Lesson: The Electric and Magnetic Personalities of Mr. MaxwellContributed by: USF STARS (GK-12 Program), College of Engineering, University of South Florida
Educational Standards :
Learning Objectives (Return to Contents)
After this lesson, students should be able to:
Introduction/Motivation (Return to Contents)
The discoveries of Faraday, Gauss and Maxwell in the field of electromagnetism continue to shape the world in which we live today . In particular, Maxwell's equations are used in nearly all engineering marvels, including TVs, computers, cell phones and solar cells.
Electromagnetic, or EM, devices are a major part of modern day -to-day life. Can you think of any examples? More than 99.9% of all electricity produced is created using electric generators, an EM device. Wireless communication, such as radio, TV, cell phones and Wi-Fi internet, are transmitted and received using EM devices. All electric motors, such as those used in blenders, hand drills and automated garage doors, are EM devices. Microwave ovens that heat our food are EM devices. Microphones and speakers are EM devices. Protective eye wear, such as sunglasses, are EM devices. CT scans and sanitation within hospitals are accomplished using EM devices. Video entertainment, from simple tube televisions to new 3-D, is presented using EM devices.
From this list, which is by no means comprehensive, you can see that the development of electromagnetics has and still does significantly influence our lives. In fact, it is nearly impossible to imagine life without EM tools and devices. The complete list would be too long to include here.
Also, beyond its engineering applications, EM affects us every day. All the energy that comes to us from the sun is EM energy. Every time we go outside we are hit with massive doses of EM energy. The twinkle of the stars in the distance is EM radiation that has taken millions of years to get to us. Not to mention that everything that has thermal energy, or heat, gives off EM radiation, including ourselves. It's everywhere and in everything.
So, what is electromagnetism? Electromagnetism is the study of the relationship between magnetism and electricity. Electromagnetics is the field of engineering that is focused on utilizing electromagnetism. All of electromagnetism is summed up in four equations (Gauss' law of magnetism, Gauss' law of electricity, Ampere's law, and Faraday's law of induction) known as Maxwell's equations.
It was around 1820 that Hans Christian Ørsted and André-Marie Ampère discovered the connection between electricity and magnetism. They noticed that a wire containing a current would deflect a compass needle when the two were close to each other. From this, it was determined that a current, or a flow of electrons, produces a magnetic field . Later, many more findings relating the two phenomena came out. James Clerk Maxwell, a man who is noted as the third greatest scientist of all time (behind Newton and Einstein), compiled the findings of Ørsted, Ampère and many other scientists of that time. He was able to bring together all observable connections between magnetism and electricity into four basic equations. These are known as Maxwell's equations.
Maxwell's equations require a high level of mathematics to understand and apply. However, the concepts behind the equations can be understood by students of all levels. Knowing these concepts will help you have a better understanding of how the world works.
Lesson Background & Concepts for Teachers (Return to Contents)
The lesson presented herein is meant to provide a broad understanding of electromagnetics. Moreover, the associated activities provide students with the opportunity to manipulate basic forces of the universe. Though this lesson is focused on electromagnetics, it also fortifies other concepts such as electrical circuits, magnetic fields, and electric and magnetic repulsion and attraction.
James Clerk Maxwell (1831-1879)
This lesson (and its associated activities) is based on the equations derived and presented by Maxwell in the 1800s. Many people are not familiar with Maxwell and the importance of his contributions to science. To get an idea of how well regarded Maxwell is in the field of physics, the most influential physicists of our time were asked to list of the most significant physicists in history, and James Clerk Maxwell was third on this list, behind Einstein and Newton.
Maxwell is of Scottish origin and by trade a physicist and mathematician. Besides the equations, Maxwell is credited with other significant scientific discoveries such as producing the world's first color photograph, deducing the nature of Saturn's rings, and assisting in the formulation of the kinetic theory of gases. But many would agree his greatest work is in the field of electromagnetics. His equations unified into one theory all the phenomena of electricity and magnetism. The mathematical genius of Maxwell united the discoveries of Faraday, Ørsted, Coulomb, Ampère and Gauss.
Force, Field Lines and Magnets
A force is a push or pull that causes a change in motion of an object. These pushes can be due to contact, such as a person pushing on a rock, causing the rock to move. These pushes and pulls can also act at a distance, such as the gravity of Earth pulling an apple down out of a tree.
