Experiments on Magnetic Fields:
Background
Please explain how the hall probe works. In this explanation should be an explanation of
the hall effect. Draw a diagram of the probe and include how the current reacts to the
magnetic field.
Derive the magnetic field in between the inside and outside currents for the setup in
section 1 (field of straight-line currents). Please answer all questions in the calculations
part of section 1.
Derive the equation for the magnetic field along the z-axis shown in section 2 (field of a
circular line current). Take the limits of (z/R)<<1 and (z/R)>>1 and show your results.
Please answer all questions in the calculations part of section 2.
What are Helmholtz coils and what are they used for? What are three medical machines
that use large magnetic fields? How are those magnetic fields generated?
Toroidal Coil
Please provide a plot of the r (x) vs. B (y). What dependence does the magnetic field
have on position from the z-axis? What is the theory and what did you find? Please
compare the power and amplitude in theory and experiment.
From first order propagation of errors what is the error in the power of the fit? Hint: it is
a function of B and r. What is this function?
Was there any axial or azimuthal dependence on the magnetic field?
Wire Loop
Please provide a plot of the z (x) vs. B (y). What dependence does the magnetic field
have on position along the z-axis? What is the theory and what did you find? Compare
different regimes (take the limits of (z/R)<<1 and (z/R)>>1). What could have been
improved about your measurement. Please compare the power and amplitude in theory
and experiment.