IHelp with Electronics Circuit Problem: -4.444V & 98.75W

AI Thread Summary
The discussion revolves around solving an electronics circuit problem that yields a voltage of -4.444V and a power of 98.75W. The original poster is struggling to understand the method to arrive at the answer despite knowing it is correct. Participants suggest checking the signs in the equations, emphasizing that current flows from high to low voltage. Clarifications are made regarding the correct equation for V0, which is stated as V0/4 = -10 - 2V0, and the relevance of the diamond voltage is downplayed. The conversation highlights the importance of accurately interpreting circuit diagrams and equations in electronics.
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I have been teaching myself electronics from "Fundamentals of Electric Circuits". Can somebody help me with the attached problem? I know the answer, as it is given in the back of the book. However the method used to arrive at the answer eludes me. The answer is -4.444V and 98.75W. I have been able to figure out subsequent problems but this one has me stumped.
I get the following equation for V0 -> V0/4=(10+2V0)
 

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Check the definition of V0 on the diagram. It's not what you wrote in the equation.
 
Yea, check your signs. Current goes through a resistor from high to low voltage, your equation has charges gaining energy from the resistor.
 
Thanks guys.
 
the picture is very confusing, what is the diamond voltage??
 
The diamond voltage is not necessary to figure out v0. The correct equation for v0 is v0/4=-10-2v0.
 

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