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Electrical Laws

Kirchhoff’s Voltage Law (KVL)

Kirchhoff’s voltage law states that the algebraic sum of voltage changes around any closed loop is zero. In a simple series circuit this means the source voltage equals the sum of the voltage drops across the elements. The law follows from energy conservation: a charge that travels around a closed loop must return to the same potential it started from.

Kirchhoff’s Voltage Law (KVL)
Σ V = 0

Variables and units

SymbolQuantityUnit
Σ V Algebraic sum of voltage changes around a closed loop V

Conditions of application

Energy conservation around a closed loop of a lumped circuit. Choose a loop direction and keep the sign convention consistent for rises and drops.

Worked example

Solved
Put this formula to work

Solve V = I × R for voltage, current or resistance and check power.

Ohm's Law Calculator →
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