First of all, let's clarify the purpose of a voice coil in a speaker. A voice coil is a wire wound around a cylindrical former that is attached to the speaker cone. When an electrical current flows through the voice coil, it creates a magnetic field which interacts with the permanent magnet in the speaker, causing the voice coil and cone to move and produce sound.
In a single wound voice coil, as you mentioned, the positive and negative leads are located at opposite ends of the coil. When an electrical current flows through the coil, it creates a magnetic field that is evenly distributed throughout the entire coil. This magnetic field interacts with the permanent magnet to produce sound.
Now, in a double wound voice coil, both leads terminate at the top of the coil. This means that the electrical current flows through the entire length of the coil before exiting at the top. The key difference here is that the coil is wound in two layers, with the top layer wound in the opposite direction of the bottom layer. This creates a more complex magnetic field that is stronger and more evenly distributed, resulting in a more precise and powerful sound.
To address your concern about the electrical charge taking the shortest route, it's important to understand that the electrical current is flowing through the entire length of the coil, not just between the two leads. This means that both layers are being charged and contributing to the overall magnetic field. The leads at the top simply serve as the exit points for the electrical current.
In summary, a double wound voice coil works by utilizing two layers of wire wound in opposite directions to create a stronger and more precise magnetic field. The leads at the top serve as the exit points for the electrical current, but the current still flows through the entire length of the coil, charging both layers. This allows for a more powerful and accurate sound production. I hope this helps clarify any confusion.