Derive the equations below by using the circuits: a)Vb)V₂VsMRR2R2*+V₂2R V₁V₂Vs, V3V₁ = 1/2, V₂ = 4 and V₂ =RVs8R2R.2RV₂V/₁₂R+V₂R2RZ VN-1Figure 2: R-2R ladderThe name R-2R ladder comes from the configuration of resistors. The three resistors that form the horizontal rungsrunning across the top of the ladder have value R, whereas the vertical resistors have value 2R, except for the last(rightmost) resistor, which has value R. For this case, you can verify that the voltages across the vertical resistors areR+VNFor the more general case of Figure 2b, which has N vertical resistors, you can verify that that the voltage across the thresistor is(3)

Given circuit:Asked to derive the voltages of , and .

Answered: a) Vs b) + Vs R R V-423, V, -1/3 Vs = =…

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

Derive the equations below by using the circuits:

a)
V
b)
V₂
Vs
M
R
R
2R
2*
+
V₂
2R V₁
V₂
Vs, V3
V₁ = 1/2, V₂ = 4 and V₂ =
R
Vs
8
R
2R.
2R
V₂
V/₁₂
R
+
V₂
R
2RZ VN-1
Figure 2: R-2R ladder
The name R-2R ladder comes from the configuration of resistors. The three resistors that form the horizontal rungs
running across the top of the ladder have value R, whereas the vertical resistors have value 2R, except for the last
(rightmost) resistor, which has value R. For this case, you can verify that the voltages across the vertical resistors are
R
+
VN
For the more general case of Figure 2b, which has N vertical resistors, you can verify that that the voltage across the th
resistor is
(3)

Expert Solution

Step 1: Stating the given data

Given circuit:

Asked to derive the voltages of $V subscript 1 equals V subscript s over 2$ , $V subscript 2 equals V subscript s over 4$ and $V subscript 3 equals V subscript S over 8$ .

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