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Question

For an n-channel MOS transistor with $\mu_n$ = 600 cm2/Vs, Cox = 7 x 10-8  F/cm2, W = 40 $\mu_m$, L = 4$\mu_m$ and VTO=1.0 V, the value of K parameter is:

This question was previously asked in
UGC NET 2023 Home Science Question Paper (13-Dec-2023) (Shift 1)
The correct answer is

42 x 10-5  A/V2

To solve for the value of the transconductance parameter \( K \) for the given n-channel MOSFET, we use the formula:

\(K = \frac{\mu_n \cdot C_{ox} \cdot W}{2L}\)

where:

  • \(\mu_n\) = electron mobility = 600 cm2/Vs
  • \(C_{ox}\) = oxide capacitance per unit area = \(7 \times 10^{-8}\) F/cm2
  • \(W\) = width = 40 μm = \(40 \times 10^{-4}\) cm
  • \(L\) = channel length = 4 μm = \(4 \times 10^{-4}\) cm

Substituting the known values into the formula:

\(K = \frac{600 \cdot (7 \times 10^{-8}) \cdot (40 \times 10^{-4})}{2 \times (4 \times 10^{-4})}\)

First, calculate the numerator:

\(600 \cdot 7 \cdot 40 = 168000\)
Therefore, the numerator is \(168000 \times 10^{-8} \times 10^{-4} = 168000 \times 10^{-12}\)

Calculate the denominator:

\(2 \cdot 4 \times 10^{-4} = 8 \times 10^{-4}\)

Now divide the numerator by the denominator:

\(K = \frac{168000 \times 10^{-12}}{8 \times 10^{-4}} = \frac{168000}{8} \times 10^{-8} = 21000 \times 10^{-8}\)

Simplifying further, we get:

\(21000 \times 10^{-8} = 2.1 \times 10^{-4} = 42 \times 10^{-5} \text{ A/V}^2\)

Thus, the value of the \(K\) parameter is 42 x 10-5  A/V2.

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