The Pearson–Anson effect, discovered by Stephen Oswald Pearson[1][2] and Horatio Saint George Anson[3], is the phenomenon of an intermittent electrical current through an electrical load exhibiting S-shaped negative resistance (e.g., a neon lamp) connected in parallel to an accumulating element. In Pearson and Anson's original circuit, a neon lamp is connected in parallel to the capacitor of an RC circuit that is permanently supplied by a voltage source.
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The power supply continuously charges the capacitor through the resistor. As the neon lamp exhibits negative differential resistance in the A–B part of its I–V curve (see the figure on the right), if it is driven by a voltage source (the charged capacitor here), it behaves as a switching element with hysteresis (a sort of Schmitt trigger).
Once the voltage across the lamp exceeds a critical value (the high voltage threshold) at point A of its I–V curve, the current through the lamp "jumps" up to a higher value (the point C that stays exactly above the point A); the voltage across the lamp does not change in this instant.
The capacitor quickly discharges through the neon lamp (that also absorbs the whole current flowing through the resistor) and the voltage across the capacitor quickly decreases (a small resistor may be added in series to the lamp to limit the current and to extend the discharging duration). When it reaches the lamp's critical voltage (the low voltage threshold) at point B, the current through the lamp "jumps" down to a lower value at the point D directly beneath the point B – the voltage across the lamp remains constant in this instant.
As the current flowing through the neon lamp is too small to keep it conductive, the lamp extinguishes and the current from the power supply begins recharging the capacitor until the cycle repeats. The circuit therefore exhibits a low-frequency relaxation oscillation, during which the lamp flashes each time it conducts.
It is interesting fact that, in this old-fashioned arrangement, the humble neon lamp with RC circuit performs all the functions of the contemporary electronic 555 timer plus flashing! That is why this circuit is referred to as "elegant simplicity"[4]