Scientists studying an anomalous magnetic field find that it is inducing a circular electric field in a plane perpendicular to the magnetic field. The electric field strength 1.5 m from the center of the circle is 3.5 mV/m. At what rate is the magnetic field changing?

Answer

The rate at which the magnetic field is changing is  

Explanation

From the question we are told that

   The electric field strength is

    The radius is  

The rate of change of the  magnetic  field  is mathematically represented as

Where is change of a unit length

Where A is the area which is mathematically represented as

    So

where L is the circumference of the circle which is mathematically represented as

So

substituting values