Consider a rectangular sample, a metal or an n-type semiconductor, with a length L, width...

Consider a rectangular sample, a metal or an n-type semiconductor, with a length L, width W, and thickness D. A current I is passed along L, perpendicular to the cross-sectional area WD. The face W × L is exposed to a magnetic field density B. A voltmeter is connected across the width, as shown in Figure 2.40, to read the Hall voltage VH.

a.   Show that the Hall voltage recorded by the voltmeter is

         Hall voltage

b.   Consider a 1-micron-thick strip of gold layer on an insulating substrate that is a candidate for a Hall probe sensor. If the current through the film is maintained at constant 100 mA, what is the magnetic field that can be recorded per μV of Hall voltage?