A Jacob's ladder (more formally a travelling arc) is a device for producing a continuous train of large sparks that rise upwards. 

The spark gap is formed by two wires positioned vertical but gradually diverging from each other towards the top in a narrow V shape.

When a high voltage approximately above 10,000v is applied to the gap, a spark forms across the bottom of the wires where they are nearest to each other, rapidly changing into an electric arc. Air breaks down at about 30kV/cm depending on humidity and temperature.

When an arc forms it is virtually a short circuit and so the voltage drops and the current rapidly raises and will draw as much current as the power supply can deliver. Consequently, some form of current limiting is required to sustain the arc without destroying the power supply.

An electric arc is essentially hot ionized air (plasma) and will rise carrying the current path with it. As the trail of ionization gets longer, it becomes more and more unstable and finally breaks. The voltage across the electrodes then rises and the spark re-forms at the bottom of the device.

Requirements:

  1. High Voltage Transformer or Inverter greater than 8kv with current regulation (neon transformers are ideal)
  2. Electrodes that can support their weight and be shaped into a V.  Stainless steel rod is good, the resistance of the metal provides more current regulation, it is strong and dissipates heat well.
  3. Insulators to mount electrodes that  both insulate a High Voltage and heat (Ceramic is best)
  4. Ventilated metal enclosure for the transformer to avoid fire risk
  5. Ventilated glass case to enclose the whole display, this device is dangerous not only electrically it is also a fire risk, plastic burns.  Ventilated as it can produce fumes of ozonecarbon monoxidenitrous oxide and other compounds.
  6. The glass case needs a firm base to avoid tipping, lockable to avoid people opening it.