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a) Vs b) + Vs R R V-423, V, -1/3 Vs = = 4 V=1/4 V₂ 2R. 2R + + V₂ and V₁ = R 8 2R. V/₂2 + 2RZV₂ - R + V3 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 R. VN (3) For the more general case of Figure 2b, which has N vertical resistors, you can verify that that the voltage across the kth resistor is

a) Vs b) + Vs R R V-423, V, -1/3 Vs = = 4 V=1/4 V₂ 2R. 2R + + V₂ and V₁ = R 8 2R. V/₂2 + 2RZV₂ - R + V3 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 R. VN (3) For the more general case of Figure 2b, which has N vertical resistors, you can verify that that the voltage across the kth resistor is

Introductory Circuit Analysis (13th Edition)
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)
Transcribed Image Text: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)
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Step 1: Stating the given data

Given circuit:

Electrical Engineering homework question answer, step 1, image 1

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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