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Derive an expression in terms of VDD, VT, VTp, Kn and Kp for the input voltage to a CMOS inverter such that the current

Derive an expression in terms of VDD, VT, VTp, Kn and Kp for the input voltage to a CMOS inverter such that the current from VDD to ground in static conditions is maxi- mum. Also, derive the expression for this maximum current. (The operating regions of the two transistors at maximum inverter current can be found from the graphical solution for the output voltage of the inverter). Calculate the value of this input voltage and maximum current for a CMOS inverter which uses both n and p channel transistors with (W/L) = 1. Values of other device and circuit parameters are given at the end of this question paper.

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