Finding I3: Resistance Ratio Calculation

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Homework Help Overview

The discussion revolves around applying the current divider rule to calculate the current I3 in a circuit involving resistances R2, R3, and R4. Participants are examining the correct formulation for I3 based on the arrangement of these resistances.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are comparing two different formulas for I3 and questioning which is appropriate given the circuit configuration. There is an exploration of the implications of setting R3 equal to R2 and how that affects the expected outcome for I3.

Discussion Status

The discussion is active, with participants providing insights into the correct application of the current divider rule. Some guidance has been offered regarding the relationship between the resistances and the expected current values, but there is no explicit consensus on the final answer.

Contextual Notes

Participants are working within the constraints of a homework problem, which may limit the information available about the circuit configuration. There is an emphasis on understanding the relationships between the resistances rather than arriving at a definitive solution.

hquang001
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Homework Statement
In the figure below, how can i apply current divider to find I3 ?
Relevant Equations
[tex] Ix = \frac{Rt}{Rt +Rx} I [/tex]
163404105_973609490135196_3780337236855681454_n.jpg

Should it be I3 = \frac{(R2+R4)}{(R2+R4) +R3} I
or I3 = \frac{R2}{R2 +R3} I
 
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hquang001 said:
Homework Statement:: In the figure below, how can i apply current divider to find I3 ?
Relevant Equations:: Ix = \frac{Rt}{Rt +Rx} I

View attachment 280158
Should it be I3 = \frac{(R2+R4)}{(R2+R4) +R3} I
or I3 = \frac{R2}{R2 +R3} I
Ok i know the answer,
in this case R2 is not in series with R4 so the second answer is correct
 
If you set ##R_3=R_2## which of the two choices gives you the expected answer ##I_3=\dfrac{I}{2}##?
 
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kuruman said:
If you set ##R_3=R_2## which of the two choices gives you the expected answer ##I_3=\dfrac{I}{2}##?
The second one
 
Right.
 

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