Question

A Hall-effect probe operates with a 120-mA current. When the probe is placed in a uniform magnetic field of magnitude 0.0820 T, it produces a Hall voltage of 0.720 V. (a) When it is used to measure an unknown magnetic field, the Hall voltage is 0.320 WV. What is the magnitude of the unknown field? x Your response differs from the correct answer by more than 10%. Double check your calculations. mt (b) The thickness of the probe in the direction of B is 2.60 mm. Find the density of the charge carriers, each of which has charge of magnitude e). x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m

Answer 1

ANE B = Solution :- Change in Hall volhage, which is oduced in a uniform magnetic field, is I.B nat where na charge carrier density. magnetic field 1.6x103 cze=q = dearon charge fe) t = thickness of material. niform magnetic field. so operating in an uniform magnetic field. AV4 - IB/nat so nat B = 0.082T 0.72x10-6V 11.14x70% T/v and so, magnitude of magnetic current ni the I AVH unknown

the TA field Hall voltage is 0.32 B for unknown in may netic field B= (nat ) (AV) -(1.14.x105).(0.32 x 10 0.03648 T or = 36.48 MT B ngt ngt = 114x105Tlv 114x10 s. I qt q=1,14X105 x 120x70 | .6 x po 256X20-3) 25 3.29 x 10 m density of charge carriers 25 3.29 x 10°