ramp-voltage-time-inductance-three-row-scan - Electronic Circuits XIII & XIV: Power Supplies and Switching Energy Step by Step

An inductor current ramp comes from volt-seconds divided by inductance, so voltage, time, and inductance all share the same checked quotient. The rows use exact training values for ideal inductors; real switching ramps include winding resistance, core limits, switch voltage drops, parasitic capacitance, timing tolerance, and current-measurement uncertainty.

The inductor ramp quotient is scanned with three exact rows. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Current change is voltage time divided by inductance

Each row is a full checked inductor ramp. The numerator is voltage times interval; inductance is the denominator.

\Delta I={V\Delta t\over L}

Three ramp rows expose every part of the quotient

The rows change voltage, interval, and inductance, but every current change is computed by the same checked relation.

\begin{array}{c|c|c|c|c}L&V&\Delta t&V\Delta t&\Delta I\\2\ \text{H}&6\ \text{V}&1\ \text{s}&6\ \text{V}\cdot\text{s}&3\ \text{A}\\3\ \text{H}&6\ \text{V}&2\ \text{s}&12\ \text{V}\cdot\text{s}&4\ \text{A}\\4\ \text{H}&8\ \text{V}&3\ \text{s}&24\ \text{V}\cdot\text{s}&6\ \text{A}\\\end{array}

The displayed current change comes from the checked ramp

The final row is not hand-labeled: the same source object displays the voltage, time, inductance, current change, and final current.

\Delta I=8\ \text{V}\cdot3\ \text{s}/4\ \text{H}=6\ \text{A}