Question 4.14: A certain analog switch similar to the one shown in Figure 4...

A certain analog switch similar to the one shown in Figure 4–55 uses an n-channel MOSFET with V_{GS(th)} = 2 V. A voltage of +5 V is applied at the gate to turn the switch on. Determine the maximum peak-to-peak input signal that can be applied, assuming no voltage drop across the switch.

4.55
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The difference between the gate voltage and the negative peak of the signal voltage must equal or exceed the threshold voltage. For maximum V_{p( out )} ,

V_{G}  –  V_{p(out)} = V_{GS(th)}

V_{p(out)} = V_{G}  –  V_{GS(th)} = 5  V  –  2  V = 3  V

V_{pp(in)} = 2V_{p(out)} = 2(3  V)= 6 V

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