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

In summary: In this case:Z = x + jy = R<φWhere R is the modulus of the complex:R = \sqrt{x^2 + y^2}and\phi = tan^{-1}\frac{y}{x} So, I=2-35.67=0
  • #1
celect
43
0
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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  • #2
a textbook should have everything you need..your in philly they must have a kick a*s Library there.. :smile:
 
  • #3
Yea I was there today, will be back tomorrow.
 
  • #4
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.
 
  • #5
Ok I'm reading that chapter now, I attached a sample I'm working on now.
 

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  • #6
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.
 
  • #7
Regarding the right most circuit component, the symbol represents an inductor; yet the units is given in ohms.
 
  • #8
inductor are coils , therefore i believe they can have resistance,
anyway,Checkout OpenCourseWare at MIT
 
  • #9
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
[tex]I=\frac{20[cos(20)+jsin(20)]}{5.6+j8.2}[/tex]
 
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  • #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, [tex]I=\frac{20 <20}{9.93 <55.67}[/tex]
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
 

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  • #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:
[tex]R = \sqrt{x^2 + y^2}[/tex]
and
[tex]\phi = tan^{-1}\frac{y}{x}[/tex]
 
  • #17
Thanks its coming together now.

so my current = 20/9.93 = 2A

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

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
[tex]\phi = tan^{-1}\frac{y}{x}[/tex]

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

what is the -1 how do i use on calculator?
[tex]tan^{-1}[/tex] 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.
 

1. How do I solve for network nodal voltages?

To solve for network nodal voltages, you must first identify all the nodes in the network and assign them a reference node. Then, use Kirchhoff's Current Law (KCL) to write equations at each node, setting the sum of currents entering the node equal to the sum of currents leaving the node. Finally, solve the resulting equations to find the nodal voltages.

2. What is the purpose of voltage-to-current conversion?

Voltage-to-current conversion is used to convert a voltage signal into a current signal. This is useful in many applications, such as in communication systems where a voltage signal needs to be transmitted over long distances without losing its strength.

3. How do I convert a voltage signal to a current signal?

To convert a voltage signal to a current signal, you can use a voltage-to-current converter circuit. This circuit typically consists of an operational amplifier and a resistor. The voltage signal is fed into the non-inverting input of the op-amp, and the output of the op-amp is connected to a resistor, which converts the voltage signal to a current signal.

4. What are the advantages of using voltage-to-current conversion?

One major advantage of using voltage-to-current conversion is that it allows for efficient transmission of signals over long distances. Current signals are less affected by noise and can travel longer distances without losing their strength. Additionally, using voltage-to-current conversion can also help with impedance matching in electronic circuits.

5. Are there any limitations to voltage-to-current conversion?

Yes, there are some limitations to voltage-to-current conversion. One limitation is that the conversion process can introduce errors and distortions in the signal. Additionally, the circuit used for conversion may have a limited frequency response, which can affect the accuracy of the converted signal. It is important to carefully design and select components for voltage-to-current conversion to minimize these limitations.

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