Loaded Divider KCL Three-Row Scan - Electronic Circuits II Step by Step

The output node current split closes by exact KCL for every load row. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The output node is a current-sum checkpoint

At the loaded output node, source current splits into bottom current and load current. The helper checks that split before the diagram is rendered.

I_s=I_b+I_L

Every row closes the node current sum

The source current column equals the bottom-branch current plus the load-branch current in each row.

\begin{array}{c|c|c}I_b&I_L&I_s\\1\ \text{A}&1\ \text{A}&2\ \text{A}\\\tfrac{4}{5}\ \text{A}&\tfrac{8}{5}\ \text{A}&\tfrac{12}{5}\ \text{A}\\\tfrac{2}{3}\ \text{A}&2\ \text{A}&\tfrac{8}{3}\ \text{A}\\\end{array}

The first row splits two amperes into one plus one

For the rendered row, the source current is 2 amperes, and the two outgoing branch currents are each 1 ampere.

1\ \text{A}+1\ \text{A}=2\ \text{A}