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quest.cns.utexas.edu/student/instances/administer?instance=modulesession_ 1Link ./ Desmos | Graphing... Using Transitions X Mathway | Algebra... University of Tex Consider a person getting a Magnetic Res- onance Imaging (MRI)

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quest.cns.utexas.edu/student/instances/administer?instance=modulesession_ 1Link ./ Desmos | Graphing... Using Transitions X Mathway | Algebra... University of Tex Consider a person getting a Magnetic Res- onance Imaging (MRI) scan. The magnetic field generated by the MRI machine will point towards you and is strongest in the inner cylindrical tunnel. When the person is going into the machine, they will experience an increasing magnetic field since the field will be strongest inside the machine. By considering both Faraday's Law and Ohm's Law (V = IR), we can get a rough estimate for the current that will be generated inside the person's body. Let's simplify our analysis by assuming that the person can be represented by a square loop with a resistance R and sides of length a (as shown in the diagram below). The square loop is oriented with its plane perpendicular to the magnetic field B. X X X X Find the relationship between the rate of change of the magnitude of the magnetic field and the current I in the (person) loop? Type here to search O Rim esc Fin F1 F2 DIL F3 FA F5 F6 @ 2 5 6 tab W E Rquest.cns.utexas.edu/student/instances/administer?instance=modulesession_ 1Link ./ Desmos | Graphing... Using Transitions X Mathway | Algebra... University of Tex Consider a person getting a Magnetic Res- onance Imaging (MRI) scan. The magnetic field generated by the MRI machine will point towards you and is strongest in the inner cylindrical tunnel. When the person is going into the machine, they will experience an increasing magnetic field since the field will be strongest inside the machine. By considering both Faraday's Law and Ohm's Law (V = IR), we can get a rough estimate for the current that will be generated inside the person's body. Let's simplify our analysis by assuming that the person can be represented by a square loop with a resistance R and sides of length a (as shown in the diagram below). The square loop is oriented with its plane perpendicular to the magnetic field B. X X X X Find the relationship between the rate of change of the magnitude of the magnetic field and the current I in the (person) loop? Type here to search O Rim esc Fin F1 F2 DIL F3 FA F5 F6 @ 2 5 6 tab W E R

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