Concept explainers
Formulate node-voltage equations for the circuit in Figure P3-1. Arrange the results in matrix form
The node voltage equations in matrix form
Answer to Problem 3.1P
The required node voltage equation in the form of matrix is
Explanation of Solution
Calculation:
The given circuit diagram is shown in Figure 1
Mark the branch current in the given diagram.
The required diagram is shown in Figure 2
Apply the KCL at the node
Apply the KCL at the node
Apply the KCL at the node
Arrange the Equation (1), (2) and (3) in the matrix form.
Conclusion:
Therefore, the required node voltage equation in the form of matrix is
Want to see more full solutions like this?
Chapter 3 Solutions
ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
- Analyze and redraw the complex circuit into a simple circuit diagram. At circuits #1 and #2, solve for: a. Rt b.It c.V at 5 ohm resistor d.I at 5 ohm resistor e.P at 5 ohm resistorarrow_forwardProvide the nodal equations for the circuit above Solve for the nodal voltage V1. The node connected to R1. What is the nodal voltage V2. This is the node between R2, R3, R4, and the current source What is the voltage across R4?arrow_forwardWrite and solve the node equations in matrix form for the network shown in Figure P3-22. Please answer very soon will give rating surelyarrow_forward
- -Determine the nodal voltage V3. -Solve for the current I4.arrow_forwardFor R1=55, R2=D125, R33D135, R4=15, R5=40, R63D90 and V1=4 V in the shown figure, use circuit reduction and current/voltage division rules to calculate the following: R6 R1 R5 R3 R2 V1 V2 R4 V13= V2=arrow_forwarda)Write the relationship between V1 , R1 , Rc and Ic .b) Write the relationship between V2 , R2 , Rc and Ic .c) Write the relationship between V3 , R3 , Rc and Ic .d) Determine the values of Rc and Ic .e) Determine the value of R3 .arrow_forward
- 6. A Thevenin de equivalent circuit always consists of an equivalent.. a. AC voltage source b. capacitance c. DC voltage source d, resistance 7. The superposition theorem is useful for the analysis of. ***** a. single-source circuits. b. only two-source circuits. c. multi-source circuits. d. no source circuits.arrow_forwardThe expression for power is given as the derivative of energy with respect to time. We have studied linear time invariant passive circuits in this course. Which of the following statement expresses the use of power and energy relations in a comprehensive way?Single choice. These can be used for passive and linear circuits These can be used for passive and active linear circuits These can be used for passive linear and non linear circuits These can be used for active and passive nonlinear and linear circuitsarrow_forwardASSUME ARBITRARY VALUES FOR ALL OR PLUG IN VALUES U CAN USE AS AN EXAMPLE. Nodal Analysis: a. find voltage across resistor.arrow_forward
- Solve for Itotal, P1, V2, P3arrow_forward"To solve a circuit" means to use the values of potentials and resistances to find all currents passing through, and voltage drops across all elements in the circuit. Create a general procedure to solve any circuit DC circuit with any number of resistors. You may use the Structure Physics Problem-Solving Method as a model.arrow_forwardIn the figure.c=146 V. R₂=7.650, R₂-22.50, R3-27,302, and L=2.95 H. Immediately after switch S is closed, what are (a) is and (b) 12? (Let currents in the indicated directions have positive values and currents in the opposite directions have negative values.) A long time later, what are (c) i; and (d) i₂? The switch is then reopened. Just then, what are (e) is and (f) 12? A long time later, what are (g) is and (h) i₂? (a) Number (b) Number (c) Number (d) Number (e) Number: (n Number (c) Number 1 (h) Number Units Units Units Units Units Units Units Units R₁arrow_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,