\[I_1=I_T\frac{R_2}{R_1+R_2}\]
Variables
I1branch current (A)
Ittotal current (A)
R1branch resistance 1 (ohm)
R2branch resistance 2 (ohm)
Description
What is this formula?
This formula calculates the current flowing through one branch of a parallel resistor network using the current divider principle.
When to use it
Use it when analyzing parallel electrical circuits where current splits between different branches.
Example
Data:
It = 12 A
R1 = 4 ohm
R2 = 8 ohm
Formula:
I1 = It*(R2/(R1+R2))
Substitution:
I1 = 12*(8/(4+8))
Result:
I1 = 8 A
Applications
Circuit analysis, electrical engineering, current distribution studies, electronics, resistor networks, and educational physics.