From wikipedia, the definition of dissipation in terms of physics - In physics, dissipation embodies the concept of a dynamical system where important mechanical models, such as waves or oscillations, lose energy over time, typically from friction or turbulence. The lost energy converts into heat, which raises the temperature of the system.
This means that heat dissipation would increase the temperature of the wire? Then the straight wire which has more area for heat dissipation should get more heated.
If no, then how come coiled wire provide less surface area for heat dissipation?