Electromagnetism and the Bio-Savart Law

What is the value of permeability OF free space?

Try this

Evaluate the Bio-Savart Law by taking a smartphone while recording Magnetometer and Accelerometer data by mounting it on a cart on a frictionless track through a current-carrying coil of known numbers of turns, radius, and current.

Challenge yourself

  • Double integrate the accelerometer data after export as a .csv to determine the position of the smartphone with respect to the center of the coil.
  • Create a graph of magnetic field strength, B, versus position with respect to the center of the coil, y.
  • Modify the graph to linearize the data. (i.e., plot B^(-2/3) versus y^2.)
  • Determine permeability of free space using the known Bio-Savart Law.