3. (a) Figure 3.1 shows an R-2R ladder network. Derive from first principles and with clear justifications the values of Io to I3 and Vo to V3 in tems of VREF and R. (b) Figure 3.2 shows a ladder network which is NOT an R-2R structure. Derive from first principles and with clear justifications the values of Io to Is and Vo to V3 in terms of VREF and R for this new ladder network. (c) The ladder network in Figure 3.2 is used to implement a 4-bit DAC as shown in Figure 3.3. Explain how this circuit works as a non-binary weighted DAC converter. (d) Assuming VREF is 5V, and the switch control values X3:X0 is 4'b1010 as shown, what is the voltage at the output of the op-amp? V V, 2R 2R R 2R 2R R 2R 2R Va Vo 2R 2R Figure 3.1 Figure 3.2 2R 2R 2R R Vour 2R R Va 2R Figure 3.3 1/3

3. (a) Figure 3.1 shows an R-2R ladder network. Derive from first principles and with clear justifications the values of Io to I3 and Vo to V3 in tems of VREF and R. (b) Figure 3.2 shows a ladder network which is NOT an R-2R structure. Derive from first principles and with clear justifications the values of Io to Is and Vo to V3 in terms of VREF and R for this new ladder network. (c) The ladder network in Figure 3.2 is used to implement a 4-bit DAC as shown in Figure 3.3. Explain how this circuit works as a non-binary weighted DAC converter. (d) Assuming VREF is 5V, and the switch control values X3:X0 is 4'b1010 as shown, what is the voltage at the output of the op-amp? V V, 2R 2R R 2R 2R R 2R 2R Va Vo 2R 2R Figure 3.1 Figure 3.2 2R 2R 2R R Vour 2R R Va 2R Figure 3.3 1/3

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

3. (a) Figure 3.1 shows an R-2R ladder network. Derive from first principles and with clear
justifications the values of Io to I; and Vo to V3 in tems of VREF and R.
(b) Figure 3.2 shows a ladder network which is NOT an R-2R structure. Derive from first
principles and with clear justifications the values of Io to Is and Vo to V; in terms of
VREF and R for this new ladder network.
(c) The ladder network in Figure 3.2 is used to implement a 4-bit DAC as shown in
Figure 3.3. Explain how this circuit works as a non-binary weighted DAC converter.
(d) Assuming VREF is 5V, and the switch control values X3:X0 is 4'b1010 as shown,
what is the voltage at the output of the op-amp?
VIEI
R
V3
2R
2R
R
Va
2R
2R
R
V1
2R
2R
R
R
Vo
2R
2R
2R
R
Figure 3.1
Figure 3.2
VREF
2R
R
2R
V2
2R
Vout
2R
R
Vo
2R
R
Figure 3.3
1/3

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