How might I go about generating a two-dimensional 'doughnut' with a wire wrapped around it, like the above image? (sorry for poor quality).
I tried playing around with coil in the pathmorphing library, but I was unable to get a satisfactory result, and I'm not sure how I would hide the 'back' of the wire.
\begin{tikzpicture}
\draw(0,0)circle(1);
\draw(0,0)circle(2);
\draw[decorate,decoration={coil, amplitude=20, segment length=20}](0,0)circle(1.5);
\end{tikzpicture}
