Shuffling Off This Mortal Coil

The questions below are due on Tuesday November 12, 2024; 10:00:00 PM.
 
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Consider the circuit below:

If L = 1{\rm mH} and V(t) is a cosine with a frequency of 40{\rm kHz} and an amplitude of 1{\rm V}, we observe that the resulting current waveform i_{\rm L}(t) has the form i_{\rm L}(t) = 1{\rm mA}\times \cos(\omega t + \phi).

From this information, deduce the values of R, \omega, and \phi. Enter each answer as a single number accurate to within 10^{-3}.

\omega (in radians/sec) \approx~

R (in Ohms) \approx~

\phi (in radians) \approx~