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拉扎维模拟CMOS集成电路第二版最新答案-含目录
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Design of Analog CMOS Integrated Circuits
Solution for Chapter 2 Problem 1P
Question:
For W/L = 50/0.5, plot the drain current of an NFET and a PFET as a function of |V
GS
| as |V
GS
| varies from
0 to 3 V. Assume that |V
DS
| = 3 V.
Step 1 Of 9
For NFET:
The schematic diagram of NFET is drawn as shown in Figure 1.
Step 2 Of 9
Refer to Figure 1, for the device is in off condition. Therefore, the drain current .
Consider the general expression for the drain current when .
…… (1)
Here,
is the drain current is, is the mobility of electrons, is the gate-source voltage, is the drain-source voltage, is the threshold
voltage, is the channel-length modulation coefficient, is the gate oxide capacitance per unit area, W is the width, and is the length,
which is .
Refer to Figure 1, .
Substitute for and for in equation (1).
…… (2)
Step 3 Of 9
Consider the expression for the gate oxide capacitance per unit area.
…… (3)
Here,
is the permittivity of the oxide, which is and is the gate oxide thickness.
Substitute for in equation (3).
…… (4)
Refer to Table 2.1 in the textbook for the term .
Substitute for and for in equation (4).
Refer to Table 2.1 in the textbook for the terms , , and .
Substitute for , for , for , 0.7 V for , for , 3 V for , and for
in equation (2).
…… (5)
Substitute the unit for in equation (5).
…… (6)
Step 4 Of 9
Consider if , then equation (6) becomes .
Consider .
Substitute 0.8 V for in equation (6).
Likewise, substitute the various values of in equation (6) to obtain the drain current , which are tabulated in Table 1.
Step 5 Of 9
Draw the plot between and as shown in Figure 2.
Thus, the Figure 2 shows the drain current of NFET as function of varies from 0 to 3 V.
Step 6 Of 9
For PFET:
Draw the schematic diagram of PFET as shown in Figure 3.
Step 7 Of 9
Refer to Figure 3, for the device is in off condition. Therefore, the drain current .
Consider the expression for the drain current when or .
…… (7)
Refer to Table 2.1 in the textbook for the terms , , and .
Substitute for , for , for , 0.8 V for , for , 3 V for , and for
in equation (7).
…… (8)
Substitute the unit for in equation (8).
…… (9)
Step 8 Of 9
Consider if , then equation (9) becomes .
Consider .
Substitute 0.9 V for in equation (9).
Likewise, substitute the various values of in equation (9) to obtain the drain current which are tabulated in Table 2.
Step 9 Of 9
Figure 4 shows the plot drawn between and .
Thus, the Figure 4 shows the drain current of PFET as function of varies from 0 to 3 V.
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