- Homework Statement:
- The book hasn't presented the nodal analysis before this problem, but i can't tell what technique to use in this situation
- Relevant Equations:
- any hint?
help will be appreciated
The book only presented the kirchhoff's laws and the ohm's law in that chapter.Can you show us your attempt at a solution? Can you write down any equations to represent the relationships shown in the schematic?
Sometimes when you don't know where to start, just writing down what you can deduce from the circuit can get you started.
I'm not sure how to answer your question about nodal analysis. My instinct says; "yes, absolutely, you can usually solve simple circuits without formal nodal analysis". However, virtually all circuit analysis is nodal analysis in disguise or with short-cuts.
That's a good start. What else do you know about the circuit? You have 1 equation with 2 unknowns, so either it can't be solved uniquely, or you need more equations.The circuit clearly has one node (and the reference node); I applied de KCL to the top node
No.Yes, in order to have another equation, the circuit would need another node, I think
Yes they do undoubtedly affect the solution, the problem is asking for the voltage across the left resistor which is obtained by ohm's law V=IRDo you think the value of the resistors would effect the solution?
With that information given, the other variables would be obtained by ohm's law, simpleNo.
Suppose I told you the value of Io. Could you solve for all of the other voltages and currents in the circuit. What equations would you use to do that?
Yes, they are wrong. It never occurred to me to put the numbers into my equations, LOL. I ALWAYS leave that as the last step.I'm rather dubious of the supplied answers. If ##i_o = 10 A## then already with the controlled source and the current through the 2 Ω resistor you've exceeded the current being supplied to the node (15 A).
Then those are probably your additional equations.With that information given, the other variables would be obtained by ohm's law, simple
I got the same answers after some calculation (I had to use nodal analysis) and yes, the book is wrong, thanks everyone for helpingYes, they are wrong. It never occurred to me to put the numbers into my equations, LOL. I ALWAYS leave that as the last step.
The correct answers are (90/13)A and (180/13)V.
Nodal analysis when there is only one essential node is just KCL in its basic form. Yes, you also need Ohm's law to complete the analysis, but that's just another "primitive" circuit law.I got the same answers after some calculation (I had to use nodal analysis) and yes, the book is wrong, thanks everyone for helping