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Kirchhoff's voltage law(KCL)

If there are n currents flowing into or out of a node, they satisfy the following equation. $$ \begin{flalign*} \sum^n_{i=1} I_i = 0 && \end{flalign*} $$ Therefore, we can find any unknown current as follows. $$ \begin{flalign*} I_j = -\sum^n_{i\neq j} I_i && \end{flalign*} $$

Kirchhoff's voltage law(KVL)

If there are n voltages in a closed loop, they satisfy the following equation. $$ \begin{flalign*} \sum^n_{i=1} V_i = 0 && \end{flalign*} $$ Therefore, we can find any unknown voltage as follows. $$ \begin{flalign*} V_j = -\sum^n_{i\neq j} V_i && \end{flalign*} $$

Nodal analysis

Mesh analysis

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