Well David,

I'm glad you liked it; but you didn't shoot any holes in it.

Transient analysis always applies...AC or DC...until you reach steady
state.

As a matter of fact, since the time constant for my assumed human body
model (RC circuit 330pF and 5KOhm) is about 1.65uSec...when you first
touch the circuit it will be very much like a DC response (think about
it, the AC voltage has a period of 16mSec (in the US) so it won't change
hardly at all during the first 5 time constants.  (how much does AC line
voltage change in 5 to 10usec?  Not much at all)

Most people assume that the initial transient conditions are over after
about 5 time constants.

I already did the math...at time zero, you will be subjected to 24mA of
current, (assuming 120VAC and 5Kohm charging resistance through the
body) which is well above the threshold of human sensation.

Now, the current will only last a few time constants as your body
capacitor gets up to charge.  This would be a period of about 5 to 10
uSec.

Can the human body feel such a phenomenon?

Well, the human body can feel an ESD event which is even faster. (a
period in the 100's of nanoseconds range).

It would be about equivalent to setting your ESD gun to 120V and giving
yourself a zap.

I haven't worked up enough courage to go to my ESD gun yet...I think
I'll let the numbers and inferences stand for themselves.

Chris Maxwell
Design Engineer
Nettest



From: David Heald [mailto:hea...@symbol.com]
Sent: Monday, December 06, 2004 1:30 PM
To: ken.ja...@emccompliance.com; emc-p...@ieee.org; Chris Maxwell
Subject: RE: Is one-handed electrical shock possible?

Most entertaining - particularly the last few posts :).

Chris,

I like your theory, and so I hate to shoot a hole in it... but this is
AC, not DC (your model would be great for DC) - so we'd have a constant
state of charge/discharge.

Unless...the 60Hz is too slow to feel one handed, in which case the
initial shock would also depend on the absolute value of the voltage at
the time of contact.  I'd like to see a current flow simulation run with
AC including current at t=0 when the capacitor is connected to the AC
source.  You could get lucky and touch it when it was crossing zero and
get no initial shock (?) or get progressively worse shocks as you
reached peak voltage (woo-hoo!).  I'm sure I could do the math and
figure this out, but it's Monday.

Best Regards,
-Dave Heald

While reading these posts, I was reminded of the time in college I was
installing outlets at a campground and someone went down the hill to
turn on the power (I was almost done).  I apparently got distracted
becasue a few minutes later I was still connecting wires and my hand
started feeling funny.  It took me a minute to realize what had changed
and to adjust my grip on the outlet so that I was holding the top and
bottom (not the sides) as I finished connecting the last wire.




>>> "Chris Maxwell" <chris.maxw...@nettest.com> 12/06/04 12:07PM >>>
Well Ken, I always admire a man who will put his tongue on the battery
for the sake of scientific knowledge.  I also admire a man willing to
put up with a little electrolyte for the sake of canine companionship.
There is only one living entity that is ALWAYS happy to see you come
home...your dog :-)

A couple of comments.

According to "Electrical Engineering" by Carlson and Gisser; the
threshold of sensation for the human body is about 1mA

According to this same reference, the resistance through the human body
varies from 500KOhm down to 1 KOhm depending upon whether the skin is
wet or dry.

You are probably correct about capacitance; and perhaps you have a good
measurement of capacitance from your steady state measurements.

If you go through the math, your body impedance with socks on does come
out to about 10MOhm (according to your experiment, assuming the DMM has
an internal impedance of 10MOhm).  This impedance may be very much
capacitive...and as a matter of fact, isn't that far from the human body
capacitance values assumed for EN 1000-4-2 (330pF, I believe)

I THINK THAT IT'S EUREKA TIME!!!

Run with the human body model from EN 61000-4-2.  Assume that the human
body is a 330pF cap in-line with ...say 5K of resistance.

If you perform a steady state calculation (calculating the impedance of
the cap as 1/2piFC)...you'll get an AC impedance of 5KOhm + 8.038MOhm.

If you divide 120VAC by this, you'll get micro amps...too little to
feel.


WE ALL FORGOT THE FIRST ASSUMPTION OF ELECTRICAL ENGINEERING...IMPEDANCE
ASSUMES STEADY STATE.  WHAT ABOUT THE INITIAL CONDITION?  AT TIME ZERO,
THE CAPACITOR LOOKS LIKE A SHORT CIRCUIT, LEAVING ONLY THE SERIES
RESISTANCE

In actuality, the one handed shock that you get is probably due to the
in-rush current charging your body capacitance.  The in-rush current may
only last milliseconds; but that is probably long enough to feel it.

If you really want to see the current, do a spice simulation with a
120VAC source.  Put 330pF and 5Kohm in series with the source and run a
..TRAN analysis on it.  Then look at the current over the initial few
milliseconds...it should be more like 120VAC/5Kohm...which would be
24mA...plenty enough to feel.

So, it seems that a shock is quite a matter of luck, depending upon the
potential that your body happens to be charged to when you put your hand
on that hot conductor.   Insulated footwear, pillows, carpets...will
lessen the steady state current; but you're still going to get the
in-rush as your body charges up to line potential from whatever
potential it was at.

Further comments?

Chris Maxwell
Design Engineer
Nettest


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