Webpage title: Understanding Series and Parallel Circuits in Circuit Analysis

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Discussion Overview

The discussion revolves around the classification of resistors and capacitors in series and parallel configurations within circuit analysis. Participants explore the implications of including batteries and the effects on current and voltage in these configurations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether two resistors separated by a battery are considered in series, and similarly for capacitors.
  • Another participant requests sketches to clarify the circuit configurations being discussed.
  • A participant asserts that in the first case, the resistors are in series, but notes a fault in the diagram that complicates the classification of the second configuration.
  • There is a discussion about whether the presence of a capacitor or battery affects the classification of resistors as series or parallel, with one participant suggesting that it does not.
  • Another participant emphasizes that the terms 'series' and 'parallel' are not absolute and can depend on the analysis context, cautioning against rigid classifications.

Areas of Agreement / Disagreement

Participants express differing views on the classification of components in circuit configurations, indicating that there is no consensus on how to categorize the components based on the presence of batteries or capacitors.

Contextual Notes

Some assumptions about circuit configurations and the definitions of series and parallel may be missing, leading to potential misunderstandings. The discussion also highlights the complexity of applying Kirchhoff's laws in certain configurations.

member 392791
Hello,

I was curious, if two resistors are separated by a battery (i.e. a circuit looks like battery -> resistor -> battery -> resistor), are the resistors in series? Similar idea with a capacitor.

Also, are the resistors parallel if there is a junction that contains a battery and a resistor, and below it a single resistor?
 
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Please provide sketches of your circuits so we are sure to follow.
 
Ok here is a quick image I drew (I don't know where to get a circuit diagram drawer that is easy to use)
 

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In the first case, YES they are in series. In the second diagram, the resistors are in series so far as battery #1 is concerned, as you have drawn it. You have a faulty diagram, however, since you have shorted out battery #2. I assume instead that you meant the bottom of battery #2 to connect to the node at far left where both resistors meet. In that case, the circuit is neither purely series nor parallel, but more complicated. The voltages and currents can be found by applying Kirchoff's laws, if you have come across those.
 
So I guess the takeaway of this, is it the case that a capacitor and/or battery that is in between two resistors doesn't affect whether you consider them as being in series or parallel? For a capacitor, the current can't go through the air in between, so of course they don't have the same current, but are they still in series?
 
The terms 'series' and 'parallel' are not the be all and end all of circuit analysis. Don't get hung up on how to use them. The point of describing a pair of components as being 'in parallel' is when you are considering the way current splits between them. When you are considering two components 'in line' and how the voltage is shared between them, you use the term 'series'. In any particular circuit, it is often quite possible to treat two components as either series or parallel, depending on what you want to find out.
Avoid the 'classification bug'.
 

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