A long solenoid with $15\; turns\; per\; cm $ has a small loop of area $2.0cm^2$ placed inside the solenoid normal to its axis. If the current carried by the solenoid changes steadily from $2.0 A \; to \;4.0 A $ in $0.1 S ,$ what is the induced $emf$ in the loop while the current is changing?