Self inductance of a solonoidal coil

[samblue]

Homework Statement

A long, solonoidal coil with 2000 turns produces a B field pf 3mT at its center when a current of 1A flows through the coil. If the cross sectional area of the coil is: 2*10^-3 m^-2, and the field is uniform throghout the solonoid, determine the self inductance of the oil.

A small coil, C, is now plaed in the middle of the solonoid as such that the axis of the coils concide. The coil C has 10 turns, and a cross setional area of 4*10^-5m^2. Calculate the mutual inuctance between C and the solenoid.

Homework Equations

emf=-Nd(flux demnsity)/dt

L=flux density/current

The Attempt at a Solution

Dont really have many ideas about this question. I cannot work out how I am going to be able to use the data given as I do not know the emf?
thanks

 

[samblue]

On a second though to I have to use the formula:

B=U0*NI/L

If I do why am I given the area?