A superposition a method to solve a unknown by killing the source( voltage or current).
STEPS
* First is to know what is the goal or what we find on the problem.
* Second is to kill a source. only remain one source to used.
Killing the source means that we remake the circuit( if it is voltage source, short it, but if it is current source, open it)
* Solve the unknown by using any methods ( ohms law, voltage or current division)
* Repeat it to the next source.
* Add it all.
To solve a sample circuit using mesh analysis:
1. Create a loop on the circuit and label it (e.g. I1, I2, I3) Just like below:
2. Create an equation on each loop using KVL method.
@ I1
Vs -I1R1 – (I1-I2) R4 – (I1-I3)R5 = 0
@ I2
-I2R2 – I2R3 – (I2 – I3)R6 -(I2 – I1)R4 = 0
@ I3
there is a current source so that will be the -I3.
3. Solve the given equations using any methods. I prefer to use cramer’s rule.
4.Note that the current solved here is not really current pass through each impedance.
there is a formula to solve in a given branch ( if there is a two mesh current passes through. used a formula..)
I= Iccw – Icw
5. Used the currents to solve the parameters or the unknown.
The mesh analysis is a method to solve a parameters for a given circuit. This is more useful if there are many current source in a given circuit. The method used here is KVL as an equations. The number of loop is also the number of equations to create. I learned that you should not always to create a loop immediately. The first thing to do is to analyse first the problem if it can be simplify before attacking it.
FranCircuit 2 