# $Q$-factor of an $RLC$ circuit

I am given this question:

The question explicitly mentioned that I could assume that $R>>1/wC$. However, after this assumption, the energy dissipated should be 0 and, hence, $Q$ should tend to infinity. Is there something wrong with this question?

$$Z=\frac{R}{1+\omega^2C^2R^2}+j(\omega L-\frac{\omega CR^2}{1+\omega^2C^2R^2})$$
$$j(\omega L-\frac{1}{\omega C})$$
$$\frac{1}{\omega^2C^2R}$$