Knowing that the MOSFET acts as a non linear device (NLD) in saturation mode based on the relation between Id and Vgs as shown next figure (ld is the drain output current and Vgs is the gate to source input voltage) in which K and Vth are constants. assuming the device will remain in saturation mode, and assume that the input voltage Vgs is the sum of DC component Va and small signal ac component Vb cos (wc t ) as shown in the figure. then answer the following: A) write Taylor series expansion of the output voltage Vout = ld . RL taking into account only the first three items of the series as an approximation. B) what will be the DC rectified (average) component of the output voltage according to the expansion found in A? C) what will be the frequency component of the remaining AC harmonics ? D) can we use the NLD for AM modulation? explain why? MOSFET Id Id = K [Vcs - Vih| Vcs NLD K and Vrh are constants related to the MOSFET type used Vout RI Vcs = Va + V1ɔ Cos (we t) +

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Communication Electronics
9. Knowing that the MOSFET acts as a non linear device (NLD) in
saturation mode based on the relation between Id and Vgs as shown
next figure (Id is the drain output current and Vgs is the gate to
source input voltage) in which K and Vth are constants. assuming
the device will remain in saturation mode, and assume that the input
voltage Vgs is the sum of DC component Va and small signal ac
component Vb cos (wc t ) as shown in the figure. then answer the
following: A) write Taylor series expansion of the output voltage
Vout = ld. RL taking into account only the first three items of the
series as an approximation. B) what will be the DC rectified (average)
component of the output voltage according to the expansion found
in A? C) what will be the frequency component of the remaining AC
harmonics ? D) can we use the NLD for AM modulation? explain
why?
MOSFET
Id
2
Id = K [Vcs - Vih
Vcs
NLD
K and Vrh are constants related
to the MOSFET type used
Vout
RI
Vcs = Va + Viɔ Cos (we t)
Transcribed Image Text:9. Knowing that the MOSFET acts as a non linear device (NLD) in saturation mode based on the relation between Id and Vgs as shown next figure (Id is the drain output current and Vgs is the gate to source input voltage) in which K and Vth are constants. assuming the device will remain in saturation mode, and assume that the input voltage Vgs is the sum of DC component Va and small signal ac component Vb cos (wc t ) as shown in the figure. then answer the following: A) write Taylor series expansion of the output voltage Vout = ld. RL taking into account only the first three items of the series as an approximation. B) what will be the DC rectified (average) component of the output voltage according to the expansion found in A? C) what will be the frequency component of the remaining AC harmonics ? D) can we use the NLD for AM modulation? explain why? MOSFET Id 2 Id = K [Vcs - Vih Vcs NLD K and Vrh are constants related to the MOSFET type used Vout RI Vcs = Va + Viɔ Cos (we t)
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