Loading effect on Voltage Sources

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SUMMARY

The discussion centers on the loading effect on voltage sources, specifically addressing the confusion surrounding the voltage across an oscilloscope in circuit diagrams. The participant clarifies that Vnl can be modeled as a voltage divider using the formula V_{o} = (R_{L} / (R_{s} + R_{L})) * V_{S}. They also conclude that the oscilloscope can be treated as a resistor (Rscope) to define Vnl in terms of Vs and Rs, ultimately determining that VNL = Vs when the oscilloscope's resistance is sufficiently high.

PREREQUISITES
  • Understanding of voltage dividers and their applications
  • Familiarity with circuit diagrams and component representation
  • Knowledge of the loading effect in electrical circuits
  • Basic principles of Kirchhoff's Voltage Law (KVL)
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  • Study voltage divider circuits in detail
  • Learn about the loading effect and its implications in circuit design
  • Explore the characteristics of oscilloscopes and their impact on circuit measurements
  • Review Kirchhoff's Voltage Law and its applications in complex circuits
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Electrical engineering students, circuit designers, and anyone interested in understanding the impact of measurement tools on circuit behavior.

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Homework Statement


See figure.


Homework Equations


N/A.


The Attempt at a Solution



Okay first off I have a little confusion about the diagram in figure 3. Is Vnl simply the voltage across the oscilloscope in this figure? Is the circuit I've drawn in pink the same as figure 3?

I'm still confused how I can write Vnl in terms of Vs and Rs. Am I supposed to be using figure 3 or figure 4 to do this?
If I do infact have to use figure 4, Vo in the figure, is that suppose to be the same as Vnl?

If so then this is a simple voltage divider.

[tex]V_{o} = \frac{R_{L}}{R_{s} + R_{L}} \cdot V_{S}[/tex]

Is this is what they are looking for?

The source of my confusion is in figure 3 they have Vnl on a point instead of being across an element (such as the scope), and how exactly I'm suppose to define Vnl using Vs and Rs.

Any tips/suggestions/comments would be greatly appreciated.

Thanks again!

EDIT: After doing some wiki reading on the loading effect, is it safe to assume that I can model my Oscilloscope in Figure 3 as a resistor Rscope and use that to define Vnl? The question asks what the value of Vnl is solely in terms of Vs, and Rs though... Is this possible?

If I can infact model my Oscilloscope as a resistor then Vnl would be expressed in terms of Vs, Rs and Rscope as follows,

[tex]V_{NL} = \frac{R_{scope}}{R_{scope} + R_{s}} \cdot V_{s}[/tex]
 

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Figured it out.

Since the scope's resistance is finitely high(but high enough), we can treat it as an open circuit.

KVL, no current flowing and VNL = Vs.
 

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