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Unformatted text preview: ECE 340 Homework VII Spring 2004 Due: Monday, February 23, 2004 1. In soldering wires to a sample such as that shown in Fig. 3-25, it is difficult to align the Hall probes A and B precisely. If B is displaced slightly down the length of the bar from A, an erroneous Hall voltage results. Show that the true Hall voltageV H can be obtained from two measurements of V AB , with the magnetic field first in the +Z direction and then in the Z direction. Solutions When misaligned, the V AB is composed of two part, the Hall voltage ( V H ) and an ohmic voltage drop V d . i.e., A B H d V V V = + Suppose the first measurement with magnetic field in the +Z direction gives V AB1: 1 1 1 A B H d V V V = + The second measurement with magnetic field in the -Z direction gives V AB2: 2 2 2 A B H d V V V = + Then, 1 2 H H H V V V = = , 1 2 d d V V = Therefore, ( ) 1 2 1 2 H A B A B V V V = 2. Consider a silicon sample at 300 K. Assume that the hole concentration varies linearly with distance. At x=0, the hole Consider a silicon sample at 300 K....
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