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!