2 solenoids: emf and frequency

[bznm]

I'm studying a circuit in AC. I use a function generator and set a waveform. I have a solenoid and I put a small solenoid inner it. Could you tell me if there is a relation between frequency and emf inducted on the second solenoid?

 

[berkeman]

I'm studying a circuit in AC. I use a function generator and set a waveform. I have a solenoid and I put a small solenoid inner it. Could you tell me if there is a relation between frequency and emf inducted on the second solenoid?

What you describe is basically a loosely-coupled transformer. That is, a transformer with a coupling coefficient K less than 1. The frequency out will equal the frequency in. The voltage on the secondary solenoid will depend on the value of the coupling coefficient K.

See for example: http://www.tpub.com/neets/book2/5f.htm