A resistor with resistance RR and a capacitor with capacitance CC are connected in series to an AC voltage source. The time$-$dependent voltage across the capacitor is given by VC$($t$)=$VC$0$sin$\backslash$omega tVC$($t$)=$VC$0$sin$\backslash$omega t$.$ What is the amplitude I$0$I$0$ of the total current I$($t$)$I$($t$)$ in the circuit? What is the amplitude VRVR of the voltage across the resistor? If R$=3$k$$R$=3$k$,$ C$=100$pFC$=100$pF$,$ VC$0=100$mVVC$0=100$mV$,$ and $=105$rad$/$s$=105$rad$/$s$,$ what is VRVR$?$