An ac generator with Em$=211$V and operating at $409$Hz causes oscillations in a series RLC circuit having R$=229,$ L$=154$mH$,$ and C$=23\mathrm{.}9$F$.$ Find $($a$)$ the capacitive reactance XC$,($b$)$ the impedance Z$,$ and $($c$)$ the current amplitude I. A second capacitor of the same capacitance is then connected in series with the other components. Determine whether the values of $($d$)$ XC$,($e$)$ Z$,$ and $($f$)$ increase, decrease, or remain the same.