Faraday's Law

The EMF around a closed path is equal to the negative of the time rate of change of the magnetic Flux enclosed by the path. Accordingly, a Solenoid with total turns will have an EMF times as large as that induced by just one of its loops: Of a rotating loop with total turns and angular velocity :

Stationary Faraday’s Law

If the path is stationary: Inside a Solenoid: