Concept explainers
For the circuit shown in Fig. 3.113, write the node-voltage equations by inspection.
Figure 3.113
For Prob. 3.69.
Write the node-voltage equations for the circuit in Figure 3.113.
Answer to Problem 69P
The matrix form representation of node-voltage equations for the given circuit is
Explanation of Solution
Given data:
Refer to Figure 3.113 in the textbook for the nodal analysis.
Calculation:
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Apply Kirchhoff’s current law at node
Simplify the equation as follows.
Represent the equations (1), (2), and (3) in matrix form.
Conclusion:
Thus, the matrix form representation of node-voltage equations for the given circuit is
Want to see more full solutions like this?
Chapter 3 Solutions
Fundamentals of Electric Circuits
- Q3: Obtain the Thevenin equivalent circuits at terminals a-b for the circuit in figure shown below: R, V, I 2002 2% Vo- www 10 (2 3 A a obarrow_forwardDo a circuit analysis on the diagram 3 using the VIRPE Table: 3. R,=20 V,=12V R3=10 R=40 R;=50 R3=30 R=60arrow_forwardFor the following circuit, find vi, V2, and v3. 14 2 k: ww 40 V 15 Q 102arrow_forward
- Q3) A) Find Ras for the circuit shown in Figure 3. 50 Figure 3 B) For the circuit shown in Figure 4, use the superposition theorem, the voltage divider rule and the current divider rule to find in. 30 sn Ov 2 V Figure 4arrow_forwardSuperposition theorem does not support calculations of .. .. Power Voltage Current It is working for all: current , voltage and Power.arrow_forward3.) Please find the differential equation(s) that model the electrical circuit shown in Fig. 3-39 in Ogata (page 99). ei C HH R₁ ww A R₂ ww Figure 3-39 Operational-amplifier circuit. eoarrow_forward
- Q3/Determine Vab, Vcb, and Vc for the network of Figure. + R, R₁ E₁ b ww 25 92 20 12 19 V E₂35 Varrow_forwardYou are required to analyze the circuit given below, using Thevenin's theorem. You can use any technique to simplify the circuit if required (without disturbing Vo). Please address the followings: a) Compute open circuit voltage Voc across a-b terminals. b) Compute short circuit current (Iah) by short-circuiting the terminals a-b. c) Compute RTH using the values of Voc and Ish. [1 mark] d) Recompute RTH by inserting 1A-current source across a-b terminals. 0.25 Vo 20 18V 3Ω. Voarrow_forwardQ3. Use superposition method to get the value of Vxarrow_forward
- Practice problem 3.2: Find v and i in the circuit in Figure below. to the loop. Answer: -0.2 V, 1.4 A. 3 V www 7V 30 Biomedica LECTUBER: ALI Sarrow_forwarduse Superposition principle: a) determine the contribution from the voltage source alone. b) determine the contribution from the current source alone. c)determine the total current with both sources active.arrow_forwardSuperposition V. Determine the current flowing through (Ix) and voltage across the 2 ohms resistor (Vx) a.) 3V acting alone a.1) Draw the circuit with 3v acting alone a.2) Solve to find Ix' and Vx' b.) 4A acting alone b.1) draw the circuit with 4A acting alone b.2) use circuit simulation software( NI Multisim, or Multisim live, or Everycircuit) simulate circuit (from b.1) and add properly ammeter and voltmeter to find Ix'' and Vx'' with 4A acting alone b.3.) Solve to find Ix'' and Vx'' (manually) c.) solve for Ix and Vx from results of (a.1, a.2, b.2) d.) simulate the original given circuit (with 3v and 4A) to check the results (from c, for Ix and Vx)arrow_forward
- Introductory Circuit Analysis (13th Edition)Electrical EngineeringISBN:9780133923605Author:Robert L. BoylestadPublisher:PEARSONDelmar's Standard Textbook Of ElectricityElectrical EngineeringISBN:9781337900348Author:Stephen L. HermanPublisher:Cengage LearningProgrammable Logic ControllersElectrical EngineeringISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
- Fundamentals of Electric CircuitsElectrical EngineeringISBN:9780078028229Author:Charles K Alexander, Matthew SadikuPublisher:McGraw-Hill EducationElectric Circuits. (11th Edition)Electrical EngineeringISBN:9780134746968Author:James W. Nilsson, Susan RiedelPublisher:PEARSONEngineering ElectromagneticsElectrical EngineeringISBN:9780078028151Author:Hayt, William H. (william Hart), Jr, BUCK, John A.Publisher:Mcgraw-hill Education,