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(a) For the circuit shown to the right, let vI go from VDD = 1 V to 0 V at t = 0. Before this transition, assume vo was 0.1 V. Write an expression for vo(t) for t > 0. (b) Let R = 10 kΩ and for the transistor, let kn′ = 0.5 mA/V2 and Vtn = 0.3 V. Derive the approximate (W/L) for the transistor so that vo = 0.1 V when vI = 1 V

(a) For the circuit shown to the right, let vI go from VDD = 1 V to 0 V at t = 0. Before this transition, assume vo was 0.1 V. Write an expression for vo(t) for t > 0. (b) Let R = 10 kΩ and for the transistor, let kn′ = 0.5 mA/V2 and Vtn = 0.3 V. Derive the approximate (W/L) for the transistor so that vo = 0.1 V when vI = 1 V

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(a) For the circuit shown to the right, let v I go from V D D = 1 V to 0 V at t = 0 . Before this transition, assume v o was 0.1 V . Write an expression for v o ( t ) for t > 0 . (b) Let R = 10 k Ω and for the transistor, let k n ′ = 0.5 m A V 2 and V t n = 0.3 V . Derive the approximate ( W / L ) for the transistor so that v o = 0.1 V when v I = 1 V

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