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Stan’s Legacy

Electric field across a gap

How strong is the field between two electrodes at this voltage and spacing?

The formula
E=Vd
E
Electric field, V/m
V
Voltage, V
d
Gap, m
LaTeX
E = \frac{V}{d}

Work it out

V

The potential difference across the gap.

mm

The electrode separation.

Method

  1. Convert the gap to metres.
  2. Divide the voltage by the gap. This is the field for a uniform, parallel-plate gap — the same relation the cell capacitance calculations use for the field across the water.

Assumptions

  • The electrodes are parallel plates with the field uniform between them and zero outside — a real point, wire or irregular electrode concentrates the field near sharp features far above this average figure.
  • No space charge. A gas gap that is already partly ionised distorts the field it sits in, which this static picture does not capture.