Kirchhoff's Current Law Calculator Formula
Understand the math behind the kirchhoff's current law calculator. Each variable explained with a worked example.
Formulas Used
Total Current In
total_in = sum_inTotal Current Out
total_out = sum_outDifference
difference = sum_in - sum_outVariables
| Variable | Description | Default |
|---|---|---|
i_in1 | Current In 1(A) | 2 |
i_in2 | Current In 2(A) | 1 |
i_out1 | Current Out 1(A) | 1.5 |
i_out2 | Current Out 2(A) | 1.5 |
sum_in | Derived value= i_in1 + i_in2 | calculated |
sum_out | Derived value= i_out1 + i_out2 | calculated |
How It Works
Kirchhoff's Current Law (KCL)
Total current entering a junction equals total current leaving.
Principle
Sum(I_in) = Sum(I_out)
Based on conservation of charge.
Worked Example
2 A and 1 A entering, 1.5 A and 1.5 A leaving.
i_in1 = 2i_in2 = 1i_out1 = 1.5i_out2 = 1.5
- 01Total in = 2 + 1 = 3 A
- 02Total out = 1.5 + 1.5 = 3 A
- 03Difference = 0 A. KCL satisfied.
Ready to run the numbers?
Open Kirchhoff's Current Law Calculator