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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism

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Induced Electric Field

  • A changing (in time) magnetic field induces an electric field. So if a magnetic field exists in space and it varies with time, then an electric field will necessarily exist in space.
  • The value of the induced electric field is obtained by noting that the integral of E.ds around any closed loop is equal to minus the derivative of the magnetic flux with respect to time; this is nothing but a restatement of Faraday’s law.
  • Two examples that illustrate how to evaluate the induced electric field are given in the lecture. In the first example a magnetic field, uniform in space, is slowly turned off. The other example shows how an AC generator works.

Induced Electric Field

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

  • Intro 0:00
  • Change B to Induce E 0:54
    • Loop with Magnetic Field B
    • Flux is Positive With Choice of 'n'
    • Suppose Magnetic Field is Changing
    • B Changing with time Flux (>0)
    • Change in Electric Field Induces magnetic Field
  • Example 21:08
    • Cylinder with Magnetic Field
    • Fill With Radius 'r'
    • Turn Off the Field
    • Magnetic Flux Through Big Loop
  • AC Generator 38:28
    • Magnetic Field with Coil of Many Turns
    • As the Coil Rotates Flux is Induced
    • Coil Rotated by Angle
    • Coil Connected to The Ring and End Connected to Lamp
    • Kinetic Energy Strike the Coil and Rotating Coil will Produce Electric Energy
  • Example 1: Electric Field
  • Example 2: Electric Field