The strength of an electric field around a charged wire can vary with its shape, but primarily depends on the proximity of charges rather than the specific configuration. When a long charged wire is coiled into a spiral, the electric field strength near the wire may increase due to the charges being closer together. However, the overall effect of the spiral shape on the electric field strength is not straightforward and can lead to both stronger and weaker fields at different points. The key factor influencing the electric field is the distribution and density of the charge rather than the wire's shape itself. Understanding these principles is essential for analyzing electric fields in various configurations.