Complex impedance and negative reactance

[eng_stud]

Homework Statement

consider a circuit expressed by v(t)= 100cos \omega t
and i(t)=2cos(\omega t+\pi / 3) .

Find the reactance.

Homework Equations

Z=\frac{V}{I} = R+jX

The Attempt at a Solution

Z=\frac{100}{2\angle \pi /3} = 50\angle -\pi /3 = 46 - j19

Does the negative imaginary part mean there is simply more reactance from the capacitor than inductor? Or *only* cap?

thanks!

 

[rootX]

There is not sufficient information to find if there is only capacitor or there is more capacitive inductance than inductive.

 

[eng_stud]

That makes sense, thank you!