A wire is bent into a circle. The effective resistance across the diameter is 8 Ω. Find the resistance of the wire.

In this question we are given with the resistance across the diameter AB which 8 ohms is, and we have to calculate the resistance of the wire formed from the circle across its free ends.

The situation of resistors is same as of previous question, So,

We need to find the resistance of the two parallel wires and then we can find the resistance of the total full wire.

Let the resistance of the parallel wires be R ohm each.

So, , R_t ,

We are given that R_t = 8 ohm, so, R = 2 R_t = 2× 8 = 16 ohm.

So, the total resistance of the full straight wire across it’s ends will be 16 + 16 = 2× 16 = 32 ohm, because R was the resistance of half wire.