Ohm's Law (again!)
A common phrase heard in reference to electrical safety goes
something like this: "It's not voltage that kills, it's current!"
While there is an element of truth to this, there's more to
understand about shock hazard than this simple adage. If voltage
presented no danger, no one would ever print and display signs
saying: DANGER -- HIGH VOLTAGE!
The principle that "current kills" is essentially correct. It is
electric current that burns tissue, freezes muscles, and fibrillates
hearts. However, electric current doesn't just occur on its own:
there must be voltage available to motivate electrons to flow
through a victim. A person's body also presents resistance to
current, which must be taken into account.
Taking Ohm's Law for voltage, current, and resistance, and
expressing it in terms of current for a given voltage and
resistance, we have this equation:
The amount of current through a body is equal to the amount of
voltage applied between two points on that body, divided by the
electrical resistance offered by the body between those two points.
Obviously, the more voltage available to cause electrons to flow,
the easier they will flow through any given amount of resistance.
Hence, the danger of high voltage: high voltage means potential for
large amounts of current through your body, which will injure or
kill you. Conversely, the more resistance a body offers to current,
the slower electrons will flow for any given amount of voltage. Just
how much voltage is dangerous depends on how much total resistance
is in the circuit to oppose the flow of electrons.
Body resistance is not a fixed quantity. It varies from person to
person and from time to time. There's even a body fat measurement
technique based on a measurement of electrical resistance between a
person's toes and fingers. Differing percentages of body fat give
provide different resistances: just one variable affecting
electrical resistance in the human body. In order for the technique
to work accurately, the person must regulate their fluid intake for
several hours prior to the test, indicating that body hydration
another factor impacting the body's electrical resistance.
Body resistance also varies depending on how contact is made with
the skin: is it from hand-to-hand, hand-to-foot, foot-to-foot,
hand-to-elbow, etc.? Sweat, being rich in salts and minerals, is an
excellent conductor of electricity for being a liquid. So is blood,
with its similarly high content of conductive chemicals. Thus,
contact with a wire made by a sweaty hand or open wound will offer
much less resistance to current than contact made by clean, dry
skin.
Measuring electrical resistance with a sensitive meter, I measure
approximately 1 million ohms of resistance (1 MΩ) between my two
hands, holding on to the meter's metal probes between my fingers.
The meter indicates less resistance when I squeeze the probes
tightly and more resistance when I hold them loosely. Sitting here
at my computer, typing these words, my hands are clean and dry. If I
were working in some hot, dirty, industrial environment, the
resistance between my hands would likely be much less, presenting
less opposition to deadly current, and a greater threat of
electrical shock.
But how much current is harmful? The answer to that question also
depends on several factors. Individual body chemistry has a
significant impact on how electric current affects an individual.
Some people are highly sensitive to current, experiencing
involuntary muscle contraction with shocks from static electricity.
Others can draw large sparks from discharging static electricity and
hardly feel it, much less experience a muscle spasm. Despite these
differences, approximate guidelines have been developed through
tests which indicate very little current being necessary to manifest
harmful effects (again, see end of chapter for information on the
source of this data). All current figures given in milliamps (a
milliamp is equal to 1/1000 of an amp):
BODILY EFFECT DIRECT CURRENT (DC) 60 Hz AC 10 kHz AC
---------------------------------------------------------------
Slight sensation Men = 1.0 mA 0.4 mA 7 mA
felt at hand(s) Women = 0.6 mA 0.3 mA 5 mA
---------------------------------------------------------------
Threshold of Men = 5.2 mA 1.1 mA 12 mA
perception Women = 3.5 mA 0.7 mA 8 mA
---------------------------------------------------------------
Painful, but Men = 62 mA 9 mA 55 mA
voluntary muscle Women = 41 mA 6 mA 37 mA
control maintained
---------------------------------------------------------------
Painful, unable Men = 76 mA 16 mA 75 mA
to let go of wires Women = 51 mA 10.5 mA 50 mA
---------------------------------------------------------------
Severe pain, Men = 90 mA 23 mA 94 mA
difficulty Women = 60 mA 15 mA 63 mA
breathing
---------------------------------------------------------------
Possible heart Men = 500 mA 100 mA
fibrillation Women = 500 mA 100 mA
after 3 seconds
---------------------------------------------------------------
"Hz" stands for the unit of Hertz, the measure of how
rapidly alternating current alternates, a measure otherwise known as frequency. So, the column of figures labeled "60 Hz AC"
refers to current that alternates at a frequency of 60 cycles (1
cycle = period of time where electrons flow one direction, then the
other direction) per second. The last column, labeled "10 kHz AC,"
refers to alternating current that completes ten thousand (10,000)
back-and-forth cycles each and every second.
