Finding I3: Resistance Ratio Calculation

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SUMMARY

The correct formula for calculating the current I3 in a circuit with resistors R2, R3, and R4 is I3 = R2 / (R2 + R3) * I. This conclusion is reached by recognizing that R2 is not in series with R4, making the first proposed formula incorrect. When R3 is set equal to R2, the expected result of I3 = I/2 is achieved using the second formula. This analysis clarifies the application of the current divider rule in this context.

PREREQUISITES
  • Understanding of Ohm's Law
  • Familiarity with current divider rule
  • Basic knowledge of series and parallel resistor configurations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the current divider rule in detail
  • Explore resistor configurations in circuit analysis
  • Learn about series and parallel circuits
  • Practice problems involving Ohm's Law and current division
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing electrical circuits will benefit from this discussion.

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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