Explanation Given: The circuit is given as: The given values are: R 1 = 234 × 10 3 Ω R 2 = 166 × 10 3 Ω V D D = 10 V K n = 0 .5×10 -3 A/VV 2 V T N = 2 V V G = 4 .15V R s = 0 .5×10 -3 Ω The expression for the gate voltage V G : V G = ( R 2 R 1 + R 2 ) V D D Substituting the known values: V G = ( 166 × 10 3 234 × 10 3 + 166 × 10 3 ) × 10 = 83 20 = 4.15 V The expression for drain current I D : I D = V G − V G S R S ............ ( 1 ) The another expression for drain current I D : I D = K n ( V G S − V T N ) 2 ......... ( 2 ) Equating equation (1) and (2): V G − V G S R S = K n ( V G S − V T N ) 2 Substituting the known values: 4.15 − V G S 0.5 × 10 3 = 0.5 × 10 − 3 ( V G S − 2 ) 2 4.15 − V G S = 0.25 ( V G S 2 + 4 − 4 V G S ) 16.6 − 4 V G S = V G S 2 + 4 − 4 V G S V G S = 12.6 V G S = 3.55 V Evaluating the transconductance g m . g m = 2 K n ( V G S − V T N ) Substituting the known values in above equation: g m = 2 × 0.5 × 10 − 3 ( 3.55 − 2 ) = 1.55 mA/V Evaluating the value of output resistance, R 0 . R 0 = R s 𑨈 1 g m Substituting the known values: R 0 = 0.5 × 10 3 𑨈 1 1.55 × 10 − 3 0.5 × 10 3 𑨈 10 3 1.55 = 0

Microelectronics: Circuit Analysis and Design

4th Edition

ISBN: 9780073380643

Author: Donald A. Neamen

Publisher: McGraw-Hill Companies, The

See similar textbooks

Question

Chapter 7, Problem 7.39P

To determine

The magnitude of the small-signal midband voltage gain.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 7, Problem 7.37P

Chapter 7, Problem 7.40P

Students have asked these similar questions

Prelab Information Laboratory Preliminary Discussion Second-order RLC Circuit Analysis The second-order RLC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex variable, s. Note, of course, that the impedances associated with R, RL, and Rs are constant independent of frequency, so the 's' notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques learned for AC and DC circuits. ZI(s) Zc(s) Rs w RL ww + + VRS(S) VRL(S) VL(s) Vc(s) VR(S) R Vs(s) Figure 1: A second-order RLC circuit represented in the s-domain. To generate the s-domain expression for the output voltage, Vout(s) = VR(S), for the circuit shown in figure 1, we can apply voltage division in the s-domain as shown in equation 1 below. For equation 1 we define the following circuit parameters. RT=RS + RL + R where: R₁ = Total series resistance Rs Signal generator output resistance (fixed) Inductor internal…

Can you show how the correct answer was found.

For the circuit shown in Figure (1). Solve the following: ( A. What type of logic does it represent? C. Explain the function of D1. B. What type of logic family does it belong to? D. Explain the importance of DL. E. How many stages it has? Explain the function of each one. F. Construct the truth table and explain it briefly. G.How can you convert this circuit to an open collector form? Explain and sketch it. H.How can you convert this circuit to a tri-state form? Explain and sketch it. I. How can you prevent the transistors from being saturated? J. Which transistor should be modified to convert this circuit to a 4-inputs NAND? Explain and sketch it. K.Convert this circuit to a 2-inputs NOR gate and draw it. R-1200 R-4.2K R-1.5K R-IK Figure (1) lour e Your

Chapter 7 Solutions

Microelectronics: Circuit Analysis and Design

Knowledge Booster

The magnitude of the small-signal midband voltage gain.

Solution Summary: The author explains the magnitude of the small-signal midband voltage gain.

The magnitude of the small-signal midband voltage gain.

Want to see the full answer?

Chapter 7 Solutions