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## Homework Statement

.[/B]

2. Homework Equations

**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 V

_{1}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 V

To my understanding V

_{o}is not equal to V_{1}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

**V**.

_{o}is actually equal to V_{1}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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