\documentclass{standalone}
\usepackage[american]{circuitikz}
\usepackage{graphicx}
\usepackage{mathrsfs} 
\usepackage{latexsym,amssymb,amsmath}
\newcommand{\equal}{=}
\begin{document}
	\begin{circuitikz}
		\draw (0,6) to [R,i^>=$\phi_2$, l^= $\mathscr{R}_{g1}$,v_>=$\mathscr{F}_{g1}$, color=blue] (0,0)
		(0,6) to  [R,i>=$\phi_1$, l^= $\mathscr{R}_{ab}$,v_>=$\mathscr{F}_1$, color=purple] (4,6) 
	    (0,0) to [R,i^>=$\phi_2$, l^= $\mathscr{R}_{cd}$,v_>=$\mathscr{F}_{cd}$, color=gray] (4,0)
	    (4,2) to [I,l_=$N_1i$] (4,4)
	    (4,2) to [I,l_=$N_2i$] (4,0)
	    (4,4)  to  [R,i>=$\phi_1$, l^= $\mathscr{R}_{ad}$,v_>=$\mathscr{F}_{ad}$, color=orange] (4,6)
		(4,6) to [R,l^= $\mathscr{R}_{3}$,v_>=$\mathscr{F}_3$, color=red] (8,6)
		(8,6) to [R,i^>=$\phi_3$, l^= $\mathscr{R}_{g2}$,v_>=$\mathscr{F}_{g2}$, color=cyan] (8,0)
		(8,0) to [R, l^= $\mathscr{R}_{dc}$,v_>=$\mathscr{F}_{dc}$, color=green] (4,0);
	\end{circuitikz}
	\label{fig:q1fig}
\end{document}