In a particular metal, the mobility of the mobile electrons is . At a particular moment the net electric field everywhere inside a cube of this metal isin thedirection. What is the average drift speed of the mobile electrons in the metal at this instant?

The given data is listed below as:

• The value of the net electric field of the metal is,$E=0.053\mathrm{N}/\mathrm{C}$
• The mobile electron’s mobility is,$u=0.0077\mathrm{m}/\mathrm{s}/\mathrm{N}/\mathrm{C}$

The speed at which mobile charges move through a conductor is called the drift speed. Moreover, the average drift is calculated as the product of the value of the net electric field and the mobile electron’s mobility.

The equation of the average drift speed of the mobile electrons is expressed as:

$v=uE$

Here, $u$is the mobile electron’s mobility and $E$is the value of the net electric field.

Substitute the values in the above equation.

role="math" localid="1656925397222" $v=0.0077\mathrm{m}/\mathrm{s}/\mathrm{N}/\mathrm{C}\times 0.053\mathrm{N}/\mathrm{C}$

role="math" localid="1656925368417" $=4.08\times {10}^{-4}\mathrm{m}/\mathrm{s}$

Thus, the average drift speed of the mobile electrons in the metal is role="math" localid="1656925344278" $4.08\times {10}^{-4}\mathrm{m}/\mathrm{s}$.