20.  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 body 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 0.032 m2 and a normal that is parallel to a magnetic field of 1.5 T. Determine the smallest time period during which the field can be allowed to vanish if the magnitude of the average induced emf is to be kept less than 0.010 V.

 

 

We have dropped the – sign as it is directional for the current flow which we don’t really care about.  Also the body is essentially a single wire so N is 1.  Now solve for the time

 

 

Again – sign is directional.  The shortest time the field should be allowed to collapse is

 

 

 

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This page last updated on June 24, 2018