Early in 1981 the Francis Bitter National Magnet Laboratory at M. I.T. commenced operation of a 3.3 cm diameter cylindrical magnet, which produces a 30 T field, then the world's largest steady-state field. The field can be varied sinusoidally between the limits of 29.6 and 30.0 T at a frequency of 15 Hz. When this is done, what is the maximum value of the induced electric field at a radial distance of 1.4 cm from the axis

The maximum electric field

Explanation:

From the question we are told that

       The diameter is  

         The magnetic field  of the cylinder is

           The frequency is  

            The radial distance is  

This magnetic field can be represented mathematically as

 The initial magnetic field is the average between the variation of the magnetic field which is represented as

Then is the amplitude of the  resultant  field is mathematically evaluated as

The electric field induced can be represented mathematically as

At maximum electric field