
Evan C. answered 05/12/25
GMU Electrical Engineering Graduate | Experienced Math & Science
The junction rule says that at any point where wires meet, the total current flowing in equals the total current flowing out.
The loop rule says that if you go all the way around any closed path in a circuit, the sum of the voltage rises and drops you encounter is zero.
Solving with the Junction Rule (Kirchhoff’s Current Law)
- Choose a junction in the circuit where three or more wires meet.
- Assign a direction to each branch current (arrows in or out).
- Write the equation “sum of currents entering = sum of currents leaving.”
- Substitute any known currents, then solve the equation for the unknown(s). When solving for unknowns, remember your Ohms law (I = V/R). Also remember your passive sign convention
Solving with the Loop Rule (Kirchhoff’s Voltage Law)
- Identify independent loops (closed paths) in the circuit.
- Assign a loop current for each (direction doesn’t matter, but be consistent).
- Traverse each loop in your chosen direction, adding voltage rises as positive and drops as negative.
- Write “sum of voltages = 0” for each loop.
- Substitute known voltages or resistances (using Ohm’s Law, V=IR, if needed).
- Solve the resulting system of equations for the unknown currents or voltages.