A current-carrying wire in an electric field may not deflect due to the absence of free charge, but the discussion explores scenarios involving length contraction and potential differences. When a voltage is applied across a suspended wire, it creates an electric field similar to a capacitor, leading to charge separation that could result in forces acting on the wire. The positive and negative charges in the wire would experience opposing forces, potentially causing the wire to rotate. Additionally, if the observer moves relative to the wire, they would perceive a net electric field and a magnetic field, resulting in a Lorentz force that could balance the electric force. Overall, the interaction of electric and magnetic fields plays a crucial role in determining the wire's behavior in these scenarios.