Answer:
N=119.34 turns
Explanation:
The magnetic field of a solenoid is calculated using the formula:
B= µo*[tex]\frac{I*N}{L}[/tex] Equation 1
Where:
B: magnetic field in Teslas (T)
µo: free space permeability in T*m/A
I= Intensity of the current flowing through the conductor in ampere (A)
N= number of turns
L= solenoid length in meters (m)
Data of the problem:
L=10cm=[tex]10*10^{-2}[/tex], B= 1.5mT=[tex]1.5*10^{-3} T[/tex] ,I=1A
µo=[tex]4\pi *10^{-7} \frac{T*m}{A}[/tex]
We cleared N of the equation (1):
N=B*L/ µo*I
N= [tex](1.5*10^{-3} *10*10^{-2} )/(4\pi *10^{-7} *1[/tex]
[tex]N=0.1193*10^{3}[/tex]
Answer
N=119.34 turns
