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Question: A piece of wire of resistance 4 ohms is bent through \(180 ^ { \circ }\) at its mid point and the ...

A piece of wire of resistance 4 ohms is bent through 180∘180 ^ { \circ } at its mid point and the two halves are twisted together, then the resistance is

A

8 ohms

B

1 ohm

C

2 ohms

D

5 ohms

Answer

1 ohm

Explanation

Solution

In twisted wire, two halves each of resistance 2Ω2 \Omegaare in parallel, so equivalent resistance will be 22=1Ω\frac { 2 } { 2 } = 1 \Omega.