Keep in mind that these figures are only approximate, as
individuals with different body chemistry may react differently. It
has been suggested that an across-the-chest current of only 17
milliamps AC is enough to induce fibrillation in a human subject
under certain conditions. Most of our data regarding induced
fibrillation comes from animal testing. Obviously, it is not
practical to perform tests of induced ventricular fibrillation on
human subjects, so the available data is sketchy. Oh, and in case
you're wondering, I have no idea why women tend to be more
susceptible to electric currents than men!
Suppose I were to place my two hands across the terminals of an
AC voltage source at 60 Hz (60 cycles, or alternations
back-and-forth, per second). How much voltage would be necessary in
this clean, dry state of skin condition to produce a current of 20
milliamps (enough to cause me to become unable to let go of the
voltage source)? We can use Ohm's Law (E=IR) to determine this:
E = IR
E = (20 mA)(1 MΩ)
E = 20,000 volts, or 20 kV
Bear in mind that this is a "best case" scenario (clean, dry
skin) from the standpoint of electrical safety, and that this figure
for voltage represents the amount necessary to induce tetanus. Far
less would be required to cause a painful shock! Also keep in mind
that the physiological effects of any particular amount of current
can vary significantly from person to person, and that these
calculations are rough estimates only.
With water sprinkled on my fingers to simulate sweat, I was able
to measure a hand-to-hand resistance of only 17,000 ohms (17 kΩ).
Bear in mind this is only with one finger of each hand contacting a
thin metal wire. Recalculating the voltage required to cause a
current of 20 milliamps, we obtain this figure:
E = IR
E = (20 mA)(17 kΩ)
E = 340 volts
In this realistic condition, it would only take 340 volts of
potential from one of my hands to the other to cause 20 milliamps of
current. However, it is still possible to receive a deadly shock
from less voltage than this. Provided a much lower body resistance
figure augmented by contact with a ring (a band of gold wrapped
around the circumference of one's finger makes an excellent
contact point for electrical shock) or full contact with a large
metal object such as a pipe or metal handle of a tool, the body
resistance figure could drop as low as 1,000 ohms (1 kΩ), allowing
an even lower voltage to present a potential hazard:
E = IR
E = (20 mA)(1 kΩ)
E = 20 volts
Notice that in this condition, 20 volts is enough to produce a
current of 20 milliamps through a person: enough to induce tetanus.
Remember, it has been suggested a current of only 17 milliamps may
induce ventricular (heart) fibrillation. With a hand-to-hand
resistance of 1000 Ω, it would only take 17 volts to create this
dangerous condition:
E = IR
E = (17 mA)(1 kΩ)
E = 17 volts
Seventeen volts is not very much as far as electrical systems are
concerned. Granted, this is a "worst-case" scenario with 60 Hz AC
voltage and excellent bodily conductivity, but it does stand to show
how little voltage may present a serious threat under certain
conditions.
The conditions necessary to produce 1,000 Ω of body resistance
don't have to be as extreme as what was presented, either (sweaty
skin with contact made on a gold ring). Body resistance may decrease
with the application of voltage (especially if tetanus causes the
victim to maintain a tighter grip on a conductor) so that with
constant voltage a shock may increase in severity after initial
contact. What begins as a mild shock -- just enough to "freeze" a
victim so they can't let go -- may escalate into something severe
enough to kill them as their body resistance decreases and current
correspondingly increases.
Research has provided an approximate set of figures for
electrical resistance of human contact points under different
conditions (see end of chapter for information on the source of this
data):
- Wire touched by finger: 40,000 Ω to 1,000,000 Ω dry, 4,000 Ω
to 15,000 Ω wet.
- Wire held by hand: 15,000 Ω to 50,000 Ω dry, 3,000 Ω to 5,000
Ω wet.
- Metal pliers held by hand: 5,000 Ω to 10,000 Ω dry, 1,000 Ω to
3,000 Ω wet.
- Contact with palm of hand: 3,000 Ω to 8,000 Ω dry, 1,000 Ω to
2,000 Ω wet.
- 1.5 inch metal pipe grasped by one hand: 1,000 Ω to 3,000 Ω
dry, 500 Ω to 1,500 Ω wet.
- 1.5 inch metal pipe grasped by two hands: 500 Ω to 1,500 kΩ
dry, 250 Ω to 750 Ω wet.
- Hand immersed in conductive liquid: 200 Ω to 500 Ω.
- Foot immersed in conductive liquid: 100 Ω to 300 Ω.
Note the resistance values of the two conditions involving a 1.5
inch metal pipe. The resistance measured with two hands grasping the
pipe is exactly one-half the resistance of one hand grasping the
pipe.
With two hands, the bodily contact area is twice as great as with
one hand. This is an important lesson to learn: electrical
resistance between any contacting objects diminishes with increased
contact area, all other factors being equal. With two hands holding
the pipe, electrons have two, parallel routes through which
to flow from the pipe to the body (or visa-versa).
