An AC source is connected to an inductance of 100 mH , a capacitance of $100 \mu \mathrm{~F}$ and a resistance of $120 \Omega$ as shown in figure. The time in which the resistance having a thermal capacity $2 \mathrm{~J}^{\circ} / \mathrm{C}$ will get heated by $16^{\circ} \mathrm{C}$ is $\_\_\_\_$ s.