# One formula using superposition/nodal/source conversion/thevenin

#### Flupps

Joined Nov 14, 2013
8
I have a tutorial I'm trying to finish that first asks you to solve the same circuit 4 times using superposition, nodal, source conversion and Thevenin. I've been able to solve it using all of these getting the correct answer, but it also asks you to manipulate the formulas to get the exact same formula for each of these methods, which I can't figure out how to do.

Does anyone have any information on how to rearrange these types of formulas? I don't remember learning about this in class

#### WBahn

Joined Mar 31, 2012
26,398
What is meant by "exact same formula"? Formula for what?

#### Flupps

Joined Nov 14, 2013
8
ah woops, should have posted that

this is the circuit we're given, and we need to find the voltage across AB

All of the answers I have for each method is correct, but they are 4 different formulas.

the values are e1=10V, R1=8kΩ, r2=18kΩ, i3=1mA

This is the formula we're supposed to able to get for each separate method, which is the one I got for nodal without having to rearrange it.

Vab = [(I3 + (E/R1)] / [(1/R1) + 1/R2)] which gave me the answer 12.46V, which I also got for the other methods.

Somehow I need to rearrange the formulas for superposition, source conversion and thevenin to be identical to that one.

These are my other formulas for the other 3 methods:

Thevenin: Vab = [(Veb + (I3R1)R2] / (R1 + R2)

Superposition: Vab = (I2R2) + (E1/RT)R2

Source Conversion: Vab = [(Ve2-Ve1)R1 / (r1 + R2)] + Veb

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