As we will see in a later chapter, parallel circuit
pathways always result in less overall resistance than any single
pathway considered alone.
In industry, 30 volts is generally considered to be a
conservative threshold value for dangerous voltage. The cautious
person should regard any voltage above 30 volts as threatening, not
relying on normal body resistance for protection against shock. That
being said, it is still an excellent idea to keep one's hands clean
and dry, and remove all metal jewelry when working around
electricity. Even around lower voltages, metal jewelry can present a
hazard by conducting enough current to burn the skin if brought into
contact between two points in a circuit. Metal rings, especially,
have been the cause of more than a few burnt fingers by bridging
between points in a low-voltage, high-current circuit.
Also, voltages lower than 30 can be dangerous if they are enough
to induce an unpleasant sensation, which may cause you to jerk and
accidently come into contact across a higher voltage or some other
hazard. I recall once working on a automobile on a hot summer day. I
was wearing shorts, my bare leg contacting the chrome bumper of the
vehicle as I tightened battery connections. When I touched my metal
wrench to the positive (ungrounded) side of the 12 volt battery, I
could feel a tingling sensation at the point where my leg was
touching the bumper. The combination of firm contact with metal and
my sweaty skin made it possible to feel a shock with only 12 volts
of electrical potential.
Thankfully, nothing bad happened, but had the engine been running
and the shock felt at my hand instead of my leg, I might have
reflexively jerked my arm into the path of the rotating fan, or
dropped the metal wrench across the battery terminals (producing
large amounts of current through the wrench with lots of
accompanying sparks). This illustrates another important lesson
regarding electrical safety; that electric current itself may be an
indirect cause of injury by causing you to jump or spasm parts of
your body into harm's way.
The path current takes through the human body makes a difference
as to how harmful it is. Current will affect whatever muscles are in
its path, and since the heart and lung (diaphragm) muscles are
probably the most critical to one's survival, shock paths traversing
the chest are the most dangerous. This makes the hand-to-hand shock
current path a very likely mode of injury and fatality.
To guard against such an occurrence, it is advisable to only use
on hand to work on live circuits of hazardous voltage, keeping the
other hand tucked into a pocket so as to not accidently touch
anything. Of course, it is always safer to work on a circuit
when it is unpowered, but this is not always practical or possible.
For one-handed work, the right hand is generally preferred over the
left for two reasons: most people are right-handed (thus granting
additional coordination when working), and the heart is usually
situated to the left of center in the chest cavity.
For those who are left-handed, this advice may not be the best.
If such a person is sufficiently uncoordinated with their right
hand, they may be placing themselves in greater danger by using the
hand they're least comfortable with, even if shock current through
that hand might present more of a hazard to their heart. The
relative hazard between shock through one hand or the other is
probably less than the hazard of working with less than optimal
coordination, so the choice of which hand to work with is best left
to the individual.
The best protection against shock from a live circuit is
resistance, and resistance can be added to the body through the use
of insulated tools, gloves, boots, and other gear. Current in a
circuit is a function of available voltage divided by the total
resistance in the path of the flow. As we will investigate in
greater detail later in this book, resistances have an additive
effect when they're stacked up so that there's only one path for
electrons to flow:
Now we'll see an equivalent circuit for a person wearing
insulated gloves and boots:
Because electric current must pass through the boot and
the body and the glove to complete its circuit back to the
battery, the combined total (sum) of these resistances
opposes the flow of electrons to a greater degree than any of the
resistances considered individually.
Safety is one of the reasons electrical wires are usually covered
with plastic or rubber insulation: to vastly increase the amount of
resistance between the conductor and whoever or whatever might
contact it. Unfortunately, it would be prohibitively expensive to
enclose power line conductors in sufficient insulation to provide
safety in case of accidental contact, so safety is maintained by
keeping those lines far enough out of reach so that no one can
accidently touch them.
- REVIEW:
- Harm to the body is a function of the amount of shock current.
Higher voltage allows for the production of higher, more dangerous
currents. Resistance opposes current, making high resistance a
good protective measure against shock.
- Any voltage above 30 is generally considered to be capable of
delivering dangerous shock currents.
- Metal jewelry is definitely bad to wear when working around
electric circuits. Rings, watchbands, necklaces, bracelets, and
other such adornments provide excellent electrical contact with
your body, and can conduct current themselves enough to produce
skin burns, even with low voltages.
- Low voltages can still be dangerous even if they're too low to
directly cause shock injury. They may be enough to startle the
victim, causing them to jerk back and contact something more
dangerous in the near vicinity.
- When necessary to work on a "live" circuit, it is best to
perform the work with one hand so as to prevent a deadly
hand-to-hand (through the chest) shock current path.
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