Finding the magnetic field inside the inner solenoid

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1. The problem statement, all variables and given/known data


A 20cm long solenoid has 4000 turns of wire. Insiude this solenoid is a second on, also 20cmlong but with 2500 turns of wire. If a 2.5 A current flows in each solenoid in the same directon, what is the magnetic field inside the inner solenoid?

2. Relevant equations

See below.

3. The attempt at a solution

magnetic field = permeability x turn density x current

For a solenoid of length L 20cm with N = 2500 turns , the turn density is n= N/L = 125 turns/ m.
I=2.5 ampres.

B =0.07853981633974483 Tesla

Is this correct?

Does the Does the fact that it is one inside the other affect my calculations?
 

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