Non Fatal:
Less Than Lethal Weapons and the Physics Behind Them


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Electroshock

tazer_breakdown
Breakdown of the M26c/M18L Taser


Tasers and stun guns are another common less than lethal weapon that are also very popular with police, military, and security professionals alike. This is primarily due to their low skill requirement and safety compared to other less than lethal methods.

taser_dry_stun
US Airman demonstrates testing a taser

So, how do they work? Well, first, one must have a basic grasp of Ohm's Law:

V = IR
 
As well as a basic understanding of how the brain communicates with the human body.

As most of us would learn in high school biology, the brain uses electric signals to send instructions and receive information from the body. By inducing an electric current of a different frequency and magnitude on the body, the nervous system will essentially be overloaded and cause significant pain in the target. However, no actual bodily harm is induced, save for those with extenuating medical circumstances. This is because the the voltage, while extremely high and in the range of tens of thousands of volts, the current is kept extremely low, within the realm of 3-4 miliamps.

20,000 v = 0.003 A * R

So obviously, the resistance in the curcuit must be very high, right? Not quite. By utilizing several transformers, which induces current on a loop that is not otherwise connected to the primary circuit while also adjusting voltage, in this case increasing it, a high voltage-low current circuit is able to be constructed.

Stungun_circuit
An example of a stun gun circuit by P. Marian from ElectroSchematics.com

This high voltage-low current circuit sends electricity between two electrodes, which is then applied to a target, ideally pacifying them in the process. It is critical that the electrodes make good contact in order for the weapon to be effective. This is the biggest problem with most electroschock type less than lethal weapons.

One approach to combating this issue is having the electrodes be two gas propelled prongs which enter the target. It is still considered less than lethal because the prongs are constructed of a material that is not meant to fragment or deform upon entering the target. A great example is the picture at the top of the page:

tazer_breakdown

While this does solve the issue to a degree, its not a perfect solution. Since the prongs have limited range due to their mass and velocity, if the target is wearing too much clothing or loose clothing, the prongs could easily get tangled or outright fail to enter the target. Since the circuit isn't complete, as well as the higher resistance of fabric which also prevents proper electric flow, the weapon is rendered ineffective. Another issue is length of exposure. If a person is subjected to an electric current for too long, then risk of severe injury increases exponentially, which requires a significant amount of safeties built into the circuit (relays, safety switches, PWM limiters, ect.) causing the price to skyrocket.

Javier De Leon
Physics 211 - Fall 2018
University of Alaska Fairbanks
Background: "Blue" by karenatsharon is licensed under CC BY 2.0