Equivalent resistance between the adjacent corners of a regular n -sided polygon of uniform wire of resistance R would be :

Step-by-step solution

Given the total resistance of the wire is R . If the polygon has n numbers of side, then the resistance r , as shown in the following figure, of each side can be written as r =   R n . . . . . . . . . . . . . . . . . ( 1 ) Among all the resistances, n - 1 resistances are connected in series combination, whereas, their equivalent resistance is connected in parallel with the n th resistance. The equivalent circuit diagram for the above set of resistances can be depicted as follows: From the above equivalent circ