Question

Determine the effective resistance of a semi-horse shoe structure between its end-to-end faces (A and B) as illustrated in Fig. B.5. Note the three metallic parts shown have different resistivity values a:s indicated. The inner radius of the semicircular part is 'a' cm; the length of the vertical post is L cm and the cross-section of the assembly has a width, w cm and thickness, h cm. Derive the necessary formula used. 2 ohm/mete p W/2 ohm-meter 3 ohm FIG. B.5 Solution hints Suppose 1, 2, 3 are the conducting regions respectively with pi, p2 and p2 resistivities indicated.; and, R1, R2 and R3 are the corresponding resistance values ample answer. Rtotal -R3 (RR2) ohms

Answer 1