Circuit Analysis: My Solution to Problem in Figure

AI Thread Summary
The discussion focuses on solving a circuit analysis problem involving the conversion of a parallel combination of current and resistance into a series combination of voltage and resistance. The user calculates an equivalent voltage of 300 V and a resistance of 50 ohms, resulting in a current of 3A. However, they express uncertainty about a potential mistake in their calculations, recalling a similar error from the past. The user emphasizes the importance of mastering different methods, such as source conversion and mesh analysis, to avoid repeating fundamental mistakes in complex circuits. Overall, the conversation highlights the challenges and techniques in circuit analysis.
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Problem and my attempt at the solution are in the figure below (red is my work):

http://dl.getdropbox.com/u/364603/elec.png
 
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You can convert the parallel combination of current and resistance to a series combination of voltage and resistance. Equivalent voltage IR.
 
Yes, I get 300 V and 50 ohm on the right then (if I remember correctly to do that) and this gives me 3A running. But, can you spot any mistake in my equation.

It works good if I use -6, that gives V = 150 V or if I use other methods but I remember making this same mistake a year ago. I think I am missing something fundamental. I don't want to repeat it when solving complex circuits.
 
In circuit analysis we can use different methods. Usually source conversion and mesh analysis is easy to do. I have solved by source conversion.
In mesh analysis, assign one current to each mesh and apply Kirchhoff law to find the current in each mash.
 

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