The size of a switch is influenced by the stored energy it must interrupt and the circuit's inductance. When a switch disconnects, the proximity of the circuit sides can lead to arcing, which is undesirable. Inductance can exacerbate this issue by causing voltage spikes when the magnetic field collapses, increasing the risk of arcing. Switches are designed with interrupt capacity in mind to safely handle these conditions, employing various protection methods like magnetic fields and barriers to prevent arcing. Understanding these factors is crucial for effective switch design and operation.