Assigning Polarities and using them in KVL equation, circuits

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Discussion Overview

The discussion revolves around the assignment of polarities in circuit components and their implications for applying Kirchhoff's Voltage Law (KVL). Participants explore how to determine the signs of voltages in the KVL equation, particularly in relation to batteries and resistors, and the effects of connecting batteries in different configurations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses confusion about assigning polarities to voltage across circuit components and how these polarities affect the KVL equation.
  • Another participant suggests that consistency in polarity assignment is key, noting that incorrect assignments will result in negative voltages when solving equations.
  • A different viewpoint emphasizes that as long as polarities are assigned consistently around the loop, the sum of voltage rises and drops must equal zero, regardless of the initial assignments.
  • A follow-up question seeks clarification on how to distinguish between voltage rises and drops when inputting values into the KVL equation.

Areas of Agreement / Disagreement

Participants generally agree on the importance of consistency in polarity assignment, but there is ongoing uncertainty regarding the specific rules for distinguishing between voltage rises and drops in the context of KVL.

Contextual Notes

Limitations include a lack of consensus on the rules for assigning polarities to resistors and the implications of different battery configurations on voltage behavior.

wahaj
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I am having trouble understanding how to assign polarities to voltage when it goes through components of a circuit and how those polarities determine the sign of the quantities I put in the KVL equation. Attached is a picture of a circuit. The points where polarity matters are labeled 1-14. I am trying to find the voltage of battery 1/2. I know how to assign polarities to batteries but are there any rules I should obey when assigning polarities to resistors? Also what happens to voltage when batteries are connected like battery 1/2 and battery 3/4 in the picture? Also when putting quantities in the kvl equation how can I determine which quantity is positive and which is negative? and lastly what role do polarities play when solving circuit problems?
 

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It doesn't matter as long as you are consistent. If you guess wrong all that will happen is that when you solve the system of equations one of the voltages will be negative.
 
if you assign all +/- pairs consistently going around the loop, the sum of the voltages must equal zero.

but if you assign the polarities as you see fit, then, going around the loop (either clockwise or counter-clockwise), then KVL says that the sum of the voltage rises equals the sum of the voltage drops.

both versions say the same thing.
 
ok so when putting the voltages in the equation how do I distinguish between the two different polarities? another way to say this is how to I know when the voltage drops and when the voltage rises?
 
Last edited:

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