Hi

A 5 kV peak voltage between needle points will produce a spark 0.42
centimeters.

See "Handbook of Chemistry and Physics" under "Spark-Gap Voltages".

There is a table for spark gap distance versus voltage and electrode
shape.  There are also corrections for temperature and pressure.

The work was published by the American Institute of Electric Engineers.
I do not know the original date of publication.   I believe the AIEE and
the Institute of  Radio Engineers formed the Institute of Electrical and
Electronics Engineers in 1965.

Regards

Bob Schlentz




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