How can I find Voltage V in an AC circuit using loop rules?

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Discussion Overview

The discussion revolves around finding the voltage V in an AC circuit using loop rules and nodal analysis. Participants share their approaches, challenges, and attempts to solve the problem, which is framed within a homework context.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in using loop rules to find the voltage V and seeks guidance on how to approach the problem.
  • Another participant suggests that nodal analysis is a good strategy, noting it leads to an equation in one variable for V.
  • A participant mentions confusion regarding the use of current (i) and references a solution found on Chegg, indicating a specific numerical result.
  • There are corrections regarding the manipulation of equations, specifically the inversion of coefficients and the handling of complex numbers.
  • Participants express appreciation for the assistance provided, indicating a collaborative atmosphere.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solution process, as there are corrections and differing interpretations of the steps involved in the calculations. The discussion remains unresolved regarding the correct approach to finding the voltage V.

Contextual Notes

Some limitations include potential misunderstandings in the manipulation of equations and the handling of complex numbers, which are not fully resolved in the discussion.

MechEngrStdnt
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circ#1.png

Homework Statement



Need to find Voltage V. I know that I need to first solve for the currents, have tried using loop rules, not having much luck.

Homework Equations



Just would like to know how to approach, and solve, this problem. ME and circuits has never been my friend, thanks!

The Attempt at a Solution


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You chose an excellent strategy using nodal analysis as it yields an equation in one variable that happens to be the one you want to find.

Something went wrong between your third and fourth step though, when you tried to invert the coefficient of V1 in moving it to the RHS of the equation.
 
WIN_20150301_175741.JPG

Dealing with i has been messing me up, don't use it much in Newtonian mechanics haha. I think I'm getting further away... according to chegg the solution is 28.28<45deg. ill attach my latest attempt. Thanks for the help!
 
Yeah, you've done the same thing again between the final line on the left and the new line at the top right. Note:

[tex]\left( \frac{1}{10} + \frac{j}{10} \right)^{-1} \neq \left( 10 - 10j \right)[/tex]
 
Wow, embarrassing...

You sir are a scholar, and gentleman. Thanks!
 
Glad to help!
 

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