Solving Current Divider: Find i1 and i2

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SUMMARY

The discussion focuses on solving a current divider problem to find the currents i1 and i2. The correct formulas derived from the current divider rule are i1 = is * (R2 + Y2) / (R1 + Y1 + R2 + Y2) and i2 = is * (R1 + Y1) / (R1 + Y1 + R2 + Y2). Participants clarified the correct application of the current divider formula, emphasizing the importance of accurately identifying the resistances and admittances involved in the circuit. The conversation highlights common misconceptions and the need for precise calculations in electrical engineering problems.

PREREQUISITES
  • Understanding of current divider rule in electrical circuits
  • Familiarity with resistances (R1, R2) and admittances (Y1, Y2)
  • Basic knowledge of circuit analysis techniques
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the current divider rule in detail with examples
  • Learn about the relationship between resistances and admittances in circuits
  • Practice solving complex circuit problems using Kirchhoff's laws
  • Explore simulation tools like LTspice for circuit analysis
USEFUL FOR

Electrical engineering students, circuit designers, and anyone looking to deepen their understanding of current division in electrical circuits.

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Homework Statement



http://img694.imageshack.us/img694/9065/deltay.jpg

Homework Equations





The Attempt at a Solution



I am asked to find i1 and i2 using current divider, so is this correct:

i1 = (is * R1+Y1) / (R1+Y1 + R2 + Y2)

i2 = (is * R2+Y2) / (R1+Y1 + R2 + Y2)
 
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I am amazed that no one is willing to answer or help me out
 
i1 = (is * R1+Y1) / (R1+Y1 + R2 + Y2)
It is not correlate. It should be

i1 = is * (R2+Y2) / (R1+Y1 + R2 + Y2)
 
and then so i2 is:

i1 = is * (R1+Y1) / (R1+Y1 + R2 + Y2)
 
Yes.

i2 = is * (R1+Y1) / (R1+Y1 + R2 + Y2)
 

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