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Equation 6 · Part 1 · How Advanced Semiconductor Fabrication Actually Works

Symbol S

S=kTqln⁡(10)(1+CdepCox),S = \frac{kT}{q}\ln(10)\left(1 + \frac{C_{\mathrm{dep}}}{C_{\mathrm{ox}}}\right),
SS

What this part means

S is part of the quantity the equation computes from the expression on the right.

Its job in the formula

S is part of the quantity the equation computes from the expression on the right.

The passage around this formula

…by S=kTqln⁡(10)(1+CdepCox)S = \frac{kT}{q}\ln(10)\left(1 + \frac{C_{\mathrm{dep}}}{C_{\mathrm{ox}}}\right). where CdepC_{\mathrm{dep}} is the capacitance of the depletion region the gate does not fully control and CoxC_{\mathrm{ox}} is the gate’s own oxide capacitance. As CdepC_{\mathrm{dep}} falls toward zero, S falls toward its physical floor of about 60 millivolts per decade at room temperature. Wrapping the gate fully around the channel is, in this equation, a direct attack on CdepC_{\mathrm{dep}} : there is no substrate face left for the depletion region to leak through, because there is no substrate…

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A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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