Question

A wire of certain length has a resistance of 24 ohm. If is recast by reducing its length to half. Calculate the new resistance.​

Answer 1

Explanation:

Solution. (a) Resistance of a wire is directly proportional to the length of a wire; so if the length is doubled, resistance is also doubled. ... Thus, if radius is doubled, area increases four times and hence the resistance becomes one-fourth.

Answer 2

Answer:

R' = 6 ohm

Explanation:

R = 24 ohm

R = pl/A

length is reduced to half so area will be doubled

Let new resistance be R'

l' = l/2

A' = 2A

R' = pl'/A'

R' = pl/2 x 2 A

R' = 1/4(pl/A)

R' = 1/4 ( R)

R' = 24/4

R' = 6 ohm

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