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Equation 1 · Part 4 · How Grok and Colossus Actually Work, as Far as the Record Shows

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Pnameplate=N1⋅PGPU=100,000×700 W≈70 MW.P_{\text{nameplate}} = N_1 \cdot P_{\text{GPU}} = 100{,}000 \times 700\ \text{W} \approx 70\ \text{MW}.
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What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

The passage around this formula

That reported 250-megawatt figure is worth pausing on, because a naive back-of-envelope estimate from the chips alone comes out much lower. Nvidia’s own datasheet lists the H100 SXM5 module’s maximum thermal design power at 700 watts [ 5 ] . Multiplying that by the disclosed size of the original cluster gives the accelerators’ own nameplate draw at launch: Pnameplate=N1⋅PGPU=100,000×700 W≈70 MWP_{\text{nameplate}} = N_1 \cdot P_{\text{GPU}} = 100{,}000 \times 700\ \text{W} \approx 70\ \text{MW}. Independently reported total generating capacity at the site during roughly that period ran several times higher than that — on the order of 570 megawatts once a documented 150-megawatt grid connection (below) is added to the roughly 420 megawatts of turbine capacity litigants and reporters separately counted on the…

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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.