Question

a 1m long nichrome wire has a resistance of 8ohm,what is the resistance of a 3m long nichrome wire of the same diameter​

Answer 1

Answer:

R₂ = 24 Ω

Explanation:

Given

Length of nichrome wire L₁ = 1 m

The resistance of the wire R₁ = 8Ω

Now

Length of the nichrome wire L₂ = 3 m

Let the new resistance be R₂.

We know that

R ∝ L  [where L is the length of the conductor/ wire]

⇒ R₁/R₂  = L₁/L₂

⇒8 / R₂ = 1/3

⇒R₂ = 3*8

∴ R₂ = 24 Ω