Solving Current Divider: Find i1 and i2

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In summary, the conversation revolves around finding i1 and i2 using current divider, with one person questioning the accuracy of the equation and another person providing the correct equations for both i1 and i2.
  • #1
-EquinoX-
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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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  • #2
I am amazed that no one is willing to answer or help me out
 
  • #3
i1 = (is * R1+Y1) / (R1+Y1 + R2 + Y2)
It is not correlate. It should be

i1 = is * (R2+Y2) / (R1+Y1 + R2 + Y2)
 
  • #4
and then so i2 is:

i1 = is * (R1+Y1) / (R1+Y1 + R2 + Y2)
 
  • #5
Yes.

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

1. How do you calculate the current in each branch of a current divider?

To calculate the current in each branch of a current divider, you can use the current divider formula: i1 = (R2 / (R1 + R2)) * Isource and i2 = (R1 / (R1 + R2)) * Isource, where R1 and R2 are the resistances in each branch and Isource is the total current entering the divider.

2. What is the purpose of a current divider?

A current divider is used to split a single current into two or more smaller currents that flow through different branches of a circuit. This can be useful in cases where different components in a circuit require different currents to operate effectively.

3. How do you determine the equivalent resistance in a current divider circuit?

In order to determine the equivalent resistance in a current divider circuit, you can use the formula: Req = (R1 * R2) / (R1 + R2), where R1 and R2 are the resistances in each branch. This equivalent resistance can then be used to calculate the total current in the circuit.

4. What happens to the current in a branch if the resistance in that branch is increased?

If the resistance in a branch of a current divider is increased, the current in that branch will decrease. This is because the total current entering the divider remains the same, but the increased resistance will create a larger voltage drop and limit the current flow.

5. Can a current divider be used in AC circuits?

Yes, a current divider can be used in both DC and AC circuits. However, the calculations for current and resistance may be slightly different in AC circuits due to the presence of impedance, which takes into account both resistance and reactance.

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