larger-inductance-slows-the-ramp - Electronic Circuits XIII & XIV: Power Supplies and Switching Energy Step by Step

A larger-inductance-slows-the-ramp scan holds the voltage and interval fixed and varies the inductance across three rows, checking that the current ramp delta-I = V * delta-t / L shrinks as inductance grows row by row. The arithmetic is exact only for the stated inductances, voltages, times, current changes, and rows in the ideal inductor model. Real circuits add winding resistance, core saturation, parasitics, switching transients, probe/calibration limits, finite precision, and measurement uncertainty.

Inductance divides the same voltage-time push. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Inductance divides the same voltage-time push

The voltage-time area is fixed at 6 V for 1 s. Larger inductance spreads that push into a smaller current change.

\Delta I\propto {1\over L}\quad\text{when }V\Delta t\text{ is fixed}

Increasing inductance slows the current ramp

The rows hold voltage and time fixed while inductance grows.

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

A larger inductance slows the same voltage-time ramp

Voltage and interval stay fixed. Only inductance changes, so the current change is halved.

\Delta I=6\ \text{V}\cdot1\ \text{s}/4\ \text{H}=\tfrac{3}{2}\ \text{A}