All things being given - separation, breakdown V, temperature, and so on... If I have two pins and they are both connected to a high voltage capacitor & switch - (supposing the circuit has zero resistance aside from the separation and air) How much current will flow in the spark which arcs between them? (smooth surfaces if the shape of the pin is going to play into it... keep it simple for now) two cases: one where the voltage is the bare minimum to breakdown the air, and another with excessive voltage. --what would dβ/dt be? (can i use biot-savart ?) if I had a cleverly designed coil, so as to capture all of the magnetic flux from the current, would the current in the spark depend on the inductance of the coil?