Why Does I Appear in the Voltage Equation for Parallel Circuits?

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Homework Help Overview

The discussion revolves around the role of current (I) in voltage equations for parallel circuits, specifically questioning its presence in the equation V = (I + I1)R. Participants are exploring the relationships between current and voltage in the context of circuit analysis.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the necessity of including the total current (I) in the voltage equation, with some suggesting that it may not be required if considering only one branch. Others are exploring the implications of additional loops in the circuit and how current splits across branches.

Discussion Status

The discussion is active, with participants providing insights and clarifications regarding the current's role in the equations. There is an acknowledgment of the complexity introduced by multiple branches and loops, and some participants express understanding as the conversation progresses.

Contextual Notes

There appears to be some confusion regarding the distribution of current in parallel branches and how it relates to the overall voltage equation. The original poster and others are grappling with the assumptions about current flow in the circuit setup.

sparkle123
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I don't understand how I comes into play in the four equations.
For example, in V = (I + I1)R, shouldn't it just be
V = I1R?
Or V = (I(component through bottom wire) + I1)R?

Any help would be greatly appreciated. Thanks!
 

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Imagine that there's another loop involved, one that is supplying the voltage V and current I at the given nodes:

attachment.php?attachmentid=47004&stc=1&d=1336261548.gif


I think you'll see where the "I" is coming from.
 

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Thank you very much! But isn't the I split between the three branches instead of going entirely through the bottom one? Thanks again!
 
Oh I get it - thank you! :)
 

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