Consider the RLC circuit shown below connected to a voltage

source of value V$\_(1)=10$cos$(\backslash$omega $\_(1)$t$)$V$.$ The values of the components

are: R$=50$Ohms;C$=1\backslash$mu F;L$=10$mH$.\backslash$omega $\_(1)=10^(5)$ radian $()/($s$).$

$3.$iV$\_(2)$ is added in series with V$\_(1)$ with equal magnitude and a different

frequency. In particular, V$\_(2)=10$cos$(\backslash$omega $\_(2)$t$)$V$,$ where $\backslash$omega $\_(2)=(1)/(\backslash$sqrt$($LC$)).$ Do you expect the magnitude

of the capacitor voltage at frequency $\backslash$omega $\_(1)$ to be larger or smaller than the magnitude of the

capacitor voltage at frequency $\backslash$omega $\_(2)\backslash$omega $\_(2)?$