Kirchhoff’s voltage law
Go around any closed loop adding rises and subtracting drops, and you always get back to zero. Here two opposing sources share one loop.

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How it works
Clockwise: +V1 − I·R1 − I·R2 − V2 − I·R3 = 0
I = (V1 − V2) / (R1 + R2 + R3) = (12 V − 5 V) / 2.97 kΩ = 2.357 mA
Try it on the bench
- Raise V2 above V1. The current reverses and every drop changes sign, but the sum is still zero.
- Add a fourth resistor anywhere in the loop.
Parts on the bench
- 2 × Bench power supply
- 2 × Digital multimeter
- 3 × Resistor
In the course
Zen’s Electronics Design Mastery, module “DC Circuit Analysis”.