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BarelyOtaku
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Homework Statement
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This is problem 7.45 in Fundamental of Electric Circuit 5th edition.
2. Homework Equations
First off, I want to go ahead and say that I don't need the solution I already solved it.
I went ahead and used Nodal analysis when Vs = 30. I placed a node voltage right above the 40kΩ wire say ##V_1##.
I then solved for V1 using Voltage division,
##V_1 = \frac{40} {40+20} * 30 = 20## .
Applying nodal analysis,
##\frac{V_1-30}{20} + \frac{V_1}{40} + \frac{V_1-V_o}{10} = 0##.
∴ ##V_o = 20V##
To my understanding Vo is not equal to V1 because there's a resistor between them. However, the problem is that in the textbook solution assumed it WAS and skipped the nodal analysis step.
After solving my nodal equation I realize indeed that Vo is actually equal to V1.
Could anyone explain why? I'd like to know this so I could stop myself from using Nodal analysis for no reason in the final exam.
Please have mercy on me this is my first post
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