ELC-42

Joule heating

Ohmic dissipation.

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CircuitsJoule heating

Governing equation

P=I^2 R

where

I: Current (A)
R: R (Ω)
P: Heat (W)

Lecture brief

Historical brief

Ohm (1827), Kirchhoff (1845) and Maxwell’s circuit reduction still run every board: RLC transients, transformers, skin effect and three-phase power. The sheets are those network laws, not a SPICE deck. This sheet (ELC-42 — Joule heating) is the form associated with Joule heating. Working symbols: $I$ , $R$ $\rightarrow$ $P$ . Ohmic dissipation. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

P

from

I

R

in Electrical via

P=I^2 R

Ohmic dissipation. Use it when a real electrical question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

I = 8.000\,\mathrm{A}

R = 2.000\,\mathrm{Ω}

, the governing relation

P=I^2 R

yields

P = 128.00\,\mathrm{W}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

Current I8 AR R2 Ω

Outputs

Heat P128.00 W

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Ohmic dissipation. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube