Identifying 2 Elements in an AC Circuit: R & L

[zakaqel]

Homework Statement

A circuit contains only two of the three elements L,C ,R. When connected to a 120 V , 60 HZ ac generator, the current of 6.4 A lags the voltage by 30o. What are the two elements and their values?

Homework Equations

The Attempt at a Solution

given E = 120v,
f = 60Hz,
i = 6.4A,
φ =300
From the problem current lags voltage so this is a circuit containing resistance and inductance
inthis circuit , tanφ = ωL/R
R = E/i = 120/6.4 = 18.75Ω
L = tanφR/ω = tan300*18.75/2*3.14 *60 =0.028 henry


Is this reasoning correct?

 

[LowlyPion]

The technique looks good.

I get a calculated value of .02869

I used more digits of pi.

 

[zakaqel]

Thank you so much for the help!