Buck Output Ceiling Boundary Three-Row Scan - Electronic Circuits XIII & XIV: Power Supplies and Switching Energy Step by Step

Accepted duty rows are checked against an output-voltage ceiling. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

1/3 duty row

Input stays 12 V. Accepted duty 1/3 gives output 4 V against a 6 V ceiling, so margin is 2 V.

V_o=4\ \text{V},\quad m=2\ \text{V}\Rightarrow\text{pass}

1/2 duty row

Input stays 12 V. Accepted duty 1/2 gives output 6 V against a 6 V ceiling, so margin is 0 V.

V_o=6\ \text{V},\quad m=0\ \text{V}\Rightarrow\text{pass}

2/3 duty row

Input stays 12 V. Accepted duty 2/3 gives output 8 V against a 6 V ceiling, so margin is negative 2 V.

V_o=8\ \text{V},\quad m=-2\ \text{V}\Rightarrow\text{fail}