Multiple choice

A Hall effect element used for measuring magnetic field strength gives an output voltage of 10.5 mV. The element is made of silicon and is 2.5 mm thick and carries a current of a 4 A. The Hall coefficient is 4.1 x 10-6 Vm/A-wb/m2. Calculate the magnetic field strength.

  1. 1.6 Wb/m2

  2. 2.6 Wb/m2

  3. 0.63 Wb/m2

  4. 4.7 Wb/m2
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A Correct answer
Explanation

Hall effect element thickness , t = 2.5 mm = 2.5 x 10-3 m Output voltage(V H) = 10.5 m V = 10.5 x 10-3 V Current ( I) = 4A Hall coefficient (k H) = 4.1 x 10-6 Vm / A-wb/m2 Therefore, V H = (kH IB/) t B (magnetic field strength) = (V H x t)/(kH I) = (10.5 x 10-3 x 2.5 x 10-3)/(4.1 x 10-6 x 4) = 1.6 Wb/m2 

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