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

AI Thread Summary
The discussion centers on the role of current (I) in the voltage equation for parallel circuits, specifically questioning its inclusion in V = (I + I1)R. Participants clarify that I represents the total current supplied to the circuit, which splits among the branches. The confusion arises from understanding how current divides in parallel configurations, with I not flowing entirely through one branch. The explanation emphasizes that I is essential for calculating total voltage across the circuit. Ultimately, recognizing the split of current in parallel circuits clarifies the equation's structure.
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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