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## Homework Statement

Answer the following questions about the given circuit. These questions will walk you through the steps of the analysis process we call

*nodal*analysis, which is applicable to all electric circuits.

2.1 (3 pts) A quick Fermi-type problem before we start. Use Ohm’s Law to

*approximate*the value of the currents

2.2 (6 pts) Apply KCL at the labeled nodes: Using the currents as defined, write KCL at the labeled nodes. Do not change the direction of any currents from what I have shown! What is the voltage at the right hand end of resistor R3? (Remember that Node 0 serves as the voltage reference or 0V.) How many KCL equations do you have?

2.3 (6 pts) Make the dictionary: Using Ohm's Law, write expressions for all six defined currents.

2.4 (3 pts) Substitute the Ohm's Law expressions for the currents into the equations established in 2.4.

2.5 (6 pts) Write the matrix equation corresponding to the equations you determined in 2.6.

2.6 (3 pts) Use MATLAB or your calculator to solve the matrix equation for the

*node voltages.*

2.7 (3 pts) Now that you know the node voltages, solve for all six currents. Are the values of

**and**

*i3***y 0? Does this match your preliminary Fermi estimate?**

*i6*## Homework Equations

[itex] I = \frac{V}{R} [/itex]

[itex] i = vG [/itex]

## The Attempt at a Solution

I'm not really knowledgeable about circuits (this is just an introductory lesson). However, for the Fermi problem I was thinking that I could assume that the voltage is constant throughout the parallel parts of the circuit (is this a valid assumption). Furthermore, for part 2.2, I was thinking that I would need to write an Ohm's Law expression for each [itex] i_{a} [/itex]. Also, I know that [itex] G = \frac{1}{R} [/itex] so I was planning to account for G that way. I hope this is the right way to proceed, I was hoping someone can confirm. Thanks