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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
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Lecture Comments (1)

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Post by Timothy Holmes on August 28, 2014

For  the vertical segment, if I grasp the wire with my right hand and point my thumb in the direction of the current, my four fingers go counertclockwise and not into the page.

If I use (ds X r) to give me the direction, it is into the page. Both ways for determining the direction of the magnetic field should give me the same result?

Magnetic Field Produced By Current, Part 2

  • Ampere’s Law: Consider a wire carrying a current. The current produces a magnetic field. Now consider a closed path. Ampere’s law states that the integral of B.dl around the closed path is equal to mu_0*I, where I is the current enclosed within the closed path.
  • Ampere’s law is useful in calculating the magnetic field produced by highly symmetric current distributions.
  • In the lecture, examples are given that show how to apply Ampere’s law to calculate the magnetic field produced by a current carrying long, straight, cylindrical wire, a toroid, and a solenoid.

Magnetic Field Produced By Current, Part 2

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
  • Ampere's Law 0:16
    • Consider a Loop at Any Point in Loop
  • Long Cylindrical Wire 9:08
    • Wire of Radius 'r'
    • Magnetic Field is Tangent to Circle and Has Same Magnitude
    • B at r>R
    • B at r<R
    • B at r=R
  • Toroid 26:58
    • Wrap a Wire to Toroid
    • Calculating the Magnetic Field for 1 Loop
  • Solenoid 39:17
    • Coil With Many Turns
    • Each Loop Carrying Current
    • Taking Loop Within the Solenoid and Close the Loop
    • Applying Ampere's Law
  • Example 1: Infinitely Long Wire
  • Example 2: Straight Wire
  • Example 3: Two Parallel Conductors
  • Example 4: Solenoid