Answer
Most of the energy dissipates in the filament.
Work Step by Step
The thick connecting wires have less electrical resistance and won't heat up as much as the thin, high-resistance filament when carrying the same currents.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.