Answer:
The number of turns is 64449395
Step-by-step explanation:
The expression for the solenoid formula is stated below, and it is what we are going to use to solve for the number of turns
B= μ₀nl
where B= magnetic field
μ₀= permeability , 4π × 10⁻⁷ Henry
n= number of turns
l= length of coil
Given data
current I= 2 mA
length L= 1.4 cm to meter we have 0.014
magnetic field B= 0.162 T
From the expression we can make n subject of formula we have
n=B/μ₀l
Substituting we have
n= 0.162/4π × 10⁻⁷*2*10^-3
n= 0.162/8π × 10^⁻10
n= 0.162/2.5136*10^-9
n= 64449395