Question

a wire of resistance 10ohm is bend in the form of closed circle calculate the effective resistance between two points at the end of diameter of circle ​

Answer 1

When a resistance is bent in a circle, the resistors are are connected in parallel.

Each of the resistors (the 2 parallel resistors of the circle) have a resistance of 10 ohms.

So we get the following-

Req = R1 x R2 / R1R2 (where Req is equivalent resistance in parallel connections)

OR

⇒1/Rp =1/R1 + 1/R2 ( where Rp is resistance in parallel )

⇒ 1/Rp = 1/10 + 1/10

⇒1/Rp = 2/10

⇒ Rp = 10/2

⇒ Rp = 5 ohms