Current divider Example # 5: Impact of Adding another Resistor

Solution: A current divider having two unknown resistors connects to an input source of 10 A. The current passing through one resistor is 4.117 A. Find the unknown values.

Solution:

Apply the current divider formula for the resistor R_2.

From this we get the equation:

5.883 R_1 - 4.117 R_2 = 0 .. (1)

Now by adding the second resistor, the new equation becomes:

From which we get the final result,

6.818 R_1 - 3.182 R_2 = 15.91 .. (2)

By solving both equations we get the final values of resistors:

R_1 = 7 Ω

R_2 = 10 Ω

To learn more about Current divider Check out these links:

1. Current divider example # 1: Two resistors with 500 ohms and 800 ohm
2. Current divider example # 2:  Two equal resistors having values 200 ohm
3. Current divider example # 3: Finding value of unknown resistor
4. Current divider example # 4: Designing a current divider for 20 mA current