A wire of uniform thickness with a resistance of 27Ω is cut into thr

1.	A wire of uniform thickness with a resistance of 27Ω is cut into three equal pieces and they are joined in parallel. Find the resistance of Ike parallel combination.
Answer» A wire is cut into 3 peices Also Resistance of wire is proportional to length Resistance ∝ 1 Let length of wire =31 = 27Ω Resistance of each piece, 1 = 27/3 = 9Ω When connected in parallel Resultant resistance of combination R is 1/R = 1/9 + 1/9 + 1/9 = 3/9 = 1/3 ∴R= 3Ω

A wire of uniform thickness with a resistance of 27Ω is cut into three equal pieces and they are joined in parallel. Find the resistance of Ike parallel combination.

Answer»

A wire is cut into 3 peices

Also Resistance of wire is proportional to length Resistance ∝ 1

Let length of wire =31 = 27Ω

Resistance of each piece, 1 = 27/3 = 9Ω

When connected in parallel Resultant resistance of combination

R is 1/R = 1/9 + 1/9 + 1/9 = 3/9 = 1/3

∴R= 3Ω