Can You Use the Current Divider Formula to Find I3 Directly?

[john88]

Hi I want someone to guide me through this by using current divider, where I want to find I3. Can I use the current divider formula directly or?

http://img442.imageshack.us/img442/7952/picha1.jpg

 

[CEL]

Hi I want someone to guide me through this by using current divider, where I want to find I3. Can I use the current divider formula directly or?

http://img442.imageshack.us/img442/7952/picha1.jpg

You must use the current divider twice.
First associate R2, R3 and R4 in a single resistor and calculate the current through the association, then use this current to calculate i3.

 

[Mehrin Salim]

somebody reply me='(...MEHRIN SALIM

 

[berkeman]

somebody reply me='(...MEHRIN SALIM

CEL did reply to you. Show us your work as you apply CEL's advice.

 

[DeeNos]

I would be happy to guide you through using the current divider circuit to find I3. The current divider formula can be used directly in this situation, but it is important to understand the principles behind it.

The current divider circuit is a useful tool for finding the current flowing through a specific branch of a circuit. It is based on the principle that the total current entering a junction will split into smaller currents as it passes through different branches. The amount of current flowing through each branch is inversely proportional to the resistance of that branch.

In the circuit provided, we can see that there are two branches - one with a resistance of 2Ω and one with a resistance of 4Ω. To find the current flowing through each branch, we can use the current divider formula:

I3 = (I1 * R2) / (R1 + R2)

Where I3 is the current flowing through the 4Ω branch, I1 is the total current entering the junction, R2 is the resistance of the 4Ω branch, and R1 is the resistance of the 2Ω branch.

Substituting the values from the circuit, we get:

I3 = (5A * 4Ω) / (2Ω + 4Ω)

I3 = 20/6 A

I3 = 3.33 A

Therefore, using the current divider formula, we can determine that the current flowing through the 4Ω branch (I3) is 3.33 A.

I hope this explanation helps guide you through using the current divider circuit to find I3. Remember, it is important to understand the principles behind the formula in order to apply it correctly in different situations.