Kirchhoff's Voltage and Current Laws

A tool for analyzing electric circuits using Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL). Calculate unknown currents and voltages in circuit junctions and loops.

Kirchhoff's Laws Calculator

Kirchhoff's Current Law (KCL)

At any junction in an electric circuit, the total current flowing towards the junction is equal to the total current flowing away from the junction.

Formula: Σ I = I₁ + I₂ + ... + Iₙ = 0

Kirchhoff's Voltage Law (KVL)

In a closed loop in a network, the sum of the voltage drops around the loop is zero.

Formula: Σ U = U₁ + U₂ + ... + Uₙ = 0

Calculator

Inputs

Results

Total Current (Sum of Known Currents)-- A
Unknown Current I₆ (from KCL)-- A
CurrentValue (A)Direction
I₁0.1Towards junction
I₂0.2Towards junction
I₃0.1Towards junction
I₄-0.05Away from junction
I₅-0.15Away from junction
I₆-0.2Away from junction
Calculator

Inputs

Results

Sum of Voltages (KVL Check)-- V
Kirchhoff's Voltage and Current Laws | MEPKit Engineering Tools | MEPKit