The definition of the magnetic flux allows us to observe how the magnetic field describes as a function of the area. Mathematically it can be expressed as
[tex]\phi = BASin\theta[/tex]
Where
B = Magnetic Field
A = Area
[tex]\theta =[/tex] Angle between the normal of the area and the magnetic field
Since the problem makes us intuit that we are talking about perpendicular surfaces we have that the angle is 90 °
Our values are given by
[tex]B = 4*10^{-5}T[/tex]
[tex]A = 10.1*10^{-4}m^2[/tex]
Replacing in our equation we have to
[tex]\phi = BASin\theta[/tex]
[tex]\phi = (4*10^{-5})(10.1*10^{-4})Sin(90)[/tex]
[tex]\phi = 4.04*10^{-8}Wb[/tex]
Therefore the magnetic flux thorugh each turn of the coil before it is rotated is [tex] 4.04*10^{-8}Wb[/tex]
NOTE: We do not use the 170 turns because the question asked us about the magnetic flux in EACH one of them.