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Re: About the skin effect in humans
Original poster: Jim Lux <jimlux-at-earthlink-dot-net>
At 08:19 AM 5/21/2004 -0600, you wrote:
>Original poster: "mercurus2000" <mercurus2000-at-cox-dot-net>
>I was just curious, I hear the skin effect in human beings still very deep
>at standard tesla coil frequencies, does anyone here have references or
>sources as to where the information is gathered about how deep currents
>penetrate into the human bodies at different frequencies?
>Thanks,
>Adam
The standard equation for skin depth
The skin depth is the depth of a layer that if, the current were uniformly
distributed, would carry the same current density as the whole thing. In
the real thing, the current density falls off as exp(-x), so the classic
definition of skin depth is where the current is 1/e (exp(-1)) that at the
surface. (integrate e^x, etc., and you see that it works out...)
The depth is inversely proportional to the square root of
(conductivity*permeability*frequency)
In equations:
depth = c/sqrt(2*pi*sigma*mu*omega)
c= speed of light (3E8 m/sec)
sigma = conductivity
mu = permeability (4*pi*1E-7 for free space/non magnetic substances)
omega = (2*pi*frequency)
Some qualitative observations:
Higher conductivity: smaller skin depth
Ferrous materials: smaller skin depth (why steel is a good shield for
magnetic fields)
Higher frequency: smaller skin depth.