Correct American Voltage Source Current Arrow circuitikz

Question

I have this issue where a voltage source won't invert the current coming out of it, it will only rotate the signs, the arrow will still come from the south of the node.

I basically need the current i coming out from the plus sign with both on the north, that is, the left source should be exactly like the one on the right. All sources drawn in a loop fashion, that is:

\draw
    (0, 0)  --
    (0, 0) to [V, i=$i$] (0, 3) --
    (3, 3) to [V, i=$i$] (3, 0) --
    (0, 0);

MWE for picture above

\documentclass[tikz]{standalone}
\usepackage[USenglish]{babel}
\usepackage[american, siunitx]{circuitikz}

\usetikzlibrary{babel}

\begin{document}

    \begin{tikzpicture}

        \draw [fill] (1.5, 3) circle (0.3ex) node [above] {a}; 
        \draw
            (0, 0)  --
            (0, 0) to [V, i=$i$] (0, 3) --
            (3, 3) to [V, i=$i$] (3, 0) --
            (0, 0);

    \end{tikzpicture}

\end{document}

MWE for attempts at fixing it

\documentclass{article}

\usepackage[USenglish]{babel}
% \let\latinencoding\relax

\usepackage[american, siunitx]{circuitikz}

\usetikzlibrary{babel}

\begin{document}

    \begin{center}

        \begin{circuitikz}

            \draw   (1,0) -- 
                    (0,0) to [V, invert, v=$V$, i=$i$]  (0,3)
                          -- (1,3);

        \end{circuitikz}

    \end{center}

\end{document}

With (0,0) to [V, invert, v=$V$, i=$i$] (0,3)

With (0,0) to [V, v=$V$, i=$i$] (0,3)

With (0,0) to [V, invert, v=$V$, i>=$i$] (0,3)

Answer 1

if i understood correctly, than you looking for

\documentclass[margin=3mm]{standalone}
\usepackage[american, siunitx]{circuitikz}

\begin{document}
    \begin{tikzpicture}
\draw   (0,0)   to [V, i_>=$i$, invert]     (0,3)
                to [short, -*]  (1.5,3) --  (3,3)
                to [V, i=$i$]   (3.0,0) --  (0,0);
    \end{tikzpicture}
\end{document}

Answer 2

By the manual you can control the orientation for currents using i>={Text} or i<={text} ... and their direction from voltage i>_={Text}, i<_={text}

---

ERRATUM

Seeing the result you want, I see that my solution was bad, @ zarko's answer uses and writes in the correct circuitikz syntax.

So it only remains to clarify the relative coordinates, using it allows to change the position of the entire circuit depending only on the initial coordinate, also that no longer consistent with the syntax of circuitikz it is possible to draw some segments in reverse and get the result, of course a bad practice but it serves to see the flexibility of tikz.

Additionally in green the options to reverse the current the position of the label and the side relative to the voltage node.

RESULT:

MWE:

\documentclass[tikz]{standalone}
\usepackage[USenglish]{babel}
\usepackage[american, siunitx]{circuitikz}
\usetikzlibrary{babel}
\begin{document}
    \begin{tikzpicture}[
        %Environment styles.
        Note/.style={
            anchor=south,
            align=center,
            font=\scriptsize
        }
    ]
    \draw
    (0,0) node[anchor=south]{a}
        to [short,*-] ++ (1.5,0)
        to [V,i=$i$] ++ (0,-3)
        to [short] ++ (-3,0)
        to [V,i_>=$i$,invert] ++ (0,3)
        to [short] ++(1.5,0);

    \draw[color=blue]
    (6,0) coordinate (init) node[anchor=south]{a}
        to [short,*-] ++ (1.5,0)
        to [V,i=$i$] ++ (0,-3)
    (init)
        to [short] ++(-1.5,0)
        to [V,i=$i$] ++ (0,-3) -- ++(3,0);

    \draw[color=green!50!black]
    (-1.5,-5) coordinate (init2) node[Note]{Normal \\ \verb+i=$i$+}
        to [V,i=$i$] ++ (0,-3)
    (init2)++(1.5,0) node[Note]{Equivalent \\ \verb+i<=$i$+}
        to [V,i<=$i$] ++ (0,-3)
    (init2)++(3,0) node[Note]{Current \\ Reversed \\ \verb+i>=$i$+}
        to [V,i>=$i$] ++ (0,-3)
    (init2)++(4.5,0) node[Note]{Label \\ position \\ change\\ \verb+i_=$i$+}
        to [V,i_=$i$] ++ (0,-3)
    (init2)++(6,0) node[Note]{Equivalent \\ side \\ change\\ \verb+i^<=$i$+}
        to [V,i^<=$i$] ++ (0,-3)
    (init2)++(7.5,0) node[Note]{Current rev. \\ and side \\ change\\ \verb+i^>=$i$+}
        to [V,i^>=$i$] ++ (0,-3)
    (init2)++(9,0) node[Note]{Current rev. \\ side and \\ label \\ change\\ \verb+i_>=$i$+}
        to [V,i_>=$i$] ++ (0,-3);

        \end{tikzpicture}
\end{document}

Why tikz picture environment in standalone document class? It allows you to import the pdf output from the tikz standalone class using graphicx package, without loosing svg or vector properties, within figure environment in the main document scaled by the value \textwidth in:

\includegraphics[width=\textwidth]{tikz_drawing_in_standalone_class_pdf_output.pdf}