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"NFET和PFET的Drain电流与VGS之间的关系分析"

模拟cmos

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The "Design of Analog CMOS Integrated Circuits" is a comprehensive guide to understanding and designing CMOS integrated circuits. The second edition of the book includes updated answers to problems and a detailed table of contents for easy reference. Chapter 2 focuses on the design and analysis of NFET and PFET transistors. One of the problems in this chapter asks for the drain current of an NFET and a PFET as a function of |VGS| as |VGS| varies from 0 to 3 V, with |VDS| = 3 V and W/L = 50/0.5. The solution to this problem involves several steps, beginning with the schematic diagram of the NFET. The analysis is based on the understanding that the device is in the off condition, and the drain current is determined using a general expression. This expression is then used to plot the drain current of the NFET as a function of |VGS|. Similarly, the analysis for the PFET involves understanding the device's behavior and deriving the expression for the drain current. This is then used to plot the drain current of the PFET as a function of |VGS|. The solution provided in the book offers a detailed and systematic approach to understanding the behavior of NFET and PFET transistors. It demonstrates the practical application of theoretical concepts in designing and analyzing CMOS integrated circuits. Overall, the "Design of Analog CMOS Integrated Circuits" provides a thorough and insightful exploration of CMOS integrated circuit design, making it a valuable resource for students and professionals in the field. The updated answers and detailed table of contents in the second edition further enhance its usefulness as a reference for understanding and designing CMOS integrated circuits.

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Design of Analog CMOS Integrated Circuits

Solution for Chapter 2 Problem 5P

Question:

Sketch I

and the transconductance of the transistor as a function of V

for each circuit in Fig. 2.47 as V

varies from 0 to V

. In part (a), assume that V

varies from 0 to 1.5 V.

Figure 2.47

Step 1 Of 22

(a)

Refer to Figure 2.42 (a) in the textbook for the circuit. Assume that the voltage varies from 0V to and the drain-drain voltage is 3 V.

Refer to Table 2.1 in the textbook for SPICE model for the NMOS device.

The body effect coefficient is , the channel-length modulation coefficient is , PHI is ,and the threshold

voltage is .

Refer to Figure 2.42 (a), consider the gate-source voltage is , the drain-source voltage is , and the bulk voltage at

source is .

Consider the expression for the drain current which is equal to in the NFET device , when it operates in the saturation region.

…… (1)

Here, 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.

Step 2 Of 22

Write the expression for threshold voltage with body effect.

Here, is the body effect coefficient, is the threshold voltage, and is the bulk voltage at source.

Substitute 0.7 for , 0.45 for , 0.9 for , and for .

Substitute for , for , and for in equation (1).

…… (2)

Equation (2) is valid for .

Simplify the condition to find .

Simplify the condition.

Reduce the condition.

Choose the minimum value because the maximum supply voltage is 3 V. Therefore, .

Step 3 Of 22

For :

Substitute 0.1 for in equation (2).

Step 4 Of 22

Consider the expression for the trans conductance .

…… (3)

Here,

is the drain current.

Since, .

Substitute for in equation (3).

Substitute for .

For , the current is zero and hence the transconductance .

Step 5 Of 22

Draw the plot for the current and the transconductance of the transistor as a function of the voltage as shown in Figure 1.

In Figure 1, the curve shows that for as a function of . At , the current has some magnitude. At ,the current

gradually decreases until it reaches to 1.97 V.Further increase in voltage resultsin the current that is equal to zero upto the voltage

In Figure 1, the curve shows that for as a function of .At , the transconductance has some magnitude. At ,the

transconductance linearly decreases until it reaches to 1.97 V.Further increase in voltage resultsin the transconductance that is equal to zero

upto the voltage .

Thus, the plot drawn for the current and the transconductance of the transistor as a function of the voltage is shown in Figure 1.

Step 6 Of 22

(b)

Refer to Figure 2.42 (b) in the textbook for the circuit. Assume that the voltage varies from 0V to 1.5 V, the drain-drain voltage is 3 V, the

channel-length modulation coefficient is , and the body effect coefficient is .

In Figure 2.42 (b), for , the source and drain of the NFET device exchange their roles. Therefore, the gate-source voltage is

and the drain-source voltage is .

Consider the expression for overdrive voltage.

…… (4)

Substitute for and 0.7 for .

Consider the expression for the drain current , which is equal to in the NFET device .

Substitute for and for .

…… (5)

Step 7 Of 22

Calculate the transconductance of the NFET device .

…… (6)

Step 8 Of 22

Substitute for in equation (6).

…… (7)

Equations(5) and (7) are valid for .

Consider that the direction of current is reversed.Therefore, the gate-source voltage is and the drain-source voltage is

Substitute for and 0.7 for in equation (4).

For , the NFET device operates in the triode region.

Consider the expression for the drain current , which is equal to in the NFET device when it operates in the triode region.

Substitute for and for .

Substitute for in equation (6).

Step 9 Of 22

For , the NFET device operates in the saturation region.

Consider the expression for the drain current , which is equal to in the NFET device when it operates in the saturation region.

Substitute 0.2 for .

Since, .

Substitute for in equation (3).

…… (8)

Substitute for in equation (8).

Step 10 Of 22

Draw the plot for the current and the transconductance of the transistor as a function of the voltage as shown in Figure 2.

In Figure 2, the curve shows that as a function of . At , the current has some negative magnitude. At ,the current

gradually increases until it reaches to 1 V.Further increase in voltage resultsin the current that increases linearly upto the voltage 1.2 V.

When , the current becomes a constant value upto the voltage .

In Figure 2, the curve shows that as a function of . At , the transconductance has some negative magnitude. At ,the

transconductance linearly increases until it reaches to 1 V.Further increase in voltage resultsin the transconductance that increases linearly upto

the voltage 1.2 V. When , the transconductance becomes constant value upto the voltage .

Thus, the plot drawn for the current and the transconductance of the transistor as a function of the voltage is shown in Figure 2.

Step 11 Of 22

(c)

Refer to Figure 2.42 (c) in the textbook for the circuit. Assume that the voltage varies from 0V to 1.5 V, the drain-drain voltage is 3 V, the

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