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Kirchhoff's loop equation is a fundamental principle in electronics used to analyze electric circuits with multiple loops. It's derived from the law of conservation of energy.

The loop equation states that the sum of all electromotive forces (voltages from sources like batteries) around any closed loop in a circuit must equal the sum of all potential drops (voltages across resistors) in that same loop. This means that the total energy supplied by the sources within a loop is entirely dissipated by the components in that loop.12

By applying this rule, along with Kirchhoff's junction theorem (which deals with current at circuit junctions), engineers can write a system of equations to solve for the unknown currents in different parts of a complex circuit. These principles are applicable to both direct current (DC) and alternating current (AC) circuits.123

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