Arc in a circuit behaves as a resistance increasing with voltage rise across the arc.
As the voltage across an arc increases, the resistance of the arc also increases because the gas in the arc channel is ionized, and the ionization process reduces the number of free electrons available to carry current.
As a result, the resistance of the arc channel increases, and the voltage drop across the arc also increases.
This can cause the arc to become more stable and less likely to be extinguished, which can be dangerous and damaging to electrical equipment.
Circuit breakers and other protective devices are designed to quickly extinguish the arc and interrupt the current flow before it can cause damage.