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characterization, modeling, and design of esd protection circuits

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3.6. Extraction <strong>of</strong> MOSFET Pf vs. tf Curve 81<br />

log 10 (1 / (∆T / K))<br />

∆T / K<br />

2<br />

0<br />

-2<br />

-4<br />

−14<br />

900<br />

600<br />

300<br />

0<br />

−14<br />

b/c = 40µm / 2µm<br />

Eq. (3.37)<br />

P´/κ = 3.38X10 4 K<br />

D = 0.354 cm 2 /sec<br />

b/c = 10µm / 0.25µm<br />

b/c = 10µm / 2µm<br />

−12 −10 −8 −6 −4 −2 0<br />

log10 (time / sec)<br />

b/c = 10µm / 2µm<br />

Eq. (3.37)<br />

b/c = 40µm / 2µm<br />

b/c = 10µm / 0.25µm<br />

−12 −10 −8 −6 −4 −2 0<br />

log10 (time / sec)<br />

Fig. 3.32 Simulated 1/∆T vs. time (a) <strong>and</strong> ∆T vs. time (b) curves for various length/<br />

width ratios in a uniformly doped semiconductor region with a constant<br />

applied power. The temperature on the perimeter <strong>of</strong> the rectangular<br />

device is fixed at 300K. Eq. (3.37), the analytic approximation, is plotted<br />

for the 10µm X 2µm structure.

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