Thursday Jan. 19, 2017

The 1st Homework Assignment of the semester was handed out today.  The assignment is due Tue., Jan. 31 (not Jan. 26 as shown on the sheet handed out in class).

In this class we'll have a look at some of the important historical developments in Atmospheric Electricity.  It's also an excuse to show some demonstrations provided the equipment is still working after having last been used two years ago.


The first real attempts at understanding electricity and lightning probably began in the late 1600s and 1700s.  We'll concentrate mainly on some of the contributions made by Benjamin Franklin (Franklin was born on Jan. 17, 1706 in Boston and died on April 17, 1790 in Philadelphia).

Franklin actively experimented with electricity for only a few years starting in the 1740s & continuing into the early 1750s.


There were many people in the American Colonies and Europe that were interested in and actively studying electricity at the time.  Franklin emulated Newton & performed experiments to test his theories.

Electrostatic (friction) machines

Electrostatic machines (friction machines) were in wide use.  Peter Collinson – unpaid London agent of the Philadelphia Library Company gave Franklin a glass-rubbing tube in late 1746 (he would also communicate results of Franklin's experiment to the Royal Society in London).




Note the metal comb at the top of the sketch.  This is an applications of one of Franklin's first observations

1. The power of points
One of Franklin's first observations concerned pointed conductors (unless noted otherwise all of the quotations that follow come from Reference (1) listed at the end of today's notes):

"the wonderful effect of pointed bodies, both in drawing off and throwing off the electrical fire."

This was demonstrated in class using a Van de Graaff generator.  We first positioned a grounded metal sphere a few centimeters away from the generator.  Periodically, once sufficient charge built up on the dome of the generator, an audible & visible spark (about 3 inches long) would jump to the grounded sphere.





When a pointed, grounded, rod was brought near the Van de Graaff, the sparking to the grounded ball stopped.  The pointed rod draws off electricity from the dome of the generator before sufficient charge is able to build up and spark across to the grounded ball.  Once the pointed rod was moved away, sparking to the sphere resumed.

Franklin originally thought that this was how lightning rods were able to protect a building, by preventing a lightning strike in the first place.  That turned out not to be the case.

Early machines often used some material (my guess would be silk) rubbing against a spinning glass sphere or a glass cylinder.  The glass would acquire one charge (positive charge I suspect), the rubbing surface the other polarity.  The metal comb would then draw the charge from the glass cylinder.


(source of this image)

Here's a rough translation of the French phrase at the bottom of the figure: "I know, where is best found this almost magical virtue, wisely named electric; young beauties, it's in your eyes.")

“By being removed so far from the European centres of experimentation and discussion of electrical events.  Franklin was able to view his own observation with a freshness not encumbered by the earlier notions of others.  He therefore regarded an electrically undisturbed body as being under neutral charge or as in a state of electrical equilibrium."

Franklin believed (correctly) that rubbing two materials together did not create electricity.  Rather, the rubbing somehow or another "grabbed onto" and separated charges that already were part of the neutral materials.  Material 1 might "tear" electrons from material 2.  Material 1 would become negatively charged and material 2 would be left positively charged.

Priestley explains this more clearly and succinctly:

“Dr. Franklin had discovered … that the electric matter was not created but collected by friction, from the neighbouring non electric bodies.” Priestley was the first historian of electrical science.  His “History and Present State of Electricity” appeared in London in 1767.

A Van de Graaff generator (invented in 1929) is now a more common way of producing static electric charge like was used in some of the early electrical experiments.  A Van de Graaff generator itself is an example of a friction machine and it is worth taking a moment to understand how they work.  A photo is show below at left.  The dome has been removed in the close up below at right.  You can see the belt stretching around an upper polyethylene pulley and a wire mesh just above (but not touching) the belt.  The wire mesh (a very fine wire comb) "draws" charge off the belt and carries it to the metal dome where the charge collects.  It is important that the dome itself be smooth, points and sharp edges would "throw" off electrical charge into the air.  It is also important that the plastic support that the dome rests on be clean to prevent leakage currents from flowing from the dome to the bottom of the generator.




A sketch of this particular Van de Graaff generator is shown below (Pasco Scientific SF-9722)

Here's my understanding of how it works.  The lower roller (1) is made of plexiglas.  Friction between the belt and the plexiglas roller causes the roller to become positively charged (the inside surface of the belt is negatively charged).  We know this from the Triboelectric Series shown below. 

