How to Find the Induced EMF in a Coil Surrounding a Solenoid?

[stryker123]

Homework Statement

A coil of 15 turns and radius 10cm surrounds a long solenoid of radius 2cm and 1x10^3 turns/m. The current in the solenoid changes as I = (5A)sin(120t). Find the induced emf in the 15-turn coil as a function of time.

Homework Equations

emf = -Nd[flux]/dt

d[flux] = int[B*dA]

The Attempt at a Solution

I have no idea how to start this. I tried doing some basic problems, but I just do not understand any of it.

 

[Doc Al]

What's the magnetic field inside a solenoid? What magnetic flux passes through the coil?

 

[Ithryndil]

Never mind, I posted my own thread.

 

[cepheid]

What is the difference between a coil and a solenoid? (I'm asking the question seriously).

 

[nasu]

What is the difference between a coil and a solenoid? (I'm asking the question seriously).

For this problem:

COIL

Solenoid

In general people may (and will) say "coil" for the second case too.

 

[wdednam]

Did you consider using the mutual inductance of the coil-solenoid system?

I have a theory question for you that might help to get you started on this problem:

What special characteristic of Mutual inductance helps us to quickly and easily solve problems like this?

Good luck,

Wynand.