Question

A piece of wire of resistance 10 ohm is drawn out so that its length is increased to three times it's original length. calculate the new resistance

correct explanation will be mark as brainliest answer​

Answer 1

Answer:

The new resistance will be 3 times the original resistance.

R' = 3R

Given:

A resistance of wire is 10 Ω.

To Find:

The new resistance.

Solution:

To find the new resistance = ?

Resistance, R = 10 Ω ...(Given).

Let l be the length of a wire.

• R ∝ 1

According to the question,

If the length is increased three times,

• L = 3L

So, new resistance = ?

• R' ∝ L' ∝ 3L
• R/R' = L/3L = 1/3.

Therefore,

• R' = 3R.

∴ New resistance = 3 times original resistance.