I want to calculate the Inductance of the Coil but I seem to be having difficulty understanding if the Resistance of the coil has any bearing on the calculations.

I have attempted the Math below with an explanation of my dilema.

I first calculated XL

XL= V/I

XL= 110/8 = 13.8Ω

L = XL/2(pi)f

= 13.8/314

L = .044H

Now to verify, if I calculate 2(pi)fL to get XL I get

6.28 X 50 X .044

XL=13.8 Which corresponds to above.

My misunderstanding is that in the First equation XL= V/I.

Doesn't this give the Total Impedance Z @ 50Hz & not just the XL of the coil, it has the 10Ω resistance included giving ZT & not XL to be used in the equations to find L.

Are my equations correct to find L?

Cheers