A strong electric field develops between the positively charged plexiglas roller and the comb of metal points connected to ground.  The electric field is strong enough to ionize the air and corona discharge "sprays" electrons onto the belt (a wire mesh is positioned just below the bottom of the belt and is connected to ground). This charge is then carried upward toward the top of the generator (3) on the outside surface of the belt.  Friction between the belt and the upper roller (made of polyethylene) causes the upper roller to become negatively charged.  The negative charge on the outer surface of the belt is repulsed by the negative charge on the pulley, the comb draws off the negative charge and moves it to the surface of the metal dome where it can build up.

We should find that the dome in this case is negatively charged.  Later in the course we'll use an electric field mill to determine whether this is really the case.  I'm not sure about the fate of the electric charge on the inside surface of the belt (the surface that makes contact with the two pulleys).  

A photograph of a second Van de Graaff generator demonstrated in class is shown below (source of the photograph, available from Active Statics). 

In this case the lower pulley was polyethylene and the upper pulley was aluminum.  That configuration causes the dome to become positively charged. 


Here's a short description of triboelectric charging (from Wikipedia)

"The triboelectric effect (also known as triboelectric charging) is a type of contact electrification in which certain materials becom electrically charged after they come into contact with another different material through friction.   Rubbing glass with fur, or a comb through the hair, can build up triboelectricity. Most everyday static electricity is triboelectric. The polarity and strength of the charges produced differ according to the materials, surface roughness, temperature, strain, and other properties.

Thus, it is not very predictable, and only broad generalizations can be made.  Amber, for example, can acquire an electric charge by contact and separation (or friction) with a material like wool.   Other examples of materials that can acquire a significant charge when rubbed together include glass rubbed with silk, and hard rubber rubbed with fur"

And here is list many materials and the charge they acquire (from the same article in Wikipedia).  This was on a handout distributed in class.

The Triboelectric Series

Positively charged
(most charging at the top of the list)
Negatively charged
(most charging at the top of the list
polyurethane foam
Hair, oily skin
nylon, dry skin
glass
acrylic, lucite
leather
rabbit's fur
quartz
mica
lead
cat's fur
silk
aluminum
paper (small positive charge)
cotton


No charge
wool
steel
ebonite
silicone rubber
teflon
silicon
vinyl (PVC)
polypropylene
polyethylene (like Scotch tape)
plastic wrap
orlon
sytrene (Styrofoam - polystyrene foam)
polyester
synthetic rubber
acetate, rahyon
gold, platinum
brass, silver
sulfur
nickel, copper
hard rubber
resins
rubber balloon
polystyrene
sealing wax
amber
wood (small negative charge)

This is what was used to determine the charging of the plexiglas and polyethylene rollers in the Van de Graaff generator










Note the Leyden jar capacitors at left and right  (photo from Wikipedia )
The Wimshurst machine demonstrated in class (available from Active Statics)

The Wimhurst generator was developed between 1800 and 1883 by a British inventor and is another method for separating and collecting charge.  This is sometimes referred to as an "influence generator" as opposed to a friction generator.  Friction and triboelectric charging are not involved in this case.

Rather than attempting to draw two disks one in front of the other, we'll draw an end view of two concentric cylinders.  The geometry is different but the principle is the same (the base diagram below is from:  www.coe.ufrj.br/~acmq/whyhow.html)




We imagine that purely by chance a positive charge is found on one of the metal segments on the outer cylinder.  It could easily have been a negative charge.  This is how the Wimshurst machine gets started, a charge appears somewhere on one of the metal segments.
The two cylinders, which travel in opposite directions, have turned 45 degrees.  The original outer positive charge causes negative charge to be induced in the upper half of one of the cross members.  This results in negative charge being placed on one of the inner segments.  Any equal amount of positive charge is found on the opposite end of the cross member and is placed on a segment on the opposite side of the inner cylinder.




The cylinders rotate another 45 degrees.  The original positive charge is "drawn" off the outer cylinder at left and stored.    There are two charges left on the inner cylinder.
The two charges on the inner cylinder have moved into positions that are in line with the other cross member.  New induced charges appear on opposite segments on the outer cylinder.




Negative and positive charge on the inner cylinder are collected at right and left respectively. 
Charges on opposite sides of the outer cylinder cause charges to be induced and placed on the outer cylinder.  Charge will be collected again at left and right after the next 45 degree turn.


Here's a good demonstration and explanation.

The sketch above does not show the
Leyden Jar capacitors (invented independently in 1644 and 1645-46) that were used to store electrical charges produced by the friction machines and the Wimshurst machine.  Franklin described a demonstration involving a dissectible Leyden jar.  When assembled the two metal cups form a capacitor with a glass dielectric in between.  The Leyden jar can be charged up and then disassembled.  No spark is observed when the two metal cups touch.  A spark is observed when the Leyden jar is reassembled and the inner and outer cups are connected.  Franklin believed  that this demonstrated that charge is stored on the dielectric that is between the two pieces of metal.



