Thermal Impedance

An active circuit generates heat … sometimes damaging heat.
We all know this … The power dissipated in an element is equal to current squared times the resistance of the element.

    \begin{displaymath} P \; = \; I^2 \; R \end{displaymath}

The current in a switching circuit is equal to:

    \begin{displaymath} I \; = \; C \, \frac{ \, dV \, }{dt} \end{displaymath}

As clock speeds increase, dt decreases, current increases … heat increases.

Thermal resistance can be considered an analogy to electrical resistance – thermal resistance opposes the flow of heat as electrical resistance opposes the flow of current. A voltage proportional to both current and resistance is developed across an electrical resistance as a thermal potential – \DeltaT – proportional to both heat flow and thermal resistance is developed across a thermal resistance.

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