 Parallel RLC bandwidth

For the ratio of resistor-current amplitude to total-current amplitude to exceed $1/\sqrt{2}$, $|\omega C-1/(\omega L)|<1/R$. The exact positive endpoint difference is $\Delta \omega =1/(RC)$ and the quality factor is $Q=R\sqrt{C/L}$. Greater shunt resistance means weaker dissipation, unlike increasing a series resistance.