A long, thin solenoid has 450 turns per meter and a radius of 1.17 cm. The current in the solenoid is increasing at a uniform rate did. The magnitude of the induced electric field at a point which is near the center of the solenoid and a distance of 3.45 cm from its axis is 8.20×10−6 V/m. Calculate di/dt
di/dt = .

Explanation:

From the question we are told that  

     The  number of turns is  

      The  radius is  

       The  position from the center consider is  x =  3.45 cm  =  0.0345 m

       The  induced emf is  

Generally according to Gauss law

=>    

Where A is the  cross-sectional area of the solenoid which is mathematically represented as

=>      

=>       ggl;

Here   is the permeability of free space with value

=>    

=>