A Hall probe, consisting of a rectangular slab of current-carrying material, is

Question

A Hall probe, consisting of a rectangular slab of current-carrying material, is calibrated by placing it in a known magnetic field of magnitude 0.11 T . When the field is oriented normal to the slab's rectangular face, a Hall emf of 10 mV is measured across the slab's width. The probe is then placed in a magnetic field of unknown magnitude B, and a Hall emf of 56 mV is measured. Determine B assuming that the angle between the unknown field and the plane of the slab's rectangular face is A. 90degrees and B. 60 degrees.

Explanation / Answer

General expression for hall effect V = IBsin(theta)/ned

B = 0.11 T, V = 10 mV

I/ned = V/B*sin(90) = 0.01/0.11

B = (V/sin(theta)*(ned/I)

(a) theta = 90 degrees, V = 56 mV

B = (0.056/sin90)(0.11/0.01)

B = 0.616 T

(b) theta = 60 degrees, V = 56 mV

B = (0.056/sin60)(0.11/0.01)

B = 0.711 T

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