- #1
serp777
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- 6
Homework Statement
Find the voltage Vo using node voltage method specifically.
Homework Equations
The Attempt at a Solution
I am able to get the correct answer when finding the equivalent impedance, then determining the current, and then finding the voltage at the first node V1 by subtrating the source from the voltage drop across the inductor. Then I simply use voltage divider to find Vo.
However, using node voltage at location V1 gets me a completely different answer which means I am doing something wrong in my node voltage calculations, but i cannot identify what it is. I am using the TI-84 caclulator to do these calculations.
Rearranging the eqn to solve for V1 using nodal analysis, V1(1/10j + 1/50 + 1/(30+10j)) = 240/10j= 24j
V1 = 24j/(1/10j + 1/50 + 1/(30 + 10j))
So V1 = 203.7735+113.207j which is teh answer provided by the calculator.
Converting to polar I get 233.108*e^(0.507j) where 0.507 = 0.507*180/pi = 29.04 degrees, which is very differnent according the solution i posted. So where am I going wrong with this calculation? I've tried it three times.