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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
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Magnetic Field Produced By Current, Part 1

  • Biot-Savart Law: Suppose we have a wire carrying a current I. Biot-Savart law tells us how to calculate the magnetic field produced by the current. Consider an infinitesimal segment ds of the wire. This segment produces a magnetic field dB at a point P. Let r be the vector from ds to P. Then dB = (mu_0 / 4*pi) I ds x r / r^3, where mu_0 = 4*pi*10^-7 T.m/A (Tesla*meter/Ampere). The SI unit of the magnetic field is Tesla. The constant mu_0 is called the permeability of free space. The magnetic field produced by the whole wire is then obtained by integration.
  • In the lecture, Biot-Savart law is applied to the calculation of the magnetic field produced by a current carrying straight wire, a semicircular wire, and a circular wire.

Magnetic Field Produced By Current, Part 1

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
  • Biot-Savart Law 0:11
    • Suppose A current Carrying Wire
    • Magnetic Field Produced by the Tiny Element is Also Tiny
    • Permeability of Free Space
  • B-Field of a Straight Wire 8:40
    • Wire in X Axis
    • What is the Magnetic Field Produce at Point p
    • Taking a Small Segment
    • If Length is Infinite
  • Semi Circular Wire 27:02
    • Semicircular Wire of Radius 'R'
    • Finding Magnetic Field at Center
  • Circular Current in Loop 33:37
    • Circular Loop with Current 'I'
    • Current Above the Center
  • Example 1: Loop Carrying Current
  • Example 2: Concentric Loops