Solving Homework Equations with Superposition & Norton's Theorem

[MICHEAL]

Homework Statement

I have pasted the diagram with the attached file so any explanation



I am trying to find the answer to this questions and I am reading ahead of my exams this next January . And I am going through the past questions

a. Determine current flowing through 2 ohms resistor using superposition and nortons theorem

b. Determine the current flowing across 8R ohms resistor using thevenems and Nortons

Please I need a site that can give different examples on how to solve more complex questions Please I just like your help. It will prepare me a lot

Thank you.

Homework Equations

The Attempt at a Solution

 

[berkeman]

Welcome to the PF, MICHEEL. One of the rules here on the PF is that you must show us your own work and thoughts in order for us to provide tutorial help. We do not give out answers here on the PF.

Do you know how to write the Kirchoff Current Law equations for the nodes in that circuit? That is the best way to approach this type of problem.

 

[piercas]

I am happy to see that you are actively studying and preparing for your exams. Superposition and Norton's Theorem are important concepts in electrical circuits, and I am glad that you are seeking help to better understand them.

To answer your first question, using superposition and Norton's Theorem, we can determine the current flowing through the 2 ohms resistor by breaking down the circuit into smaller parts and calculating the current in each part separately. This can be done by replacing all the independent sources (such as voltage or current sources) with their internal resistances, and then using the formula for Norton's Theorem to calculate the current in each part. Once we have the individual currents, we can add them up to get the total current flowing through the 2 ohms resistor.

For your second question, we can use Thevenin's Theorem and Norton's Theorem to determine the current flowing across the 8 ohms resistor. Thevenin's Theorem states that any linear circuit can be replaced by an equivalent circuit with a single voltage source and a single resistor in series. Similarly, Norton's Theorem states that the same circuit can be replaced by a single current source and a single resistor in parallel. By using these theorems, we can simplify the circuit and calculate the current across the 8 ohms resistor.

As for finding more examples to practice, there are many online resources and textbooks that provide step-by-step explanations and examples of using superposition and Norton's Theorem in solving complex circuit problems. I recommend checking out websites such as Khan Academy and All About Circuits for helpful tutorials and practice problems. Additionally, your textbook or class notes may also have more examples for you to work on. Keep practicing and seeking help when needed, and I am sure you will do well on your exams. Best of luck!