I would like to draw an electric circuit diagram that looks like this:
I am suffering from those circular flows $i_1(t),i_2(t)$ (I drew them in red to point out; they actually don't need to be colored).
I have so far coded:
\begin{circuitikz}
\ctikzset{inductor=american}
\draw(0,0)to[open,v^>=$v_i(t)$,o-o](0,2);
\draw(0,2)to[short,o-*,R=$R_1$](2,2)to[short,*-*,L=$L$](2,0);
\draw(2,2)to[short,*-*,R=$R_2$](4,2)to[C,*-,l_=$C$,v^<=$v_o(t)$](4,0);
\draw(0,0)to[short,-*](2,0)to[short,*-](4,0);
% FIXME the following line and so far
\draw(1,1.5)arc[short,start angle=90,end angle=-90,I=$i_1(t)$,radius=0.5];
\end{circuitikz}
, which outputs:



