Problem: Anisotropic Layer

 

Samples are cut from a single-crystal specimen in four different directions and are labeled 1, 2, 3, and 4 (see Figure 7.2). Each cut has the same length and cross section; the width and thickness of each is much less than its length. The resistance of cuts 1 and 3 are measured to be equal, ; the resistance of cut 2 is . What is the resistance of cut 4?

  
Figure 7.2: The four samples, labeled 1, 2, 3, and 4, cut from an anisotropic material. There is a increment between the subsequent cuts.