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Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's 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 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small amount of current. Think about the value of the current you got in part (a). Is that a practical 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 1.03-104 A. What is the field at the center of such a loop? B = T

Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's 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 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small amount of current. Think about the value of the current you got in part (a). Is that a practical 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 1.03-104 A. What is the field at the center of such a loop? B = T

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's 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 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small amount of current. Think about the value of the current you got in part (a). Is that a practical 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 1.03-104 A. What is the field at the center of such a loop? B = T
Transcribed Image Text:Magnetic resonance imaging (MRI) is one of the most useful and rapidly growing medical imaging tools. It non-invasively produces two-dimensional and three-dimensional images of the body that provide important medical information with none of the hazards of x-rays. MRI is based on an effect called nuclear magnetic resonance (NMR) in which an externally applied magnetic field interacts with the magnetic fields of nuclei of certain atoms, particularly those of hydrogen (protons). The external magnetic field is created by a large coil. This field interacts with the hydrogen atoms in the patient's 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 420-loop-per-meter circular coil 0.66 m in radius to create a 1.3 T field (typical of an MRI instrument) at its center with no iron present. /= A Introducing ferromagnetic materials inside coils greatly increases the magntic field inside the coil for a small amount of current. Think about the value of the current you got in part (a). Is that a practical 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 1.03-104 A. What is the field at the center of such a loop? B = T
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