Field lines, or invisible lines of force, are a concept familiar to all of us. For example, we all know that we are bound to the Earth's surface by gravitational force. However, the force that keeps us from floating into space is invisible. We all know that when a negatively charged object is brought near a positively charged object an attractive force exists between the two objects. The force that exists between positively and negatively charged particles is also invisible. We can extend this discussion to magnets. When the north pole of one magnet is drawn near the south pole of another magnet, a force of attraction exists between the two poles and guess what? That force is invisible. To summarize, for each of the aforementioned forces, invisible force lines exist that show the direction in which the forces are acting.
We have all seen how magnets attract objects made of iron. Most of us are also familiar with the terms north and south poles that are associated with magnets. In any magnet, of any shape or size, the two ends where the magnetic effect is the strongest are called poles. If we take a freely suspended magnet and watch it align itself with the Earth's magnetic field, the end that points to the geographic north is deemed the north pole whereas the other end is the south pole. As discussed earlier, opposite poles of different magnets exert a force on each other. This is also true of like poles of different magnets. To determine how the force of one magnet is affecting another magnet, it is useful to draw magnetic field lines. Magnetic field lines are invisible lines of force that are able to tell us two things about a magnet: 1) the direction a north pole will be pulled at any point (a south pole will be pulled in the opposite direction with an equal force) and 2) the strength of the magnetic field. If we were able to see magnetic field lines we would observe that the lines point from the north pole of the magnet to the south pole of the same magnet or a different magnet. This concept is covered in the associated activity, Whose Field Line Is It Anyway?
In 1820, Danish scientist Hans Christian Ørsted discovered that a current carrying wire can produce a magnetic field. This phenomenon was determined when a compass needle was deflected upon being placed near a current carrying wire. This observation led to experiments to determine the orientation of magnetic fields produced by different wire geometries. One particular way to orient a current carrying wire is in a solenoid. A solenoid is a coil of wire used in an electromagnet. As current passes through the wire, a magnetic field is produced within the coil. In many instances, a magnetic core is inserted inside the coil to increase the strength of the magnetic field. As a result, an electromagnet is formed. Therefore, an electromagnet consists of a solenoid, a power source and a piece of iron placed inside the solenoid (see Figure 1). Electromagnets act just like regular magnets except that electromagnets lose their magnetic properties once current ceases to flow in the wire. In the associated activity, The Good, the Bad and the Electromagnet, students construct simple electromagnets and see what effect iron cores have on their strength.
Vocabulary/Definitions (Return to Contents)
Associated Activities (Return to Contents)
Assessment (Return to Contents)
Informal Questions: Ask the students, and discuss as a class:
Magnetic Field Lines of Arbitrary Shaped Magnets: When building a generator, you need a magnet and a coil of wire. To make sure the generator works properly, you must know the direction the field lines of the magnet are pointing. Tell the students that they are engineers in charge of designing a generator. They are given a horseshoe-shaped magnet. In order to proceed in construction, they must first determine the orientation of the field lines. Direct students to draw a magnet in a horseshoe shape. On the drawing, have them indicate which end would be the north pole and which end would be the south pole. Then give them several minutes to draw how the field lines would look for this particular shaped magnet. (Answer: See Figure 2. Magnetic field lines form closed loops, extending from the south pole to the north pole and back again. They are always drawn pointing to where the north pole is being pulled. They point in the opposite direction of where the south pole is being pulled.)
References (Return to Contents)
 Fowler, Michael. "Historical Beginnings of Theories of Electricity and Magnetism." Posted 1997. Galileo and Einstein, Physics, University of Virginia. Accessed November 30, 2011. (course lecture notes)
 Fitzpatrick, Richard. "Ampère's Circuital Law." Posted July 14, 2007. Electromagnetism and Optics, an introductory course at the University of Texas at Austin. Accessed November 30, 2011.
ContributorsJames Cooper and Mandek Richardson (under the advisement of Patricio Rocha and Tapas K. Das)
Copyright© 2011 by College of Engineering, University of South Florida
This curriculum was developed by the USF Students, Teachers and Resources in Sciences (STARS) Program under National Science Foundation grant nos. DGE 0139348 and DGE 0638709. However, these contents do not necessarily represent the policies of the National Science Foundation, and you should not assume endorsement by the federal government.
Supporting Program (Return to Contents)USF STARS (GK-12 Program), College of Engineering, University of South Florida
Last Modified: December 12, 2013