In the following circuit: a) Find the time needed for the output to ch

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In the following circuit: a) Find the time needed for the output to change from a high state to 0.9 VOH. VDD = 5 V, (W/L)N = 5, (W/L)P = 2.5, LN = LP = 1 μm, kN′ = kP′ = 20 μA/V2, VTN = 1 V, VTP = −1 V, and CL = 1 pF. b) Find the propagation delay time. c) What should you do to reduce this time delay?

In the following circuit: a) Find the time needed for the output to change from a high state to 0.9 VOH. VDD = 5 V, (W/L)N = 5, (W/L)P = 2.5, LN = LP = 1 μm, kN′ = kP′ = 20 μA/V2, VTN = 1 V, VTP = −1 V, and CL = 1 pF. b) Find the propagation delay time. c) What should you do to reduce this time delay?

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In the following circuit: a) Find the time needed for the output to change from a high state to $0.9 V_{O H}$ . $V_{D D} = 5 V, (W / L)_{N} = 5$ ,

(W / L)_{P} = 2.5, L_{N} = L_{P} = 1 μ m, k_{N}^{'} = k_{P}^{'} = 20 μ A / V^{2}, V_{T N} = 1 V, V_{T P} = - 1 V, and C_{L} = 1 p F .

b) Find the propagation delay time. c) What should you do to reduce this time delay?

\begin{array}{l} t_{P H L} = [\frac{2 V_{T N}}{k_{N} {(V_{D D} - V_{T N})}^{2}} + \frac{1}{k_{N} (V_{D D} - V_{T N})} \ln (\frac{1.5 V_{D D} - 2 V_{T N}}{0.5 V_{D D}})] C_{L} \\ t_{P L H} = [\frac{- 2 V_{T P}}{k_{P} {(V_{D D} + V_{T P})}^{2}} + \frac{1}{k_{P} (V_{D D} + V_{T P})} \ln (\frac{1.5 V_{D D} + 2 V_{T P}}{0.5 V_{D D}})] C_{L} \end{array}

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