Finding the magnetic field inside the inner solenoid

[jersey]

Homework Statement

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?

Homework Equations

See below.

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?

 

[KataKoniK]

Your calculation for the magnetic field inside the inner solenoid is correct. However, the fact that one solenoid is inside the other does not affect your calculation. The magnetic field inside the inner solenoid is determined by the number of turns and the current flowing through it, regardless of the presence of another solenoid.