Magnetic resonance imaging (MRI) is a medical technique for producing "pictures" of the interior of the body. The patient is placed within a strong magnetic field. One safety concern is what would happen to the positively and negatively charged particles in the bod fluids if an equipment failure caused the magnetic field to be shut off suddenly. An induced emf could cause these particles to flow, producing an electric current within the body. Suppose the largest surface of the body through which flux passes has an area of 0.041 m² and a normal that is parallel to a magnetic field of 1.4 T. Determine the smallest time period during which the field can be allowed t vanish if the magnitude of the average induced emf is to be kept less than 0.013 V. B (out of screen)

Magnetic resonance imaging (MRI) is a medical technique for producing "pictures" of the interior of the body. The patient is placed within a strong magnetic field. One safety concern is what would happen to the positively and negatively charged particles in the bod fluids if an equipment failure caused the magnetic field to be shut off suddenly. An induced emf could cause these particles to flow, producing an electric current within the body. Suppose the largest surface of the body through which flux passes has an area of 0.041 m² and a normal that is parallel to a magnetic field of 1.4 T. Determine the smallest time period during which the field can be allowed t vanish if the magnitude of the average induced emf is to be kept less than 0.013 V. B (out of screen)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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Concept explainers

Ferromagnetism

Ferromagnetism is a mechanism by which some materials show magnetic properties. Iron and magnetite, an oxide of iron, are two naturally occurring materials that show the property of ferromagnetism. The word ferromagnetism is derived from the Latin name of iron, "Ferrum" as it was the first observed material to show such property. The property of ferromagnetism is shown by only a few substances such as iron, nickel, cobalt, and their alloys. Some transition metals and alloys of rare-earth metals also show ferromagnetism.

Question

### Understanding the Implications of Magnetic Resonance Imaging (MRI) on Body Currents

Magnetic Resonance Imaging (MRI) is a medical technique used to produce images of the interior of the body. This process involves placing the patient within a strong magnetic field. A key safety concern in this procedure is the behavior of charged particles in body fluids if the magnetic field is abruptly turned off due to equipment failure. The sudden interruption can induce an electromotive force (emf), which might cause currents to flow within the body.

#### Hypothetical Scenario

Suppose the largest surface of the body through which magnetic flux passes has an area of 0.041 square meters, and the surface normal (perpendicular) is aligned with a magnetic field strength of 1.4 Tesla. The task is to determine the minimum time period during which the magnetic field can be decreased to prevent the average induced emf from exceeding 0.013 volts.

#### Diagram Explanation

The accompanying diagram illustrates:
- A human figure representing the body exposed to the magnetic field.
- The vector **B** (indicating the magnetic field direction, out of the screen), affecting the body.
- Points labeled on the body (e.g., A), which represent various points through which magnetic flux might pass.

This scenario is critical for understanding the physiological impacts and ensuring safety in MRI applications. Calculating the time constraints for reducing field strength without exceeding safety thresholds for induced currents can help mitigate potential risks.

This explanation aids in grasping the complex interplay between magnetic fields and induced currents in medical imaging technology.

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