Kirchoff's Loop Rule: Compute R2 Current

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Homework Help Overview

The problem involves calculating the current through resistor R2 in a circuit using Kirchhoff's loop rule. The original poster presents a circuit diagram and outlines their attempts to apply Kirchhoff's laws to find the currents in the circuit.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the relationships between the currents at junctions and in loops, with some expressing uncertainty about how to isolate variables. There are attempts to express currents in terms of each other, and questions arise regarding the setup of the equations and the variables involved.

Discussion Status

Some participants have provided guidance on how to express one current in terms of others, while others are still grappling with the algebraic manipulation needed to reduce the number of variables. There is an indication of progress as one participant claims to have found a current value, though the validity of this result is not confirmed by others.

Contextual Notes

The original poster notes that they lack one of the current values, which is affecting their ability to proceed with the calculations. There are also references to additional components in the circuit diagram that were added by the poster, which may not be standard in similar problems.

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Homework Statement



Compute the current through R2 of the circuit in the figure.

Homework Equations


kirchoff's loop rule
V=IR

The Attempt at a Solution


Junction: I1+I2=I3

Alpha loop: V1-I3R3-I5R5=0
I1=(V1-I5R5)/R3=?

Beta loop: V2-I8R8-I5R5=0

*without one of the currents provided I am not exactly sure where to proceed from here...any help would be greatly appreciated! Anything that is a different color than black in the figure is what I added to the circuit diagram! Thank You PF!
 

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You have two of the currents (in terms of other variables) so you can find the third.
 
I have been trying to figure out the algebra but I am always left with two variable (grouping of I1, I2, or I3). I am not sure how I can get it down to just one variable for current...
 
start here:

I3 = I1 + I2

and you know what I1 and I2 are, yeah? So...

I3 = ?
 
I3=(-5v+(5ΩI8))/-8Ω

?
 
I'm not sure what you did there... I1 and I2 will be in terms of I3 and your knowns.

Actually, I'm not quite sure what you did for your alpha/beta loops either. There is no I5 or R5 or I8/R8. Don't try to plug in your values yet, just use the names of the constants.
 
I think I figured it out I have a value of 1.076A through R2. really appreciate the help :)
 

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