How does the resistance of a wire change when
(i) its length is tripled?
(ii) its diameter is tripled?
(ii) its material is chanaged to one whose resistivity is three times?

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Solution

We know that, the resistance of a wire

R directly proportional to L

R directly proportional to resistivity. A

R inversely proportional to A

(a) if length is tripled: l'=3l,then the new resistance R'=3R

Hence resistance also gets tripled.

(b)if diameter is tripled :d'=3d

New resistance will be 1/9 times of original resistance, since area is inversely proportional to R.

(c) if resistivity is three times the original resistivity:

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