An MRI scanner is based on a solenoid magnet that produces a large magnetic field. The magnetic field doesn't stop at the solenoid's edge, however, but extends into the area around the magnet. Suppose a technician walks toward the scanner at 0.80 m/s from a region 1.0 m from the scanner where the magnetic field is negligible, into a region next to the scanner where the field is 6.0 T and points horizontally. As a result of this motion, what is the maximum magnitude of the change in flux through a loop defined by the outside of the technician's head? Assume the loop is vertical and has a circular cross section with a diameter of 19 cm.

What is the magnitude of the average induced emf around the outside of the technician's head during the time she's moving toward the scanner?

The maximum change in  flux is

The average  induced emf    

Explanation:

   From the question we are told that

             The speed of the technician is

              The distance from the scanner is

              The  initial magnetic field is  

               The final magnetic field is

                 The diameter of the loop is  

The area of the loop is mathematically represented as

At maximum the change in magnetic field is mathematically represented as

  =>      

The  average induced emf is mathematically represented as

probably not the "magnets"in the magnet, so to speak, are thought to be electrons orbiting in shells. vurrent loops two sides to the loop

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y