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If we stretch the wire to double its length what will be effect on drift velocity?

If we stretch the wire to double its length what will be effect on drift velocity?

Grade:12th pass

1 Answers

Arun
25763 Points
3 years ago

I will answer the question considering the following 2 cases :-

1. The length of the weir is doubles but the cross sectional are of the wire is not changes ( 2 wires of same crooks sectional area and made up of the same material are connected end to end and the same potential difference is applied) - In this case the resistance of the wire increases 2 times. Since drift velocity of electrons is inversely proportional to the resistance of the wire, it becomes one half.

I = N×E×A×V

I=current

N= no. Density of electrons

A= area of cross section of the wire

V= drift velocity.

I is inversely proportional to R and thus V is also inversely proportional to R.

2. The length of the wire is doubled and thus cross section of the wire gets halved - In this case the resistance of the wire increases by 4 times and thus drift velocity becomes one fourth.

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