This chapter presents the transmission line (TL) model as an extension of the Ohmic contact framework to describe dissipation in quantum Hall edge states. The TL model consists of a series of Ohmic contacts that act as reservoirs, partially equilibrating incoming currents and introducing dissipation. A key motivation for this model is the “missing heat paradox,” where experimental measurements suggest a discrepancy between injected and detected heat flux. By incorporating Kirchhoff’s laws and Langevin dynamics, we analyze charge and heat transport within the TL model, introducing a basis transformation that distinguishes between symmetric (charged) and dipole (neutral) modes. We demonstrate that despite dissipation, both modes carry a fully quantized heat flux at equilibrium, contrary to previous theoretical claims. This result follows from a generalized sum rule that ensures thermal equilibrium is maintained. Our findings challenge previous models predicting suppressed heat transport in neutral modes and suggest that dissipation alone cannot explain the missing heat paradox. We propose that deviations from quantized heat flux may stem from measurement effects rather than fundamental breakdowns in heat transport. The TL model provides a robust framework for exploring dissipation, nonlocal interactions, and electronic correlations in chiral quantum systems.