Kirchhoff’s second law, also known as the loop rule, states that the algebraic sum of all electromotive forces (emfs) and potential differences (voltage drops) around any closed loop in an electrical circuit is zero. Mathematically, this can be expressed as:
\[
\sum \mathcal{E} + \sum V = 0,
\]
where \( \mathcal{E} \) represents the emfs and \( V \) represents the potential drops across circuit elements.
This law is a direct consequence of the conservation of energy principle, implying that as a charge moves around a complete loop, the net energy gained must equal the net energy lost. Thus, the total energy supplied by sources in the loop is completely used up by the resistive elements and other components.