You'll find a short description (and some explanation) of the experiment on Wikipedia.  A portion is reproduced below

A popular but misleading demonstration with a Leyden jar involves taking one apart after it has been charged and showing that the charge is stored on the dielectric not the plates. The first documented instance of this demonstration is in a 1749 letter by Benjamin Franklin.  Franklin designed a "dissectible" leyden jar, shown below, which was widely used in demonstrations.

The jar in the demonstration is constructed out of a glass cup nested between two fairly snugly fitting metal cups. When the jar is charged with a high voltage and carefully dismantled, it is discovered that all the parts may be freely handled without discharging the jar. If the pieces are re-assembled, a large spark may still be obtained.

When not properly explained, this demonstration promotes the myth that capacitors store their charge inside their dielectric. This erroneous theory, due to Franklin, was taught throughout the 1800s, and is still sometimes encountered. However this phenomenon is a special effect caused by the high voltage on the Leyden jar.  In the dissectible Leyden jar, charge is transferred to the surface of the glass cup by corona discharge when the jar is disassembled; this is the source of the residual charge after the jar is reassembled. Handling the cup while disassembled does not provide enough contact to remove all the surface charge.

My interpretation of  this is that the charge is stored on the two metal surfaces of the capacitor when the Leyden jar is assembled.  Charge only moves to the inner and outer surface of the dielectric when the capacitor is disassembled (I've been told not to touch the inner and outer surfaces of the glass when the capacitor is dissasembled).  Once reassembled charge moves from the glass dielectric and back onto the metal plates until the capacitor is discharged.

Here's a pretty good video of the demonstration (you'll also again see a Wimshurst machine in action).


Here's another demonstration that makes use of the Van de Graaff generator.

Volta's hailstorm



The Volta Hailstorm apparatus consisted of two square metal plates mounted on the bottom and top of a clear plastic or glass cylinder.
  Small round balls made of aluminum foil were inside.  The apparatus was placed on top of a Van de Graaff generator.   The top metal plate was connected to ground.

When the generator is turned on, the foil balls which are in electrical contact with the generator dome acquire some charge (assumed to be positive). 


The balls are repelled by the bottom electrode and travel up to the top metal disk (left figure above).  They transfer their charge to the top disk and then fall back to the bottom disk (right figure).  The positive charge on the upper plate then flows to ground. 

The foil balls again acquire charge from the bottom disk and the whole process repeats itself.



The apparatus will sometimes operate even when the top plate is not directly connected to ground.  The charge on the top disk bleeds off off the corners of the top plate and through the pieces of wire connected to the plate (the pointed pieces of wire are "throwing off" the electrical charge; the charge eventually finds ground and completes the circuit).  The foil balls again acquire charge from the bottom disk and the whole process repeats itself. 


Here's a video of Volta's Hailstorm in action.


Franklin chimes


A Franklin chimes is a device that will detect (and perhaps measure) cloud electrification outdoors.  The device consists of two bells - one is connected to ground, the other is connected to a pointed vertical rod placed outdoors.  A small metal ball hangs from an insulated string in between the two bells.



A Franklin chimes can be seen at the left edge of this picture.  Note also the lightning rod visible outside the window  (see I. Gonta and E. Williams (1994) for a clearer version and more information about this image)


The photograph below shows the apparatus that was used.

   



The left bell is connected to ground.  The right bell was insulated from ground on a teflon support.  A pointed rod extended upward from the right bell.  The point at the end of the rod was placed 3 or 4 inches from the top of the Van de Graaff generator.  A small metal ball (actually a piece of rod) was suspended on an insulating string midway between the two bells.

When the Van de Graaff was turned on the metal ball began to swing between the two bells.  The operation is explained in the following series of pictures.



The pointed rod draws charge from the Van de Graaff generator and charges the right bell.  The metal ball between the two bells is initially uncharged.   Charging the right bell causes charges to be induced on the swinging metal ball as shown above.



The metal ball is attracted to the right bell.  Contact with the bell neutralizes the negative charge on the ball and the ball picks up some positive charge.  The ball is then repelled by the positive charge on the bell.



Once the ball touches the grounded bell, the positive charge flows to ground. 



The ball is again uncharged.  The whole process repeats itself.  The overall effect of the swinging ball is to transport charge from the right bell to ground.


