric field. (B) Draw the necessary corresponding magnetic field to produce a velocity selector in the velocity selector region and, assuming the magnetic field is the same in the mass spectrometer, the mass spectrometer region. (C) Draw the approximate path for a positive ions within the mass spectrometer region. VELOLITY SELECTOR 2. Assuming the velocity selector is designed for singly- charged 58Ni, what must be the average magnetic field in this region? Assume our velocity selector is a bit leaky and lets the other 2 isotopes through to the mass…
Suppose you want to identify a bunch of particles using mass spectrometer. First, they are ionized with charge q= +1.6e-19 C. Then the particles pass through the velocity selector with a speed v= 6.7e6 m/s and enters a magnetic field B= 1.4 T. If they hit the detector 0.4 m away from the entry opening, what kind of particle are they? Options are: A. Deuterium (m= 3.34e-27 kg) B. Proton (m= 1.67e-27 kg) C. Helium 4 (m= 6.65e-27 kg) D. Beryllium 8 (m= 13.3e-27 kg)
An lithium nucleus has a velocity of v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j and travels through a region of space with a uniform magnetic field of B = (0.667 T) k This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg (a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure to calculate the magnitude and angle of the velocity first) (b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path? (c) What is the period of the orbit?
Exercice 70: Medical cyclotrons used for proton therapy have output energies of at least 70MEV. (a) If we want to design such a device with a radius of 1 m, what magnetic field is required? Ignore the relativistic effects. (b) What is the minimum number of revolutions required if the supply voltage is 100 kV? (c) How long do protons stay in the device Answer: (a) 0.827 T; (b) 350 ; (c) 2.77 x 10-5s Please show steps, formulas and explanation for my own understanding. Thank you
What type of energy operates the MRI? Mechanical or Electromagnetic energy? And and what are the “path”(transformation ) it will have to take from its source to be useful to the operation of MRI?
Discuss how magnetic properties were employed in the operations of MRI, Superconducting Quantum Interference Device (SQUID) and Large Hadron Collider (LHC)
I have a 7 question final exam and all of questions bond to each other. Can you help me solving them? And you need to use the constants on the second image. This is the first one and second one. Please help me The mass difference between two isotopes is sometimes just a neutron mass. The spectrometer should separate them very well. For such an isotope combination, the difference in radius should be around 1 cm. That is . In order to achieve this, choose a magnetic field with a magnitude in Tesla (maximum magnetic field you can obtain from a conventional magnet is around 2.5 T so be far away from this value) and choose the direction also. Then determine the velocity of isotope you need. Last calculate radius r of a smallest isotope. In order to produce this magnetic field, determine the current and number of turns, radius and other parameters of a solenoid you need. Also show how you will position this solenoid.
Certain stars are thought to collapse at the end of their lives, combining their protons and electrons to form a neutron star. Such a star could be thought of as a giant atomic nucleus. If a star with a mass equal to that of the sun (of mass 1.99 × 10°0 kg) were to collapse into neutrons, what would be the radius of the star? Answer in units of m.
Station 4 1. A mass spectrometer can be used to identify unknown particles. A particle with a charge of 1.6 x 1019 was injected at a speed of 1.5 x 10° m/s in a circular path of radius 6.5 cm. The spectrometer's magnetic field is perpendicular to the particle path and has a magnitude of 0.25 T. a. Using the table below, what is the identity of the unknown particle? Isotope m (kg) Hydrogen 1.7 x 1027 Deuterium 3.4 x 1027 Tritium 5.0 x 1027
Electrons and positrons are produced by the nuclear transformations of protons and neutrons known as beta decay. (a) If a proton transforms into a neutron, is an electron or a positron produced? (b) If a neutron transforms into a proton, is an electron or a positron produced?