Magnetic resonance imaging (MRI) is a medical technique forproducing pictures of

Question

Magnetic resonance imaging (MRI) is a medical technique forproducing pictures of the interior of the body. The patient isplaced within a strong magnetic field. One safety concern is whatwould happen to the positively and negatively charged particles inthe body fluids if an equipment failure caused the magnetic fieldto be shut off suddenly. An induced emf could cause these particlesto flow, producing an electric current within the body. Suppose thelargest surface of the body through which flux passes has an areaof 0.022 m2 and a normal thatis parallel to a magnetic field of 1.5 T.Determine the smallest time period during which the field can beallowed to vanish if the magnitude of the average induced emf is tobe kept less than 0.010 V.
1 s

Explanation / Answer

from the Faraday's Law for magnetic induction: emf=-/t=-B*Area/t 0.01=-(0-3.5)*0.024/t => t=8.4 s

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