Here's an online demonstration that uses a slightly different geometry.  An inner bell is connected to the Van de Graaff generator and bells on the right and left that are connected to ground.

The last in this series of demonstrations is an "electric whirl" ( I sometimes refer to it as an electric motor in class).

Here are several photographs (source of all 3 photos, that source also describes an "electric wind" demonstration. 





The middle picture is most like the whirl used in class.  In class the whirl was positioned on a needed that was attached directly to the top of the Van de Graaff generator.



We assume the Van de Graaff generator dome and the whirl are negatively charged in this sketch.  The points at the ends of the arms will "throw off" negative charge.  The negatively charged arms will be repulsed by the negative cloud of space charge near the ends of the arms and the whirl will spin as shown.



Back to some additional results from Franklin's studies of electricity

2. Suggestion and proof that thunderstorm and laboratory electricity were the same
.

Franklin saw many similarities between lightning and the electricity generated and used in his experiments:  
Both produce light, and the colors of light are similar.  Crooked channels.  Swift motion. Being conducted by metals.  Crack or noise produced during discharge.  "Subsisting" in water or ice. "Rending" bodies as current passes through.  Killing animals.  Melting metals. Catching inflammable materials on fire. Sulphurous smell.


He wondered whether lightning wasn't just a much larger scale form of the same phenomenon and proposed the following experiment (this "Sentry box" experiment was described in a July 29, 1750 letter)

"To determine the question, whether the clouds that contain lightning are electrified or not, I would propose an experiment to be tried where it may be done conveniently.  On the top of some high tower or steeple, place a kind of sentry-box big enough to contain a man and an electrical stand.  From the middle of the stand let an iron rod rise and pass bending out of the door, and then upright 20 or 30 feet, pointed very sharp at the end.  If the electrical stand be kept clean and dry a man standing on it when such clouds are passing low, might be electrified and afford sparks, the rod drawing fire to him from a cloud.  If any danger to the man should be apprehended (though I think there would be none) let him stand on the floor of his box, and now and then bring near to the rod the loop of a wire that has one end fastened to the leads, he holding it by a wax handle; so the sparks, if the rod is electrified, will strike from the rod to the wire, and not affect him.”


The figure above is from Uman's 1987 book "The Lightning Discharge."

The experiment was performed for the first time on May 10, 1752 in Marly-la-Ville (near Paris) by a retired dragoon named Coiffier (Thomas Francois Dalibard, a naturalist and the person that had set up the experiment, was absent).  Dalibard read an account of the experiment to the French Academie des Sciences on May 13, 1752. You can read a short description of the experiment (in French) on the Commune de Marly La Ville website.

The experiment was repeated for the French king, Louis XV, a short time later, and variations of the experiment were conducted throughout Europe after that.  LeMonnier, for example,  held a 5 m wooden pole with iron wire windings while standing on pitchcake.  Sparks were seen coming from his hands and face.

Franklin
never did the sentry box experiment (he thought the metal rod would need to be higher and came up with the idea of using a kite)


 

This figure is also from Uman's 1987 book "The Lightning Discharge"

The experiment is thought to have been conducted in June, 1752, but the exact date and location were never recorded.    Details of the experiment were sent to Collinson in a letter dated Oct. 19, 1752.

Other people began to repeat the experiment using rockets (mortars) and balloons.  In June 1753 de Romas used a kite with a 240 m cord wrapped with violin wire.  He produced 20 cm long sparks.  Apparently he was later able to produce 3 m long sparks!

The strength of the electricity was often judged by simulating the muscles of animals and observing their reaction.



from Ref (1)
Both the sentry box experiment and the kite experiment are very dangerous.  If lightning were to strike the metal pole or the kite or balloon, the person at the bottom would likely be killed.  This did eventually happen

Figure from ref (2).

Later in the course we will see that tall pointed metal objects can sometimes initiate a lightning strike.  It isn't necessary for a natural lightning to strike the experiment.


3. Invention of lightning rods

Franklin came up with the idea of a lightning rod:

“There is something however in the experiments of points, sending off, or drawing on, the electrical fire, which has not been fully explained, and which I intend to supply in my next. For the doctrine of points is very curious, and the effect of them truly wonderful; and, from what I have observed on experiments, I am of opinion, that houses, ships, and even towns and churches may be effectually secured from the stroke of lightning by their means; for if, instead of the round balls of wood or metal, which are commonly placed on the tops of the weather-cocks, vanes or spindles of churches, spires, or masts, there should be put a rod of ion 8 or 10 feet in length, sharpen’d gradually to a point like a needle, and gilt to prevent rusting, or divided  into a number of points, which would be better – the electrical fire, would, I think, be drawn out of a cloud silently, before it could come near enough to strike; only a light would be seen at this point, like the sailors corpusante.” 
 

