What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2 A

Complete Question  

A very long, straight solenoid with a cross-sectional area of 2.39cm2 is wound with 85.7 turns of wire per centimeter. Starting at t= 0, the current in the solenoid is increasing according to i(t)=( 0.162A/s2) t2. A secondary winding of 5 turns encircles the solenoid at its center, such that the secondary winding has the same cross-sectional area as the solenoid. What is the magnitude of the emf induced in the secondary winding at the instant that the current in the solenoid is 3.2A ?

The value  is

Explanation:

From the question we are told that

    The  cross-sectional area is  

    The  number of turns is  

    The initial time is  t = 0s

    The  current on the solenoid  is

     The number of turns of the secondary winding is  

Generally At I =  3.2 A

=>      

=>        

Generally induced emf is mathematically represented as

none, its a machine