Find (practical) current source constants, I and R

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SUMMARY

The discussion focuses on determining the source constants I and R for a practical current source with a current of 22 A and a terminal voltage of 390.3 V when loaded with 50 Ω. The correct load current, calculated as I_load = 7.806 A, is derived from Ohm's Law (V = I × R). The resistance R is subsequently found to be 27.5 Ω using the formula R = V / (I - I_load). The participant emphasizes the distinction between the load current and the current of the practical current source, reinforcing the concept of the current source as a black box.

PREREQUISITES
  • Understanding of Ohm's Law (V = I × R)
  • Familiarity with practical current sources in electrical engineering
  • Knowledge of circuit analysis techniques
  • Ability to interpret electrical diagrams and symbols
NEXT STEPS
  • Study the characteristics of practical current sources
  • Learn about circuit loading effects on current sources
  • Explore advanced circuit analysis techniques, such as Thevenin's and Norton's theorems
  • Investigate the implications of black box models in electrical engineering
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Electrical engineering students, circuit designers, and professionals involved in analyzing and designing current sources and related circuits.

courteous
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Homework Statement


A practical current source has a current of [tex]22 A[/tex]. Loading the source with [tex]50 \Omega[/tex] results in terminal voltage of [tex]390.3 V[/tex]. Obtain the source constants, I and R.

Homework Equations


[tex]V=I\times R[/tex]

The Attempt at a Solution



In my clumsy picture below, shouldn't [tex]I_{load}[/tex] be replaced by the [tex]I[/tex] of the "practical current source"? That is, isn't a "practical current source" as a black box, and we can only "see" the outside current?
[PLAIN]http://img51.imageshack.us/img51/1466/dsc01001ni.jpg

Only if I take the current outside as [tex]I_{load}[/tex] (and not as the [tex]I[/tex] itself) do I get the correct solution:
[tex]I_{load}=\frac{V}{R_{load}}=\frac{390.3V}{50 \Omega}=7.806 A[/tex]

[tex]R=\frac{V}{I_R}=\frac{V}{I-I_{load}}=\frac{390.3 V}{22A - 7.806 A}\dot{=}27.5 \Omega[/tex]
 
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Everything looks good to me.
 
Except this:
courteous said:
In my clumsy picture above, shouldn't [tex]I_{load}[/tex] be replaced by the [tex]I[/tex] of the "practical current source"? That is, isn't a "practical current source" as a black box, and we can only "see" the outside current?
 

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