A Hall-effect probe operates with a 120 -mA current. When the probeis placed in

Question

A Hall-effect probe operates with a 120 -mA current. When the probeis placed in a uniform magnetic field of magnitude 0.0900 T, itproduces a Hall voltage of 0.760 µV. The thickness of theprobe in the direction of B is 2.00 mm. What isthe density of the charge carriers, each of which has charge ofmagnitude e.

Explanation / Answer

e = 1.6 x 10-19 C I = 120 mA B = 0.09 T VH = 0.760 V    t = 2 mm = 2 x 10-3 m We know that           VH =   B ( I / q t) ==> q = B I / VH t             = 0.09 * 120 x 10-3 / 0.76 x 10-6 * 2 x10-3              = 7.10 x 106 C The number of electrons n = q / e                                                   = 7.10 x 106 / 1.6 x 10-19                                            = 4.440 x 1025 electrons

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