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

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter7: Parallel Circuits
Section: Chapter Questions
Problem 3PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....
icon
Related questions
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)
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer
Knowledge Booster
Nodal analysis
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning