Answer :

AL2006
Inductive reactance (Z) = ω L  =  2Πf L = (2Π) (12,000) (L)

I = V / Z

4 A = 16v / (24,000Π L)

Multiply each side by (24,000 Π L):

96,000 Π L = 16v

Divide each side by  (96,000 Π) :

L = 16 / 96,000Π  =  5.305 x 10⁻⁵ Henry

L = 53.05 microHenry

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