Question

The current i flows through a wire of radius r and the free electron drift with a velocity d what is the drift velocity of electrons through a wire of same material but having double the radius ,when a current of 2i flows through it

Answer 1

Answer:

use the formula in the photo, take ratio for the 2 cases and find the answer, hope this helps

Answer 2

The new drift velocity gets halved.

Explanation:

The formula of drift velocity is given by :

$v_d=\dfrac{I}{neA}$ .......(1)

Here,

I is current

n is number of charge per unit volume

A is area of cross section, A = πr²

When the radius of wire is doubled and current of 2 I flows through it. New drift velocity is given by :

$v_d'=\dfrac{I'}{ne\pi r'^2}\\\\v_d'=\dfrac{2I}{ne\pi (2r)^2}\\\\v_d'=\dfrac{1}{2}\times \dfrac{I}{neA}\\\\v_d'=\dfrac{v_d}{2}$

So, the new drift velocity gets halved.

Learn more,

Drift velocity

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