(Solved): The figure shows a driven RLC circuit that contains two identical capacitors and two switches. The ...

The figure shows a driven RLC circuit that contains two identical capacitors and two switches. The emf amplitude is set at $12.3\mathrm{V}$, and the driving frequency is set at $58.2\mathrm{Hz}$. With both switches open, the current leads the emf by $30.6^{\circ }$. With switch ${\mathrm{S}}_1$ closed and switch ${\mathrm{S}}_2$ still open, the emf leads the current by $14.9^{\circ }$. With both switches closed, the current amplitude is $444\mathrm{mA}$. What are (a) $R$, (b) C, and (c) L?