Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
Make a table listing the power for each element of the cir- cuit. Indicate in the table whether each element is absorb- ing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of the circuit. (b) Determine the total power supplied by elements of the circuit.

Make a table listing the power for each element of the cir- cuit. Indicate in the table whether each element is absorb- ing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of the circuit. (b) Determine the total power supplied by elements of the circuit.

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...
See similar textbooks
icon
Related questions
Question

The instructions are on the pictures with all the info.

Use the method of mesh-current analysis to determine the correct mesh currents

Show all your calculations. Then, make a neat table listing the current, voltage, and power for each element of the circuit, and indicate whether each element is absorbing or supplying power. Verify that power is conserved.

**Tabulate the Power in Each Element** | Element | Current | Voltage | Power | Absorb or Supply | |-------------------|------------------|--------------------|---------|------------------| | 1 kΩ | 20 mA right | 20 V left + | 0.40 W | Absorbing | | Middle 2 kΩ | 20 mA right | 40 V left + | 0.80 W | Absorbing | | Bottom 2 kΩ | 15 mA left | 30 V right + | 0.45 W | Absorbing | | 4 kΩ | 5 mA left | 20 V right + | 0.10 W | Absorbing | | 40 V Source | 15 mA down | 40 V top + | 0.60 W | Absorbing | | 90 V Source | 40 mA up | 90 V top + | -3.60 W | Supplying | | 2.5vx Source | 25 mA down | 50 V* bottom + | -1.25 W*| Supplying | **Total Power: -2.50 W** *Note: Values may vary because the given mesh currents are incorrect.* **Analysis:** Power conservation is not achieved; thus, the provided mesh currents appear to be incorrect. The voltage and power for the 2.5vx dependent source are not unique since they are contingent on the method used to calculate the voltage across that source. **Instructions:** Ensure the use of correct units and appropriate powers of ten.
Transcribed Image Text:**Tabulate the Power in Each Element** | Element | Current | Voltage | Power | Absorb or Supply | |-------------------|------------------|--------------------|---------|------------------| | 1 kΩ | 20 mA right | 20 V left + | 0.40 W | Absorbing | | Middle 2 kΩ | 20 mA right | 40 V left + | 0.80 W | Absorbing | | Bottom 2 kΩ | 15 mA left | 30 V right + | 0.45 W | Absorbing | | 4 kΩ | 5 mA left | 20 V right + | 0.10 W | Absorbing | | 40 V Source | 15 mA down | 40 V top + | 0.60 W | Absorbing | | 90 V Source | 40 mA up | 90 V top + | -3.60 W | Supplying | | 2.5vx Source | 25 mA down | 50 V* bottom + | -1.25 W*| Supplying | **Total Power: -2.50 W** *Note: Values may vary because the given mesh currents are incorrect.* **Analysis:** Power conservation is not achieved; thus, the provided mesh currents appear to be incorrect. The voltage and power for the 2.5vx dependent source are not unique since they are contingent on the method used to calculate the voltage across that source. **Instructions:** Ensure the use of correct units and appropriate powers of ten.
**Text:** A mesh-current analysis of the circuit shown has found \(i_1 = 20 \, \text{mA}, i_2 = 40 \, \text{mA},\) and \(i_3 = 15 \, \text{mA}\). Assuming these mesh currents are correct, calculate the power absorbed or supplied by each element of the circuit, and try to verify that energy is conserved. Make a table listing the power for each element of the circuit. Indicate in the table whether each element is absorbing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of the circuit. (b) Determine the total power supplied by elements of the circuit. **Graph/Diagram Explanation:** The diagram illustrates an electrical circuit with several components, including resistors and voltage sources. It has three mesh currents indicated: \(i_1\), \(i_2\), and \(i_3\). The components are connected as follows: 1. A 1 kΩ resistor at the top, where a voltage \(v_x\) is defined across it. 2. The left branch has a 2 kΩ resistor and a 90 V voltage source in series. 3. The middle branch includes a dependent voltage source denoted as \(2.5v_x\). 4. The right branch has a 40 V voltage source and a 2 kΩ resistor. The diagram denotes the direction of each mesh current using red arrows, implying the current flow direction assumed for calculations.
Transcribed Image Text:**Text:** A mesh-current analysis of the circuit shown has found \(i_1 = 20 \, \text{mA}, i_2 = 40 \, \text{mA},\) and \(i_3 = 15 \, \text{mA}\). Assuming these mesh currents are correct, calculate the power absorbed or supplied by each element of the circuit, and try to verify that energy is conserved. Make a table listing the power for each element of the circuit. Indicate in the table whether each element is absorbing or supplying power. Clearly show all your calculations. (a) Determine the total power absorbed by elements of the circuit. (b) Determine the total power supplied by elements of the circuit. **Graph/Diagram Explanation:** The diagram illustrates an electrical circuit with several components, including resistors and voltage sources. It has three mesh currents indicated: \(i_1\), \(i_2\), and \(i_3\). The components are connected as follows: 1. A 1 kΩ resistor at the top, where a voltage \(v_x\) is defined across it. 2. The left branch has a 2 kΩ resistor and a 90 V voltage source in series. 3. The middle branch includes a dependent voltage source denoted as \(2.5v_x\). 4. The right branch has a 40 V voltage source and a 2 kΩ resistor. The diagram denotes the direction of each mesh current using red arrows, implying the current flow direction assumed for calculations.
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Mesh 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.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS