TNgavendra
Answered

A wire of resistance 4Ω is stretched uniformly to three times its original length. Calculate the new resistance of the wire.



Answer :

bgurung1422

Answer:

The new resistance of the wire would be 12Ω.

olumideolawoyin

Answer:

12 ohms

Explanation:

Resistance (R) of a wire is directly proportional to its length (L) i.e R = kL, where k is the constant of proportionality.

k = R/L, k1 = k2

R1/L1 = R2/L2

Given R1 = 4 ohms, L2 = 3L1

4/L1 = R2/3L1

R2 = (4 × 3L1) ÷ L1

R2 = 12L1 ÷ L1

R2 = 12 ohms

Therefore, the new resistance is 12 ohms