“I say, if these things are so, may not the knowledge of this power of points be of use to mankind, in preserving houses, churches, ship etc. from the stroke of lightning, by directing us to fix on the highest parts of those edifices, upright rods of iron made sharp as a needle, and gilt to prevent rusting, and from the foot of those rods a wire down the outside of the bulding into the ground, or down round one of the shrounds of a ship, and down her side till it reaches the water?”

and my favorite quotation:
"It has pleased God in his goodness to mankind, at length to discover to them the means of securing their habitations and other buildings from mischief by thunder and lightning ..."

Here Franklin was anticipating and seeking to counter opposition from religious authorities (lightning was considered by many to be a form of divine retribution).



Franklin originally thought (incorrectly) a lightning rod would dissipate electricity (the pointed tip would draw off electricity before a discharge could occur).  Lightning did eventually strike on of Franklin's rods and melted the tip of the rod.  This surprised him. 

Metal (nail) rods were often linked together as shown below (some fragments of Franklin's original lightning rods still exist, in one case inside a building and next to dry wooden beams).  The links tended to rupture and you might expect sparking at the junctions because of the poor electrical connection that is made.

As problems became apparent Franklin worked to make improvements.  In particular he investigated the following:
how does the rod work
what material should be used
termination in air
grounding
attachment to structure
height above the structure
area protected by the rod

There was considerable opposition to the use of lightning rods in Europe.  They didn't believe that it would dissipate the electricity (correct).  Franklin argued that even if not, the lightning rod and wire to ground would safely carry the lightning current around and thereby protect the structure (correct).

"Lightning had been regarded as a divine expression, a manifestation against which there could be no possible protection, except prayer and the ringing of church bells..  Such bells cast in medieval times often bore the legend "Fulgura frango" ("I break up the lightning").  With the passage of time, however, it was realized that bell ringing during a storm was a very hazardous remedy, especially for the ringer on the ropes because so many were killed by the very stroke they attempted to disperse."  In 33 years of lightning strokes on 386 church steeples 103 bell-ringers were killed. (Ref (2))

A showdown took place in the Piazza in Siena Italy in Spring 1777.  One side doubted the electrical nature of lightning and the efficacy of lightning rods.  A second, more progressive side, had ordered a lightning rods to be installed on the cathedral and the tower of City Hall (facing the plaza where the famous Palio is run). 



"On the afternoon of 18 April clouds began to form, distant thunder was heard, and the Siennese began moving to their Piazza with all eyes focused on the lightning rod tip.  At about five o'clock - lightning struck.  A ball of fire, accompanied by sparks, smoke, and an odor of sulphur ran the full length of the tower and disappeared into the ground leaving the tower unharmed."
(source of the image above)

Lightning rods were quickly adopted throughout Italy (and also in other Catholic countries because they were approved by The Pope)



A lightning house, a common demonstration of the efficacy of lightning rods.  The small square in the side of the house is filled with gunpowder.  When a spark is delivered to Point V it will travel down Conductor S, spark across the Gap Q-O and ignite the gunpowder.  If a metal connection is made between Q and O, the current will flow through a metal conductor all the way to the ground.  There won't be any sparking and the gunpowder won't be ignited.


I would recommend you have a look at E.P. Krider, "Benjamin Franklin and Lightning Rods," Physics Today, 42-48, Jan., 2006 for a more detailed discussion of this topic.


It is hard to appreciate the acclaim that Franklin's ideas and experiments in electricity brought to him in Europe (though he did also have some enemies).  Here is a list of some of the awards he received.

May 1752 Congratulations from the King of France
July 1753 Master of Arts from Harvard University
Sept. 1753 Master of Arts from Yale University
Nov. 1753 Copeley Gold Medal, Royal Society, London
April 1756 Fellow (w/o fee) of the Royal Society
Feb. 1759 University of St. Andrews Scotland Doctor of Civil and Canon Laws
April 1762 Oxford Doctor of Civil Laws


References
(1) B. Dibner, Benjamin Franklin, Lightning, Ch. 2 in Lightning Vol. 1, ed. by R.H. Golde, Academic Press, London, 1977.
(2) I. Gonta and E.. Williams, "A Calibrated Franklin Chimes", J. Geophys. Res., 99, 10671-10677, 1994.
(3)
E.P. Krider, "Benjamin Franklin and Lightning Rods," Physics Today, 42-48, Jan., 2006. (link to a PDF file)