## 22.2. Fundamentals of Ohmic Heating

### 22.2.1. Basic Principles

The basic principle of ohmic heating, or the Joule effect, is the dissipation of electrical energy in the form of heat using an electrical conductor. This energy generation is proportional to the square power of the local electric field strength and the electrical conductivity. The power generated, ΔP, in a homogeneous element conductor of given length Δz in the z direction and area ΔA, perpendicular to the electrical field E, with constant physical properties, is given by

$ΔP=ΔU2ΔΩ=σE2ΔAΔz=σE2ΔV$

(22.1)

where the potential difference in direction z is ΔU = EΔz and the ohmic resistance is defined ...

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