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For the CMOS inverter below determine the mode of operation for each transistor, the supply current, and the output voltage.

For the CMOS inverter below determine the mode of operation for each transistor, the supply current, and the output voltage.

For the CMOS inverter below determine the mode of operation for each transistor, the supply current, and the output voltage.

 

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For the CMOS inverter below determine the mode of operation for each transistor, the supply current, and the output voltage.

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MOSFET device capacitances: Calculate the −3 dB bandwidth of the circuit shown below. Parameters: W1 = 10 μm, L1 = 1 μm, W2 = 2 μm, L2 = 10 μm, VIN = 0.9 V, VDD = 1.8 V. Assume μnCox = 150 μA/V2 and Vtt = 0.5 V. For each MOSFET, consider only the intrinsic gate capacitance (use the parameters on slide 43 of Chapter 2 of the course notes for calculations). Hints: First determine the region of operation of each transistor, i. e. saturation, triode, or cutoff. Use appropriate small-signal models for each transistor: we covered saturation in class, models for other regions can be found by reading sections 1.2 . 8 and 1.3 . 3 in the Carusone textbook.

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For the CMOS inverter circuit shown below, assume the following: Kn′ = Kp′, Ln = Lp = 1 μm, and |VTP| = VTN = VT. Let's define the threshold as the point (vI = VTH) in the vO versus vI transfer curve where vO = VDD/2. a) Sketch the inverter transfer curve and mark the VTH point. b) Find an expression for the inverter threshold voltage VTH in terms of VDD, VT, Wn and Wp. c) If Wn = Wp, what is VTH ? In what mode of operation are M1 and M2 when VI = VTH ?

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NOTE: For all the problems here, and from now on, we'll use the common terminology for K. Namely, we'll use Kn = Kn ' (W/L) for n−MOSFETs and Kp = Kp′(W/L) for p-MOSFETs. Kn′ = μnCox and Kp′ = μpCox. For the CMOS inverter circuit shown below, assume the following: Kn′ = Kp′, Ln = Lp = 1 μm, and /VTP/ = VTN = VT. Let's define the threshold as the point (vI = VTH) in the vO versus vI transfer curve where vO = VDD/2. a) Sketch the inverter transfer curve and mark the VTH point. b) Find an expression for the inverter threshold voltage VTH in terms of VDD, VT, Wn and Wp. c) If Wn = Wp, what is VTH ? In what mode of operation are M1 and M2 when VI = VTH ? What about when VI < VTH ?
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