19th CenturyScience

Faraday: Experimental Researches in Electricity

A moving magnet makes a current, lines of force fill space, and the electric motor and dynamo begin.

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Volume
42 of the 1990 set
Author
Michael Faraday (1791–1867)
Work
Experimental Researches in Electricity 1832–1855

Ideas: Electricity and magnetism Experiment and observation Motion and force Matter, atoms and elements

Read the full text, free: Experimental Researches in Electricity, First Series (Philosophical Transactions, 1832), Internet Archive · Experimental Researches in Electricity, vol. 1, Series I–XIV (1839), Internet Archive · The Chemical History of a Candle (lectures of 1860–1861), Internet Archive

For young readers

About ages 8 to 12. Read it together, or on your own.

Michael Faraday was born in London in 1791. His family was poor, and he left school at 13 to work for a bookbinder. While he sewed books together, he read them, especially the ones about science. He went to hear a famous chemist, Humphry Davy, give lectures, wrote out neat notes, and sent them to Davy. Davy gave him a job as his helper.

Scientists already knew that electricity flowing in a wire makes it act like a magnet. Faraday asked the opposite question: can a magnet make electricity? He tried for years. In 1831 he found the answer. A magnet sitting still inside a coil of wire does nothing. But when he pushed the magnet in or pulled it out, a needle on his meter jumped. A moving magnet makes electricity flow!

Push the magnet in and pull it out. The meter only moves while the magnet is moving, and it swings the other way when you pull it out.

That discovery runs our world. Almost all the electricity in your house is made in power stations by spinning magnets and coils of wire, just as Faraday found.

Faraday also loved teaching children. Every Christmas he gave lectures for young people at the Royal Institution in London. The most famous ones are about a single candle: what it is made of, why the flame has its shape, and where the wax goes when it burns.

Try this

Watch a candle like Faraday. With a grown-up, light a candle on a plate. Look closely: where is the flame brightest? Is there a dark part near the wick? Hold a cold metal spoon high above the flame for a moment. What forms on it? (Faraday showed that a burning candle makes water.) Read his lectures together in our Chemical History of a Candle course.

For teens and adults

The full lesson.

Who, when and the problem

Michael Faraday (1791–1867) was the son of a London blacksmith. He was apprenticed to a bookbinder at 14 and taught himself science from the books he bound. In 1813 Humphry Davy hired him as an assistant at the Royal Institution, where Faraday worked for the rest of his life, becoming its director of the laboratory and its most famous lecturer. He had almost no mathematical training. His Experimental Researches in Electricity are 30 series of papers sent to the Royal Society from 1831 to 1855, each with numbered paragraphs, collected into three volumes (1839, 1844 and 1855).

The problem: in 1820 Hans Christian Ørsted found that an electric current turns a compass needle, so electricity can make magnetism. Many people suspected the reverse must also be true, that magnetism could make electricity, but experiment after experiment failed. A strong magnet next to a wire did nothing.

The main ideas

  • Electromagnetic induction (1831). A changing magnetic effect makes a current. Switching a current on or off in one coil makes a brief current in a second coil wound on the same iron ring. Moving a magnet into or out of a coil does the same.
  • The first generator. A copper disk spinning between the poles of a magnet gives a steady current (October 1831).
  • One electricity. Current from batteries, from friction, from magnets, from electric fish and from heat are all the same thing (Third Series, 1833).
  • The laws of electrolysis (1833–1834). The amount of a substance freed by a current is in proportion to the amount of electricity passed. With the scholar William Whewell he made up the words electrode, anode, cathode, ion and electrolyte.
  • Lines of force and fields. Faraday pictured the space around magnets and currents as filled with curved "lines of force," which iron filings make visible. The forces live in the space, not only in the objects. This is the beginning of the idea of a field.
  • Light and magnetism (1845). A magnet can turn the plane of polarized light passing through heavy glass (the Faraday effect), a first sign that light is linked to electricity and magnetism.

One of these helices was connected with a galvanometer, and the other with a battery of one hundred pairs of plates four inches square, with double coppers, and well charged. When the contact was made, there was a sudden and very slight effect at the galvanometer, and there was also a similar slight effect when the contact with the battery was broken. But whilst the voltaic current was continuing to pass through the one helix, no galvanometrical appearances of any effect like induction upon the other helix could be perceived.

Michael Faraday, Experimental Researches in Electricity, First Series, paragraph 10. Philosophical Transactions of the Royal Society of London, vol. 122, 1832. Internet Archive. Slightly shortened.

This is the key: nothing happens while the current is steady. Only the change, switching on or switching off, induces a current, and the two kicks go in opposite directions.

One end of this magnet was introduced into the axis of the helix, and then, the galvanometer-needle being stationary, the magnet was suddenly thrust in; immediately the needle was deflected in the same direction as if the magnet had been formed by either of the two preceding processes. Being left in, the needle resumed its first position, and then the magnet being withdrawn the needle was deflected in the opposite direction.

Michael Faraday, Experimental Researches in Electricity, First Series, paragraph 39. Philosophical Transactions of the Royal Society of London, vol. 122, 1832. Internet Archive. Figure references left out.
Faraday's paragraph 39 as a simulation. Drag the magnet or press the buttons. The meter shows the induced voltage, which depends on how fast the magnetic flux through the coil changes and on the number of turns.

Key idea

In modern form, Faraday's law says the voltage induced in a coil is $\mathcal{E} = -N\dfrac{\Delta\Phi}{\Delta t}$: the number of turns times the rate of change of the magnetic flux $\Phi = BA$ through each turn. The minus sign (Lenz's law, 1834) says the induced current pushes back against the change.

