Given : supply voltage = 120V;60 Hz
Inductive Reactance [tex](X_{L}) = 40[/tex] Ω
The inductive reactance is given by the formula, [tex]X_{L}=Lw[/tex], where L is inductance and [tex]w[/tex] is given by formula, [tex]w = 2\pi(frequency)[/tex]
Apply this, we can say that, [tex]L = \frac{X_{L}}{2\pi (frequency)} = \frac{40}{2(3.14)(60)} = 0.106157 H = 106.157 mH[/tex]
