Stored Energy Ceiling Three-Row Scan - Electronic Circuits XIV: Inductors and Switching Energy Step by Step

The square-current energy ledger is checked against an energy 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 A energy row

Inductance stays 2 H. Current 1 A stores 1 J against a 4 J ceiling, so margin is 3 J.

E=1\ \text{J},\quad m=3\ \text{J}\Rightarrow\text{pass}

2 A energy row

Inductance stays 2 H. Current 2 A stores 4 J against a 4 J ceiling, so margin is 0 J.

E=4\ \text{J},\quad m=0\ \text{J}\Rightarrow\text{pass}

3 A energy row

Inductance stays 2 H. Current 3 A stores 9 J against a 4 J ceiling, so margin is negative 5 J.

E=9\ \text{J},\quad m=-5\ \text{J}\Rightarrow\text{fail}