Worked example: A magnet into a coil

A coil of 200 turns, each of area $0.0030\ \text{m}^2$. A magnet is pushed in, raising the field through the coil from 0 to 0.25 T in 0.10 s. What average voltage is induced?
  1. Change of flux per turn: $\Delta\Phi = 0.25 \times 0.0030 = 7.5\times10^{-4}$ Wb.
  2. $\mathcal{E} = N\dfrac{\Delta\Phi}{\Delta t} = 200 \times \dfrac{7.5\times10^{-4}}{0.10} = 1.5$ V.

Answer: 1.5 volts on average, about one flashlight battery. Push twice as fast and you get twice the voltage.

Worked example: Faraday's ring as a transformer

Faraday's iron ring had two coils. Today's transformers are the same idea: $V_2/V_1 = N_2/N_1$ for an alternating current. A transformer steps 240 V down with 1,200 turns on the first coil and 60 on the second. What is the output?
  1. $V_2 = 240 \times \dfrac{60}{1200} = 12$ V.

Answer: 12 volts.

Worked example: Electrolysis

A current of 2.0 A passes through copper sulfate solution for 30 minutes. How much copper (molar mass 63.5 g/mol, charge 2+) is deposited? Use 96,500 C for one mole of electrons.
  1. Charge: $Q = It = 2.0 \times 1800 = 3600$ C.
  2. Moles of electrons: $3600/96{,}500 = 0.0373$.
  3. Copper needs 2 electrons per atom: $0.0373/2 = 0.01865$ mol, times 63.5 g/mol $\approx 1.18$ g.

Answer: About 1.18 g. The constant 96,485 C/mol is named the faraday.

The candle

Faraday founded the Royal Institution's Christmas Lectures for young people in 1825 and gave nineteen series of them. The Chemical History of a Candle (lectures of 1860–1861, printed in 1861) follows a single candle into the chemistry of burning, the makeup of air and water, and our own breathing. Two of his popular lectures, on gravitation and on magnetism and electricity, from The Forces of Matter, are Harvard Classics readings.

There is not a law under which any part of this universe is governed which does not come into play, and is touched upon in these phenomena. There is no better, there is no more open door by which you can enter into the study of natural philosophy, than by considering the physical phenomena of a candle.

Michael Faraday, The Chemical History of a Candle, Lecture I. ed. William Crookes, Chatto and Windus, London (new impression), 1908. Internet Archive.

Setting the record straight

  • Joseph Henry, too. The American Joseph Henry found induction independently at about the same time and also discovered self-induction, but Faraday published first, in November 1831. The unit of inductance, the henry, honors him.
  • Faraday did not invent the electric power industry by himself. His disk and his coils were laboratory devices that made tiny currents. Practical generators (from Hippolyte Pixii's in 1832 onward), transformers and power stations took the work of many engineers over the next 50 years.
  • No math, but not no theory. Faraday's papers contain almost no equations, but they are full of careful reasoning about lines of force. James Clerk Maxwell wrote that he found Faraday's way of thinking to be mathematical in a deep sense, and turned it into equations.

What later science kept, and what it changed

  • Kept: induction, the laws of electrolysis, the motor and generator principles, the Faraday effect and the words he coined. Faraday's law is one of Maxwell's four equations.
  • Built on: Maxwell turned lines of force into the mathematics of fields (1855–1865) and found that light is an electromagnetic wave, as Faraday had guessed. Heinrich Hertz made such waves in 1887: radio.
  • Changed: Faraday hoped gravity too would be linked to electricity and magnetism and searched for it without success. Gravity is still described separately, by Einstein's general relativity.

Going deeper

Context, the big questions, and how later books answered.

Fields, not forces at a distance. Newton had said he framed no hypotheses about how gravity reaches across space. Faraday's answer for electricity and magnetism was that the space itself carries the action: lines of force with real physical existence. In his 1846 lecture "Thoughts on Ray-Vibrations" he even suggested that light might be a vibration of those lines. Maxwell, Einstein and modern physics all think in terms of fields.

A notebook science. Faraday's laboratory diary runs to thousands of numbered entries. The Researches keep the same numbering, so he can refer back to an earlier paragraph like a proof refers to an earlier theorem. They are a rare chance to watch a great experimenter think, try, fail and try again.

Faith and science. Faraday was a lifelong member and elder of a small Christian church, the Sandemanians. He saw the laws of nature as a reflection of the order of creation, and kept his faith and his laboratory work as separate kinds of activity. Historians have discussed how his belief in the unity of nature's forces may have guided his search for links between them.

Teaching. Faraday's advice to lecturers was to show experiments, speak plainly and treat the audience as friends. His Christmas Lectures, still given every year at the Royal Institution, are a model for anyone who explains science to young people.

End of the science shelf. Faraday is the last scientist in volume 42 of the set. The next science on the ladder, Darwin (volume 49), turns from physics and chemistry to the history of life.

Talk about it together

  1. Faraday left school at 13 and became one of the greatest scientists. What helped him? What can you learn on your own?
  2. Nothing happened when the magnet sat still inside the coil. Why do you think change was the key?
  3. Joseph Henry found induction at about the same time. Should both men share the credit? How do we decide?
  4. Faraday used almost no math, and Maxwell turned his ideas into equations. Do pictures and words or equations help you understand better?
  5. Faraday chose a candle to teach children about all of science. If you had to teach someone science with one everyday object, what would you choose?
  6. Faraday kept his faith and his science as separate activities, yet thought both pointed to order in nature. How do the people you know think about science and belief?

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