Question

A wire of 50 ohm resistance is cut into 5 pieces. Then these pieces are connected in parallel. What will be equivalent resistance ?

• A. 0.5 ohm
• B. 2 ohm
• C. 50 ohm
• D. 250 ohm

Answer 1

The correct option is B 2 ohm

The resistance of the material is directly connected to it’s length. So when the wire is cut cut into equal parts, then the resistance is reduced by the no of parts.

when 50 ohm wire is cut into 5 equal part. Then each part will have a resistance of 50/5=10 ohm.

Again when connecting parallel, the total resistance will be,

1/R = 1/10+1/10+1/10+1/10+1/10

1/R = 5/10

R = 2 ohm