When a current flows in an aluminum wire of diameter 2.91 mm 2.91 mm , the drift speed of the conduction electrons is 0.000191 m/s 0.000191 m/s . How many electrons are flowing past a given point each second? The conduction electron density in aluminum is 6.00 × 10 28 m − 3 6.00×1028 m−3 .

Number of electrons are flowing per second is 2.42 x 10¹⁹

Explanation:

The electric current flows through a wire is given by the relation :

  ....(1)

Here I is current, e is electronic charge, v is drift velocity of electrons and A is the Area of the wire.

But electric current is also define as rate of electrons passing through junction times their charge, i.e. ,

     ....(2)

Here N is the rate of electrons passing through junction.

From equation (1) and (2).

But area of wire,

Here d is diameter of wire.

So,

Substitute 2.91 x 10⁻³ m for d, 0.000191 m/s for v and 6 x 10²⁸ m⁻³ for n in the above equation.

N = 2.42 x 10¹⁹ s⁻¹  

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