A double-current-quadruples-energy scan holds the inductance fixed and varies the current across three rows, checking that stored energy E = L * I^2 / 2 rises with the square of current row by row. The arithmetic is exact only for the stated inductances, currents, stored energies, and rows in the ideal lossless inductor model. Real inductors add winding resistance, core saturation, core loss, switch loss, current-sense/probe calibration limits, finite precision, and measurement uncertainty.
Changing only current exposes the square in the energy law. 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 is the squared variable
The inductance stays at 2 H. Changing current changes stored energy by the square.
E∝I2when L is fixed
Energy grows by the square of current
The rows show why a doubled current stores four times as much energy in the same inductor.
L2H2H2HI1A3A6AE1J9J36J
Doubling current quadruples the stored energy
The inductor is unchanged. The current is squared before the energy is computed.