Question

A copper wire of of 2.5 x 10 m² area
carries a current of 1.6 A. If the number
of density of the electrons in the wire is
8 x 1028/m}, then calculate the drift
speed of the electrons in the wire.
(e = 1.6 x 10-19 C)​

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

A copper wire of of 2.5 x 10 m² area carries a current of 1.6 A. If the number of density of the l electrons in the wire is 8 x ${\sf 10^{28}\:m^{-3}}$ then l calculate the drift speed of the electrons in the wire. (e = 1.6 x 10-19 C)

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Area (A) = 2.5 × 10 m²
• Current ( I ) = 1.6 A
• Number of Density of electron ( n ) = ${\sf 8×10^{28}\:m^{-3}}$
• e = ${\sf 1.6×10^{-18}C}$

$\large\underline{\underline{\sf To\:Find:}}$

• Drift speed of electron. ${\sf (v_d)}$

✪$\large{\boxed{\bf \blue{v_d=\dfrac{I}{neA}}}}$

$\implies{\sf \dfrac{1.6}{8×10^{28}×1.6×10^{-19}×2.5×10}}$

$\implies{\sf \dfrac{1.6}{320×10^9} }$

$\implies{\sf 5×10^{-3}×10^{-9}}$

$\implies{\bf \red{v_d=5×10^{-12}\:m/s} }$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Drift speed of Electron is ${\bf \red{5×10^{-12}}}$