Circuit Simplification, did I do this right?

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Discussion Overview

The discussion revolves around the simplification of a circuit, specifically whether the participant's approach to circuit simplification is correct. It includes aspects of circuit analysis, impedance, and the application of the Voltage Divider Rule.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Jordan presents a simplified circuit and asks for validation of their approach.
  • One participant agrees with Jordan's simplification but questions the use of ohms for all components.
  • Another participant explains that the book's use of ohms is intended to help understand impedance in a simplified manner.
  • Jordan inquires about calculating voltage (Vb) using the Voltage Divider Rule and proposes a formula involving total impedance.
  • A participant confirms Jordan's approach to calculating Vb but corrects the notation regarding parentheses in the formula.
  • Another participant challenges the notion of simplification, stating that merely rearranging components does not constitute proper simplification and emphasizes the need to calculate combined impedances and currents.

Areas of Agreement / Disagreement

There is no consensus on the correctness of the simplification method. While some participants validate Jordan's approach, others contest the understanding of what constitutes proper simplification.

Contextual Notes

Participants express varying interpretations of circuit simplification, with some focusing on rearrangement versus actual impedance calculations. There is also a mention of the book's pedagogical approach, which may influence understanding.

Who May Find This Useful

Individuals interested in circuit analysis, impedance calculations, and the application of the Voltage Divider Rule may find this discussion relevant.

Jordash
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I have a circuit here:

Circuit.jpg


And I simplified it like so:

simplifiedCircuit.jpg


Did I do it correctly?

Thanks,

Jordan
 
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It looks right. Why are all components in ohms? That makes my head hurt.
 
I'm glad it's right, The book tries to simplify things by adding the ohms to help us realize that impedance is similar to ohms when the book get's more complicated it shows the actual capacitance. So I guess the book is kind of in "Training Wheels" mode at the moment :)
 
Oh and Quick question about Calculating Vb I know that I can use the Voltage Divider Rule to get it (I did that for Va)

For Vb would I use the total impedance of all the impedances above the 820 ohms as say Z1 and then the impedance of the 820 Ohm resistor so it would be Vb=V* (820ohms/Z1+820Ohms) <-- VDR

Is my thinking right?
 
Yes. But watch your parens: Vb = V * (820 / (z1 +820)), which is probably what you meant.
 
Oh yeah your right, thanks for catching that.
 
That isn't what they meant by simplifying the circuit, though.

You just moved the components around on the page.

You need to work out the combined impedances and the currents as asked for in the question.
 

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