Chapter 30 Electromagnetic Induction

A photograph of a wind mill labeled Electromagnetic induction is the physics that underlies many modern technologies, from the generation of electricity to data storage.

Electromagnetic induction is the physics that underlies many modern technologies, from the generation of electricity to data storage.

In This Chapter, you will learn what electromagnetic induction is and how it is used.

What is an induced current?

A magnetic field can create a current in a loop of wire, but only if the amount of field through the loop is changing.

  • This is called an induced current.

  • The process is called electromagnetic induction.

《 LOOKING BACK Chapter 29 Magnetic fields

The figure illustrates a bar magnet with the north pole downward inserted inside a coil. The end points of the coil is connected to an ammeter.

What is magnetic flux?

A key idea will be the amount of magnetic field passing through a loop or coil. This is called magnetic flux. Magnetic flux depends on the strength of the magnetic field, the area of the loop, and the angle between them.

《 LOOKING BACK Section 24.3 Electric flux

The figure illustrates a loop kept diagonally. The magnetic field vector arrows labeled vector B point upward.

What is Lenz’s law?

Lenz’s law says that a current is induced in a closed loop if and only if the magnetic flux through the loop is changing. Simply having a flux does nothing; the flux has to change. You’ll learn how to use Lenz’s law to determine the direction of an induced current around a loop.

The figure illustrates a closed loop with induced current in counter-clockwise direction. The induced magnetic field vector arrow labeled B subscript induced points upward. The magnetic field arrow vector B increases in the downward direction.

What is Faraday’s law?

Faraday’s law is the most important law connecting electric and magnetic fields, laying the groundwork for electromagnetic waves. Just as a battery has an emf that drives current, a loop of wire has an induced emf determined by the rate of change of magnetic flux through the loop.

《 LOOKING BACK Section 26.4 Sources of potential

The figure illustrates a loop of wire as it drifts toward right in a magnetic field. A current I passes through the loop in clockwise direction.

What is an induced field?

At its most fundamental level, Faraday’s law tells us that a changing magnetic field creates an induced electric field. This is an entirely new way to create an electric field, independent of charges. It is the induced electric field that drives the induced current around a conducting loop.

The figure illustrates induced electric field and magnetic field. The electric field labeled vector E are shown as circles in clockwise direction and the magnetic field vector arrows labeled vector B are shown as arrows that points upward.

How is electromagnetic induction used?

Electromagnetic induction is one of the most important applications of electricity and magnetism. Generators use electromagnetic induction to turn the mechanical energy of a spinning turbine into electric energy. Inductors are important circuit elements that rely on electromagnetic induction. All forms of telecommunication are based on electromagnetic induction. And, not least, electromagnetic induction is the basis for light and other electromagnetic waves.

Learning Objectives

After studying this chapter, you should be able to

  1. 30.1 Calculate the motional emf of a conductor moving in a magnetic field.

  2. 30.2 Calculate the magnetic flux through a loop.

  3. 30.3 Determine the direction of an induced current using Lenz’s law.

  4. 30.4 Calculate the induced emf and induced current of a changing magnetic field using Faraday’s law.

  5. 30.5 Calculate the strength of an induced electric field.

  6. 30.6 Apply Faraday’s law to practical situations.

  7. 30.7 Solve problems about inductors.

  8. 30.8 Analyze LC circuits.

  9. 30.9 Analyze LR circuits.