Kirchhoff's voltage law

The algebraic sum of all voltage drops and rises around any closed loop in an electrical circuit is zero. It follows from conservation of energy and is used to write loop equations when analysing circuits.

\sum_{k=1}^{n} V_k = 0

What the symbols mean

voltage across the k-th element around the closed loop, in volts (V)
number of elements in the loop

About this formula

  • FieldPhysics
  • TopicCircuit theory
  • LevelHigh school
  • Also calledKVL, Kirchhoff's loop rule, sum of voltages around a loop, loop rule circuit, second Kirchhoff law, voltage law loop equation

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