Solving Network Nodal Voltages & Voltage-to-Current Conversion Tutorial

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Discussion Overview

The discussion revolves around solving network nodal voltages and converting voltage sources to current sources, with a focus on theoretical understanding and practical application in circuit analysis. Participants share resources, clarify concepts, and engage in problem-solving related to these topics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Some participants seek tutorials for solving network nodal voltages and converting voltage sources to current sources.
  • One participant asserts that a voltage source can be converted into a current source using Norton's theorem, specifying the conditions for conversion.
  • Another participant challenges the correctness of a previous solution regarding the value of the current source and the configuration of the circuit components.
  • There is a discussion about the representation of circuit components, specifically questioning the units associated with an inductor.
  • Participants explore the use of phasors in source transformations and express confusion regarding the application of complex numbers in circuit analysis.
  • One participant explains Euler's formula and phasor notation, while others seek clarification on converting complex numbers from Cartesian to polar form.
  • There are multiple inquiries about the calculation of angles and the use of the arctangent function in determining phase angles.

Areas of Agreement / Disagreement

Participants express varying levels of understanding and agreement on the methods for converting voltage sources and analyzing circuits. Some concepts are clarified, but no consensus is reached on all points, particularly regarding specific calculations and interpretations.

Contextual Notes

Participants reference specific equations and transformations, but there are unresolved questions about the application of these concepts, particularly in relation to complex numbers and their representations.

Who May Find This Useful

Students and practitioners in electrical engineering or related fields who are learning about circuit analysis, nodal voltage methods, and source transformations may find this discussion beneficial.

celect
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Can someone direct me to a tutorial for solving network
nodal voltages.
Also need to learn how to convert voltage source to a current source.
 
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a textbook should have everything you need..your in philly they must have a kick a*s Library there.. :smile:
 
Yea I was there today, will be back tomorrow.
 
celect said:
Can someone direct me to a tutorial for solving network
nodal voltages.
Also need to learn how to convert voltage source to a current source.
You cannot convert a voltage source into a current source. What you can do is to convert a voltage source in series with a resistor into a current source in parallel with the same resistor. This is Norton's theorem.
 
Ok I'm reading that chapter now, I attached a sample I'm working on now.
 

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    Sample1.GIF
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The solution you posted is wrong. The value of the current source is V/Z and what must be in parallel with the source is the series impedance, not the parallel you draw.
 
Regarding the right most circuit component, the symbol represents an inductor; yet the units is given in ohms.
 
inductor are coils , therefore i believe they can have resistance,
anyway,Checkout OpenCourseWare at MIT
 
So if I need to find E/Z = 20/9.9 = 2A

Now all I do is redraw circuit with 2A current source with
impedance parallel in circuit?
 
  • #10
If you want to do a source transformation on this circuit, you should probably look up phasors.
 
  • #11
celect said:
So if I need to find E/Z = 20/9.9 = 2A

Now all I do is redraw circuit with 2A current source with
impedance parallel in circuit?
No, you must make
I=\frac{20[cos(20)+jsin(20)]}{5.6+j8.2}
 
Last edited by a moderator:
  • #12
I'm confused on how to get proper result

I have now I = 20V <20 degree/ 5.6+J8.2
and I found in book the way to draw circuit.
but I don't understand how to use the equation with cos and j 20 sin.
 
  • #13
That's just Euler's formula and phasor notation:
"A-angle-theta" is phasor notation for A*ej*theta, which by Euler's formula is A[cos(theta) + j*sin(theta)], where A is a scalar value.
 
  • #14
You can also write 5.6 + j8.2 as 9.93 <55.67
So, I=\frac{20 &lt;20}{9.93 &lt;55.67}
That is an easiest form to evaluate the quocient.
 
  • #15
Here is a problem I got wrong, with the solution.
I don't understand how they got answer.


I don understand how you get
5.6 + j8.2 as 9.93 <55.67
how does 5.6 become 9.33
and j.2 = 55.67
 

Attachments

  • 1.GIF
    1.GIF
    2.4 KB · Views: 578
  • #16
celect said:
Here is a problem I got wrong, with the solution.
I don't understand how they got answer.


I don understand how you get
5.6 + j8.2 as 9.93 <55.67
how does 5.6 become 9.33
and j.2 = 55.67
I have transformed the complex number from its cartesian form to its polar form.
Z = x + jy = R<φ
Where R is the modulus of the complex:
R = \sqrt{x^2 + y^2}
and
\phi = tan^{-1}\frac{y}{x}
 
  • #17
Thanks its coming together now.

so my current = 20/9.93 = 2A

I don't understand how to get degrees yet
\phi = tan^{-1}\frac{y}{x}

do I take 8.3/5,5 tan and then use above formula?

what is the -1 how do i use on calculator?
 
  • #18
celect said:
Thanks its coming together now.

so my current = 20/9.93 = 2A

I don't understand how to get degrees yet
\phi = tan^{-1}\frac{y}{x}

do I take 8.3/5,5 tan and then use above formula?

what is the -1 how do i use on calculator?
tan^{-1} means arctan. It is the arc whose tangent is y/x.
And your current is I = 2 <-35.67.
When dividing complex numbers in the polar form you divide the moduli and subtract the phases.
 

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